Whole Numbers

WHOLE NUMBERS

CONTENT

Development of number system
Place values
Counting: tens; hundreds; thousands; millions;…trillions
Translating numbers written in figures to words
Quantitative reasoning

Development of Number System

There were many ancient ways of writing numbers part of which are the Hindu Arabic system, tally system, Roman system, etc. While so many have gone into extinction, the Roman system is still in use up to date.

The Roman Number System

The Roman number system was developed about 300BC. The Romans used capital letters of the alphabet for numerals. The tables below show how to use the letters.

[[["",null,"",null,null,null,null,null,null,null,null,""],["","1","I",null,"11","XI",null,"30","XXX",null,"500","D"],["","2","II",null,"12","XII",null,"40","XL",null,"600","DC"],[null,"3","III",null,"13","XIII",null,"50","L",null,"700","DCC"],[null,"4","IV",null,"14","XIV",null,"60","LX",null,"800","DCCC"],[null,"5","V",null,"15","XV",null,"70","LXX",null,"900","CM"],[null,"6","VI",null,"16","XVI",null,"80","LXXX",null,"1,000","M"],[null,"7","VII",null,"17","XVII",null,"90","XC",null,"2,000","MM"],[null,"8","VIII",null,"18","XVIII",null,"100","C",null,"3,000","MMM"],[null,"9","IX",null,"19","XIX",null,"200","CC",null,"4,000","MV"],[null,"10","X",null,"20","XX",null,"300","CCC",null,"5,000","V"],[null,null,null,null,null,null,null,"400","CD",null,"10,000","X"]],[{"row":0,"col":0,"visualRow":0,"visualCol":0,"prop":0},{"row":0,"col":1,"visualRow":0,"visualCol":1,"prop":1},{"row":0,"col":2,"visualRow":0,"visualCol":2,"prop":2},{"row":0,"col":3,"visualRow":0,"visualCol":3,"prop":3},{"row":0,"col":4,"visualRow":0,"visualCol":4,"prop":4},{"row":0,"col":5,"visualRow":0,"visualCol":5,"prop":5},{"row":0,"col":6,"visualRow":0,"visualCol":6,"prop":6},{"row":0,"col":7,"visualRow":0,"visualCol":7,"prop":7},{"row":0,"col":8,"visualRow":0,"visualCol":8,"prop":8},{"row":0,"col":9,"visualRow":0,"visualCol":9,"prop":9},{"row":0,"col":10,"visualRow":0,"visualCol":10,"prop":10},{"row":0,"col":11,"visualRow":0,"visualCol":11,"prop":11},{"row":1,"col":0,"visualRow":1,"visualCol":0,"prop":0},{"row":1,"col":1,"visualRow":1,"visualCol":1,"prop":1,"borders":{"className":"border_row1col1","border":{"width":1,"color":"#000","cornerVisible":false},"row":1,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":1,"col":2,"visualRow":1,"visualCol":2,"prop":2,"borders":{"className":"border_row1col2","border":{"width":1,"color":"#000","cornerVisible":false},"row":1,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":1,"col":3,"visualRow":1,"visualCol":3,"prop":3},{"row":1,"col":4,"visualRow":1,"visualCol":4,"prop":4,"borders":{"className":"border_row1col4","border":{"width":1,"color":"#000","cornerVisible":false},"row":1,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":1,"col":5,"visualRow":1,"visualCol":5,"prop":5,"borders":{"className":"border_row1col5","border":{"width":1,"color":"#000","cornerVisible":false},"row":1,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":1,"col":6,"visualRow":1,"visualCol":6,"prop":6},{"row":1,"col":7,"visualRow":1,"visualCol":7,"prop":7,"borders":{"className":"border_row1col7","border":{"width":1,"color":"#000","cornerVisible":false},"row":1,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":1,"col":8,"visualRow":1,"visualCol":8,"prop":8,"borders":{"className":"border_row1col8","border":{"width":1,"color":"#000","cornerVisible":false},"row":1,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":1,"col":9,"visualRow":1,"visualCol":9,"prop":9},{"row":1,"col":10,"visualRow":1,"visualCol":10,"prop":10,"borders":{"className":"border_row1col10","border":{"width":1,"color":"#000","cornerVisible":false},"row":1,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":1,"col":11,"visualRow":1,"visualCol":11,"prop":11,"className":"htLeft","borders":{"className":"border_row1col11","border":{"width":1,"color":"#000","cornerVisible":false},"row":1,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":2,"col":0,"visualRow":2,"visualCol":0,"prop":0},{"row":2,"col":1,"visualRow":2,"visualCol":1,"prop":1,"borders":{"className":"border_row2col1","border":{"width":1,"color":"#000","cornerVisible":false},"row":2,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":2,"col":2,"visualRow":2,"visualCol":2,"prop":2,"borders":{"className":"border_row2col2","border":{"width":1,"color":"#000","cornerVisible":false},"row":2,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":2,"col":3,"visualRow":2,"visualCol":3,"prop":3},{"row":2,"col":4,"visualRow":2,"visualCol":4,"prop":4,"borders":{"className":"border_row2col4","border":{"width":1,"color":"#000","cornerVisible":false},"row":2,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":2,"col":5,"visualRow":2,"visualCol":5,"prop":5,"borders":{"className":"border_row2col5","border":{"width":1,"color":"#000","cornerVisible":false},"row":2,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":2,"col":6,"visualRow":2,"visualCol":6,"prop":6},{"row":2,"col":7,"visualRow":2,"visualCol":7,"prop":7,"borders":{"className":"border_row2col7","border":{"width":1,"color":"#000","cornerVisible":false},"row":2,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":2,"col":8,"visualRow":2,"visualCol":8,"prop":8,"borders":{"className":"border_row2col8","border":{"width":1,"color":"#000","cornerVisible":false},"row":2,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":2,"col":9,"visualRow":2,"visualCol":9,"prop":9},{"row":2,"col":10,"visualRow":2,"visualCol":10,"prop":10,"borders":{"className":"border_row2col10","border":{"width":1,"color":"#000","cornerVisible":false},"row":2,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":2,"col":11,"visualRow":2,"visualCol":11,"prop":11,"className":"htLeft","borders":{"className":"border_row2col11","border":{"width":1,"color":"#000","cornerVisible":false},"row":2,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":3,"col":0,"visualRow":3,"visualCol":0,"prop":0},{"row":3,"col":1,"visualRow":3,"visualCol":1,"prop":1,"borders":{"className":"border_row3col1","border":{"width":1,"color":"#000","cornerVisible":false},"row":3,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":3,"col":2,"visualRow":3,"visualCol":2,"prop":2,"borders":{"className":"border_row3col2","border":{"width":1,"color":"#000","cornerVisible":false},"row":3,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":3,"col":3,"visualRow":3,"visualCol":3,"prop":3},{"row":3,"col":4,"visualRow":3,"visualCol":4,"prop":4,"borders":{"className":"border_row3col4","border":{"width":1,"color":"#000","cornerVisible":false},"row":3,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":3,"col":5,"visualRow":3,"visualCol":5,"prop":5,"borders":{"className":"border_row3col5","border":{"width":1,"color":"#000","cornerVisible":false},"row":3,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":3,"col":6,"visualRow":3,"visualCol":6,"prop":6},{"row":3,"col":7,"visualRow":3,"visualCol":7,"prop":7,"borders":{"className":"border_row3col7","border":{"width":1,"color":"#000","cornerVisible":false},"row":3,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":3,"col":8,"visualRow":3,"visualCol":8,"prop":8,"borders":{"className":"border_row3col8","border":{"width":1,"color":"#000","cornerVisible":false},"row":3,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":3,"col":9,"visualRow":3,"visualCol":9,"prop":9},{"row":3,"col":10,"visualRow":3,"visualCol":10,"prop":10,"borders":{"className":"border_row3col10","border":{"width":1,"color":"#000","cornerVisible":false},"row":3,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":3,"col":11,"visualRow":3,"visualCol":11,"prop":11,"className":"htLeft","borders":{"className":"border_row3col11","border":{"width":1,"color":"#000","cornerVisible":false},"row":3,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":4,"col":0,"visualRow":4,"visualCol":0,"prop":0},{"row":4,"col":1,"visualRow":4,"visualCol":1,"prop":1,"borders":{"className":"border_row4col1","border":{"width":1,"color":"#000","cornerVisible":false},"row":4,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":4,"col":2,"visualRow":4,"visualCol":2,"prop":2,"borders":{"className":"border_row4col2","border":{"width":1,"color":"#000","cornerVisible":false},"row":4,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":4,"col":3,"visualRow":4,"visualCol":3,"prop":3},{"row":4,"col":4,"visualRow":4,"visualCol":4,"prop":4,"borders":{"className":"border_row4col4","border":{"width":1,"color":"#000","cornerVisible":false},"row":4,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":4,"col":5,"visualRow":4,"visualCol":5,"prop":5,"borders":{"className":"border_row4col5","border":{"width":1,"color":"#000","cornerVisible":false},"row":4,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":4,"col":6,"visualRow":4,"visualCol":6,"prop":6},{"row":4,"col":7,"visualRow":4,"visualCol":7,"prop":7,"borders":{"className":"border_row4col7","border":{"width":1,"color":"#000","cornerVisible":false},"row":4,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":4,"col":8,"visualRow":4,"visualCol":8,"prop":8,"borders":{"className":"border_row4col8","border":{"width":1,"color":"#000","cornerVisible":false},"row":4,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":4,"col":9,"visualRow":4,"visualCol":9,"prop":9},{"row":4,"col":10,"visualRow":4,"visualCol":10,"prop":10,"borders":{"className":"border_row4col10","border":{"width":1,"color":"#000","cornerVisible":false},"row":4,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":4,"col":11,"visualRow":4,"visualCol":11,"prop":11,"className":"htLeft","borders":{"className":"border_row4col11","border":{"width":1,"color":"#000","cornerVisible":false},"row":4,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":5,"col":0,"visualRow":5,"visualCol":0,"prop":0},{"row":5,"col":1,"visualRow":5,"visualCol":1,"prop":1,"borders":{"className":"border_row5col1","border":{"width":1,"color":"#000","cornerVisible":false},"row":5,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":5,"col":2,"visualRow":5,"visualCol":2,"prop":2,"borders":{"className":"border_row5col2","border":{"width":1,"color":"#000","cornerVisible":false},"row":5,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":5,"col":3,"visualRow":5,"visualCol":3,"prop":3},{"row":5,"col":4,"visualRow":5,"visualCol":4,"prop":4,"borders":{"className":"border_row5col4","border":{"width":1,"color":"#000","cornerVisible":false},"row":5,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":5,"col":5,"visualRow":5,"visualCol":5,"prop":5,"borders":{"className":"border_row5col5","border":{"width":1,"color":"#000","cornerVisible":false},"row":5,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":5,"col":6,"visualRow":5,"visualCol":6,"prop":6},{"row":5,"col":7,"visualRow":5,"visualCol":7,"prop":7,"borders":{"className":"border_row5col7","border":{"width":1,"color":"#000","cornerVisible":false},"row":5,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":5,"col":8,"visualRow":5,"visualCol":8,"prop":8,"borders":{"className":"border_row5col8","border":{"width":1,"color":"#000","cornerVisible":false},"row":5,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":5,"col":9,"visualRow":5,"visualCol":9,"prop":9},{"row":5,"col":10,"visualRow":5,"visualCol":10,"prop":10,"borders":{"className":"border_row5col10","border":{"width":1,"color":"#000","cornerVisible":false},"row":5,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":5,"col":11,"visualRow":5,"visualCol":11,"prop":11,"className":"htLeft","borders":{"className":"border_row5col11","border":{"width":1,"color":"#000","cornerVisible":false},"row":5,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":6,"col":0,"visualRow":6,"visualCol":0,"prop":0},{"row":6,"col":1,"visualRow":6,"visualCol":1,"prop":1,"borders":{"className":"border_row6col1","border":{"width":1,"color":"#000","cornerVisible":false},"row":6,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":6,"col":2,"visualRow":6,"visualCol":2,"prop":2,"borders":{"className":"border_row6col2","border":{"width":1,"color":"#000","cornerVisible":false},"row":6,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":6,"col":3,"visualRow":6,"visualCol":3,"prop":3},{"row":6,"col":4,"visualRow":6,"visualCol":4,"prop":4,"borders":{"className":"border_row6col4","border":{"width":1,"color":"#000","cornerVisible":false},"row":6,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":6,"col":5,"visualRow":6,"visualCol":5,"prop":5,"borders":{"className":"border_row6col5","border":{"width":1,"color":"#000","cornerVisible":false},"row":6,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":6,"col":6,"visualRow":6,"visualCol":6,"prop":6},{"row":6,"col":7,"visualRow":6,"visualCol":7,"prop":7,"borders":{"className":"border_row6col7","border":{"width":1,"color":"#000","cornerVisible":false},"row":6,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":6,"col":8,"visualRow":6,"visualCol":8,"prop":8,"borders":{"className":"border_row6col8","border":{"width":1,"color":"#000","cornerVisible":false},"row":6,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":6,"col":9,"visualRow":6,"visualCol":9,"prop":9},{"row":6,"col":10,"visualRow":6,"visualCol":10,"prop":10,"borders":{"className":"border_row6col10","border":{"width":1,"color":"#000","cornerVisible":false},"row":6,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":6,"col":11,"visualRow":6,"visualCol":11,"prop":11,"className":"htLeft","borders":{"className":"border_row6col11","border":{"width":1,"color":"#000","cornerVisible":false},"row":6,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":7,"col":0,"visualRow":7,"visualCol":0,"prop":0},{"row":7,"col":1,"visualRow":7,"visualCol":1,"prop":1,"borders":{"className":"border_row7col1","border":{"width":1,"color":"#000","cornerVisible":false},"row":7,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":7,"col":2,"visualRow":7,"visualCol":2,"prop":2,"borders":{"className":"border_row7col2","border":{"width":1,"color":"#000","cornerVisible":false},"row":7,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":7,"col":3,"visualRow":7,"visualCol":3,"prop":3},{"row":7,"col":4,"visualRow":7,"visualCol":4,"prop":4,"borders":{"className":"border_row7col4","border":{"width":1,"color":"#000","cornerVisible":false},"row":7,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":7,"col":5,"visualRow":7,"visualCol":5,"prop":5,"borders":{"className":"border_row7col5","border":{"width":1,"color":"#000","cornerVisible":false},"row":7,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":7,"col":6,"visualRow":7,"visualCol":6,"prop":6},{"row":7,"col":7,"visualRow":7,"visualCol":7,"prop":7,"borders":{"className":"border_row7col7","border":{"width":1,"color":"#000","cornerVisible":false},"row":7,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":7,"col":8,"visualRow":7,"visualCol":8,"prop":8,"borders":{"className":"border_row7col8","border":{"width":1,"color":"#000","cornerVisible":false},"row":7,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":7,"col":9,"visualRow":7,"visualCol":9,"prop":9},{"row":7,"col":10,"visualRow":7,"visualCol":10,"prop":10,"borders":{"className":"border_row7col10","border":{"width":1,"color":"#000","cornerVisible":false},"row":7,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":7,"col":11,"visualRow":7,"visualCol":11,"prop":11,"className":"htLeft","borders":{"className":"border_row7col11","border":{"width":1,"color":"#000","cornerVisible":false},"row":7,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":8,"col":0,"visualRow":8,"visualCol":0,"prop":0},{"row":8,"col":1,"visualRow":8,"visualCol":1,"prop":1,"borders":{"className":"border_row8col1","border":{"width":1,"color":"#000","cornerVisible":false},"row":8,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":8,"col":2,"visualRow":8,"visualCol":2,"prop":2,"borders":{"className":"border_row8col2","border":{"width":1,"color":"#000","cornerVisible":false},"row":8,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":8,"col":3,"visualRow":8,"visualCol":3,"prop":3},{"row":8,"col":4,"visualRow":8,"visualCol":4,"prop":4,"borders":{"className":"border_row8col4","border":{"width":1,"color":"#000","cornerVisible":false},"row":8,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":8,"col":5,"visualRow":8,"visualCol":5,"prop":5,"borders":{"className":"border_row8col5","border":{"width":1,"color":"#000","cornerVisible":false},"row":8,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":8,"col":6,"visualRow":8,"visualCol":6,"prop":6},{"row":8,"col":7,"visualRow":8,"visualCol":7,"prop":7,"borders":{"className":"border_row8col7","border":{"width":1,"color":"#000","cornerVisible":false},"row":8,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":8,"col":8,"visualRow":8,"visualCol":8,"prop":8,"borders":{"className":"border_row8col8","border":{"width":1,"color":"#000","cornerVisible":false},"row":8,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":8,"col":9,"visualRow":8,"visualCol":9,"prop":9},{"row":8,"col":10,"visualRow":8,"visualCol":10,"prop":10,"borders":{"className":"border_row8col10","border":{"width":1,"color":"#000","cornerVisible":false},"row":8,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":8,"col":11,"visualRow":8,"visualCol":11,"prop":11,"className":"htLeft","borders":{"className":"border_row8col11","border":{"width":1,"color":"#000","cornerVisible":false},"row":8,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":9,"col":0,"visualRow":9,"visualCol":0,"prop":0},{"row":9,"col":1,"visualRow":9,"visualCol":1,"prop":1,"borders":{"className":"border_row9col1","border":{"width":1,"color":"#000","cornerVisible":false},"row":9,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":9,"col":2,"visualRow":9,"visualCol":2,"prop":2,"borders":{"className":"border_row9col2","border":{"width":1,"color":"#000","cornerVisible":false},"row":9,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":9,"col":3,"visualRow":9,"visualCol":3,"prop":3},{"row":9,"col":4,"visualRow":9,"visualCol":4,"prop":4,"borders":{"className":"border_row9col4","border":{"width":1,"color":"#000","cornerVisible":false},"row":9,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":9,"col":5,"visualRow":9,"visualCol":5,"prop":5,"borders":{"className":"border_row9col5","border":{"width":1,"color":"#000","cornerVisible":false},"row":9,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":9,"col":6,"visualRow":9,"visualCol":6,"prop":6},{"row":9,"col":7,"visualRow":9,"visualCol":7,"prop":7,"borders":{"className":"border_row9col7","border":{"width":1,"color":"#000","cornerVisible":false},"row":9,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":9,"col":8,"visualRow":9,"visualCol":8,"prop":8,"borders":{"className":"border_row9col8","border":{"width":1,"color":"#000","cornerVisible":false},"row":9,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":9,"col":9,"visualRow":9,"visualCol":9,"prop":9},{"row":9,"col":10,"visualRow":9,"visualCol":10,"prop":10,"borders":{"className":"border_row9col10","border":{"width":1,"color":"#000","cornerVisible":false},"row":9,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":9,"col":11,"visualRow":9,"visualCol":11,"prop":11,"className":"htLeft","borders":{"className":"border_row9col11","border":{"width":1,"color":"#000","cornerVisible":false},"row":9,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":10,"col":0,"visualRow":10,"visualCol":0,"prop":0},{"row":10,"col":1,"visualRow":10,"visualCol":1,"prop":1,"borders":{"className":"border_row10col1","border":{"width":1,"color":"#000","cornerVisible":false},"row":10,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":10,"col":2,"visualRow":10,"visualCol":2,"prop":2,"borders":{"className":"border_row10col2","border":{"width":1,"color":"#000","cornerVisible":false},"row":10,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":10,"col":3,"visualRow":10,"visualCol":3,"prop":3},{"row":10,"col":4,"visualRow":10,"visualCol":4,"prop":4,"borders":{"className":"border_row10col4","border":{"width":1,"color":"#000","cornerVisible":false},"row":10,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":10,"col":5,"visualRow":10,"visualCol":5,"prop":5,"borders":{"className":"border_row10col5","border":{"width":1,"color":"#000","cornerVisible":false},"row":10,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":10,"col":6,"visualRow":10,"visualCol":6,"prop":6},{"row":10,"col":7,"visualRow":10,"visualCol":7,"prop":7,"borders":{"className":"border_row10col7","border":{"width":1,"color":"#000","cornerVisible":false},"row":10,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":10,"col":8,"visualRow":10,"visualCol":8,"prop":8,"borders":{"className":"border_row10col8","border":{"width":1,"color":"#000","cornerVisible":false},"row":10,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":10,"col":9,"visualRow":10,"visualCol":9,"prop":9},{"row":10,"col":10,"visualRow":10,"visualCol":10,"prop":10,"borders":{"className":"border_row10col10","border":{"width":1,"color":"#000","cornerVisible":false},"row":10,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":10,"col":11,"visualRow":10,"visualCol":11,"prop":11,"className":"htLeft","borders":{"className":"border_row10col11","border":{"width":1,"color":"#000","cornerVisible":false},"row":10,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":11,"col":0,"visualRow":11,"visualCol":0,"prop":0},{"row":11,"col":1,"visualRow":11,"visualCol":1,"prop":1},{"row":11,"col":2,"visualRow":11,"visualCol":2,"prop":2},{"row":11,"col":3,"visualRow":11,"visualCol":3,"prop":3},{"row":11,"col":4,"visualRow":11,"visualCol":4,"prop":4},{"row":11,"col":5,"visualRow":11,"visualCol":5,"prop":5},{"row":11,"col":6,"visualRow":11,"visualCol":6,"prop":6},{"row":11,"col":7,"visualRow":11,"visualCol":7,"prop":7,"borders":{"className":"border_row11col7","border":{"width":1,"color":"#000","cornerVisible":false},"row":11,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":11,"col":8,"visualRow":11,"visualCol":8,"prop":8,"borders":{"className":"border_row11col8","border":{"width":1,"color":"#000","cornerVisible":false},"row":11,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}},{"row":11,"col":9,"visualRow":11,"visualCol":9,"prop":9},{"row":11,"col":10,"visualRow":11,"visualCol":10,"prop":10,"borders":{"className":"border_row11col10","border":{"width":1,"color":"#000","cornerVisible":false},"row":11,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}}},{"row":11,"col":11,"visualRow":11,"visualCol":11,"prop":11,"className":"htLeft","borders":{"className":"border_row11col11","border":{"width":1,"color":"#000","cornerVisible":false},"row":11,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"}},"jtcellstyle":{"color":"#001fea"}}],[{"row":1,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":1,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":1,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":1,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":1,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":1,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":1,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":1,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":2,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":2,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":2,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":2,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":2,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":2,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":2,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":2,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":3,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":3,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":3,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":3,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":3,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":3,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":3,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":3,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":4,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":4,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":4,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":4,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":4,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":4,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":4,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":4,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":5,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":5,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":5,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":5,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":5,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":5,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":5,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":5,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":6,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":6,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":6,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":6,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":6,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":6,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":6,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":6,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":7,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":7,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":7,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":7,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":7,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":7,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":7,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":7,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":8,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":8,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":8,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":8,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":8,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":8,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":8,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":8,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":9,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":9,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":9,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":9,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":9,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":9,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":9,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":9,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":10,"col":1,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":10,"col":2,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":10,"col":4,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":10,"col":5,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":10,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":10,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":10,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":10,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":11,"col":7,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":11,"col":8,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":11,"col":10,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}},{"row":11,"col":11,"top":{"width":"1","color":"#000"},"right":{"width":"1","color":"#000"},"bottom":{"width":"1","color":"#000"},"left":{"width":"1","color":"#000"},"border":{"width":1,"color":"#000","cornerVisible":false}}],[]]


	1	I		11	XI		30	XXX		500	D
	2	II		12	XII		40	XL		600	DC
	3	III		13	XIII		50	L		700	DCC
	4	IV		14	XIV		60	LX		800	DCCC
	5	V		15	XV		70	LXX		900	CM
	6	VI		16	XVI		80	LXXX		1,000	M
	7	VII		17	XVII		90	XC		2,000	MM
	8	VIII		18	XVIII		100	C		3,000	MMM
	9	IX		19	XIX		200	CC		4,000	MV
	10	X		20	XX		300	CCC		5,000	V
							400	CD		10,000	X

Example 1: Write these numbers in Roman numerals. (a) 25 (b) 105 (c) 49 (d) 2011 Solution: (a) 25 = XXV (b) 105 = CV (c) 49 = XLIX (d) 2011 = MMXI Example 2: What numbers do these Roman numerals represent? (a) XLVI (b) XCIX (c) MMCMLIV (d) MMMDCI Solution: (a) XLIV = 46 (b) XCIX = 99 (c) MMCMLIV = 2954 (d) MMMDCI = 3601 CLASS ACTIVITY 1. Write these numbers in Roman Numerals (a) 352 (b) 1 257 (c) 2456 2. Add the following Roman numerals and give your answers in figures (a) XXV and CV (b) XXIV and MDCIX.

What are whole numbers?

You are viewing an excerpt of this lesson. Subscribing to the subject will give you access to the following:

NEW: Download the entire term's content in MS Word document format (1-year plan only)
The complete lesson note and evaluation questions for this topic
The complete lessons for the subject and class (First Term, Second Term & Third Term)
Media-rich, interactive and gamified content
End-of-lesson objective questions with detailed explanations to force mastery of content
Simulated termly preparatory examination questions
Discussion boards on all lessons and subjects
Guaranteed learning

Lesson tags: JSS1 Mathematics, JSS1 Mathematics Evaluation Questions, JSS1 Mathematics Evaluation Questions First Term, JSS1 Mathematics First Term, JSS1 Mathematics Objective Questions, JSS1 Mathematics Objective Questions First Term, Mathematics Lesson Notes, Mathematics Objective Questions

Discussions on Mathematics

Filter:All Open Resolved Closed Unanswered

Rules and Guidelines for Posting in the Q & A Forum

Closed

ClassHall Instructor asked 6 years ago • Lounge

19972 views0 answers2 votes

Evaluate the following quadratic expressions

Open

Bella Baby asked 3 years ago • Mathematics

2052 views5 answers-1 votes

d + 6/3 = 5. What is the value of d?

Open

Michael Akasike answered 3 years ago • Mathematics

4464 views13 answers-1 votes

Please Simplify -2 [a – 2] = -3 [ b – 4 ]

Open

Ezimeruwe Oghenekaro asked 4 years ago • Mathematics

6188 views18 answers-1 votes

What are the prime numbers from 1 to 10?

Open

Fayo Ola asked 5 years ago • Mathematics

5652 views29 answers0 votes

Which is correct? 6÷2(2+1)

Open

Cliff Imasuen answered 3 years ago • Mathematics

4001 views5 answers0 votes

Mohammed borrowed ₦2,500 at 4% p.a. compound interest. He repays ₦600 at the end of each year. Find out during which year the debt will finish.

Open

Jeffrey Okhumode answered 4 years ago • Mathematics

5935 views4 answers-1 votes

How to get the root rule in logarithms?

Open

Olamide Akinyode asked 2 years ago • Mathematics

1168 views1 answers0 votes

How to calculate logarithm of 0.0014 without using calculator?

Open

Toluwalope Oladunjoye answered 2 years ago • Mathematics

1647 views0 answers0 votes

What is another name for a pie chart?

Open

Toyyib Ibrahim asked 4 years ago • Mathematics

5395 views12 answers0 votes

What are prime numbers?

Open

Ramsey Izuafa answered 4 years ago • Mathematics

4419 views18 answers-1 votes

When my brother was 11, I was twice his age. Now that he is 22, what is my age?

Open

Fayo Ola asked 4 years ago • Mathematics

6908 views14 answers-1 votes

Who invented algebra?

Open

Toyyib Ibrahim answered 4 years ago • Mathematics

4411 views14 answers1 votes

What are angles of elevation?

Open

Toyyib Ibrahim asked 4 years ago • Mathematics

2954 views3 answers1 votes

How many solid shapes are in mathematics?

Open

Halima Ahmadu asked 4 years ago • Mathematics

3348 views9 answers0 votes

Who invented logarithms?

Open

Sadiq Barau asked 4 years ago • Mathematics

3601 views10 answers1 votes

© [2022] Spidaworks Digital - All rights reserved.