Unfortunately we could not locate the table you're looking for.<h1><strong>WHOLE NUMBERS</strong></h1> CONTENT <ol> <li>Development of number system</li> <li>Place values</li> <li>Counting: tens; hundreds; thousands; millions;…trillions</li> <li>Translating numbers written in figures to words</li> <li>Quantitative reasoning</li> </ol> <br> <h2><strong>Development of Number System</strong></h2> 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.   <h2><strong>The Roman Number System</strong></h2> 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. <strong>Example 1: </strong>Write these numbers in Roman numerals. (a) 25 (b) 105 (c) 49 (d) 2011 <strong>Solution:</strong> (a) 25 = XXV (b) 105 = CV (c) 49 = XLIX (d) 2011 = MMXI   <strong>Example 2: </strong>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 <strong>CLASS ACTIVITY</strong> 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.   <h2><strong>What are whole numbers? </strong></h2>

<h1><strong>WHOLE NUMBERS</strong></h1> CONTENT <ol> <li>Order of Operations (PEMDAS/BODMAS)</li> <li>Addition and Subtraction of Numbers with Place Values</li> <li>Use of Number Line</li> <li>Addition and Subtraction of Positive and Negative Numbers</li> </ol> <br> <h2><strong>Order of Operations (PENDAS/BODMAS)</strong></h2> <strong>Can you answer this?</strong> 7 - 1 × 0 + 3 ÷ 3 = ? In arithmetic, there are two types of components: the numbers themselves and the operators (also called operations) that tell you what to do with those numbers. The <strong><em>basic operators</em></strong> in arithmetic are addition (sum), subtraction (difference), multiplication (product) and division (quotient). So, in the sum 7 × 3 + 5 there are three numbers; 7, 3 and 5 and two operators, a multiplication (×) and an addition (+). The order of operations used throughout mathematics, science, technology and many computer programming languages is expressed here. <ol> <li>Exponents (index) and roots</li> <li>Multiplication and division</li> <li>Addition and subtraction</li> </ol> The definitive order of operations is summed up in the acronym <strong>BODMAS</strong>, which stands for Brackets, Order, Divide, Multiply, Add, Subtract. It would be easier if BODMAS was recognised worldwide, but unfortunately it isn’t. <img class="size-full wp-image-23462 aligncenter" src="https://classhall.com/wp-content/uploads/2018/06/whole-numbers-BODMAS.jpg" alt="Whole numbers - BODMAS" width="458" height="149" />

<h1><strong>BASIC OPERATIONS ON WHOLE NUMBERS</strong></h1> CONTENT <ol> <li>Multiplication of Positive and Negative Numbers</li> <li>Division of Integer</li> <li>Word Problems</li> </ol>   <h2><strong>Multiplication of Whole Numbers</strong></h2> The numbers used in multiplication have special names as illustrated below: 141 (factor) × 17 (factor) = 2397 (product) The product is a multiple of each of the factors, i.e. 2397 is a multiple of 141 2397 is a multiple of 17 Multiplication is a short way of writing repeated additions. For example, 3 × 4 = 3 lots of 4 = 4 + 4 + 4 = 12 With directed numbers, (+4) + (+4) + (+4) = 3 lots of (+4) = 3 × (+4) The multiplier is 3. It is positive. Thus, (+3) × (+4) = (+4) + (+4) + (+4) = +12 (+3) × (+4) 1 × (+4)     <span style="color: #ff0000">ILLUSTRATION TO BE ADDED SOON</span>   The illustration above shows 1 × (+4) and (+3) × (+4) as movement on the number line. The movements are in the same direction from 0. Similarly, (-2)+ (-2) + (-2) + (-2) + (-2) = 5 lots of (-2) = 5 × (-2) The multiplier is 5. It is positive. Thus, (+5) × (-2) = (-2) + (-2) + (-2) + (-2) + (-2) = -10 This is illustrated below:

Unfortunately we could not locate the table you're looking for.<h1><strong>LCM AND HCF OF WHOLE NUMBERS</strong></h1> CONTENT <ol> <li>Rules of Divisibility</li> <li>Definitions: Even, Odd, Prime and Composite Numbers</li> <li>Factors, Multiples and Index Form</li> <li>Expressing Numbers as Product of Prime Factors</li> <li>Common Factors and the Highest Common Factor (H.C.F) of Whole Numbers</li> <li>Least Common Multiple (L.C.M) of Whole Numbers</li> <li>Quantitative Reasoning on LCM and HCF</li> </ol>   <h2><strong>Rules of Divisibility</strong></h2> There are some simple rules of divisibility which enable us to find out whether a certain number is divisible by 2, 3, 4, 5, 6, 8, 9, 10 or 11. <strong>CLASS ACTIVITY </strong> 1. Using the rules of divisibility, find out which of the following numbers are divisible by (a) 2 (b) 5 (c) 4 (i) 136 (ii) 4 881 (iii) 372 (iv) 62, 784 (v) 1010 2. Which of the following numbers are divisible by (a) 3 and 9 (b) 4 and 5? (i) 637 245 (ii) 134 721 (iii) 10140.   <h2><strong>Definitions</strong></h2> <strong>Even Numbers:</strong> Even numbers are numbers that when divided by two has no remainder. All numbers that end in 0, 2, 4, 6, and 8 are even. Examples include: 34, 86, 26890, etc. <strong>Odd Numbers:</strong> These set of numbers has a remainder of one when it is divided by 2. All numbers that end in 1, 3, 5, 7 and 9 are odd numbers. Examples are 81, 1247, 30096, etc. <strong>Composite Numbers:</strong> These are numbers that are not prime numbers. They have factors other than 1 and the number itself. All even numbers except 2 are composite numbers. <br> <h2><strong>Factors, Multiples and their Relationship</strong></h2> <strong>Factors: </strong>When two or more smaller numbers multiply to give a bigger number, these smaller numbers are called <strong>factors </strong>of the bigger number<strong>. </strong>In another sense we can say a factor is a number which can divide another number exactly without any remainder. Examples: <ol> <li>The factors of 24 are 1, 2, 3, 4 , 6 , 8 , 12 , and 24.</li> <li>The factors of <strong> </strong>60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.</li> <li>The factors of 50 are 1, 2, 5, 10, 25 and 50.</li> </ol>

Unfortunately we could not locate the table you're looking for.<h1><strong>COUNTING IN BASE 2</strong></h1> CONTENT <ol> <li>Number Bases</li> <li>Counting in Group of Twos</li> <li>Conversion from Base 10 Numerals to Binary Numbers</li> <li>Conversion from Binary to Decimal</li> </ol>   <h2><strong>Number Bases</strong></h2> In Mathematics, a <strong>base</strong> or <strong>radix</strong> is the number of different digits or combination of digits and letters that a system of counting uses to represent numbers. For example, the most common base used today is the decimal system. Because "dec" means 10, it uses the 10 digits from 0 to 9. Most people think that we most often use base 10 because we have 10 fingers. A base can be any whole number bigger than 0 (if it was 0, then there would be no digits). The base of a number may be written next to the number: for instance, 23₈ means 23 in base 8 (which is equal to 19 in base 10). The popularity of the base 2, 8 and 16 is because of its use in modern technology.   <h2><strong>Counting in Groups of Twos (Binary)</strong></h2> A Binary Number is made up of only <strong>0</strong>s and <strong>1</strong>s. An example is 110100