<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: