<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