Section 1.6 Division of Whole Numbers 51 Division of Whole Numbers Section 1.6 1. Introduction to Division Suppose 12 pieces of pizza are to be divided evenly among 4 children (Figure 1-8). The number of pieces that each child would receive is given by read “12 divided by 4.” 12 pieces of pizza Child 1 Child 2 Child 3 Child 4 The process of separating 12 pieces of pizza evenly among 4 children is called division. The statement 12 4 3 indicates that each child receives 3 pieces of pizza.The number 12 is called the dividend. It represents the number to be divided.The number 4 is called the divisor, and it represents the number of groups.The result of the division (in this case 3) is called the quotient. It represents the number of items in each group. Division can be represented in several ways. For example, the following are all equivalent statements. divisor quotient dividend dividend quotient divisor dividend divisor quotient Recall that subtraction is the inverse operation of addition. In the same way, division is the inverse operation of multiplication. For example, we say because Identifying the Dividend, Divisor, and Quotient 3 4 12. Example 1 Simplify each expression. Then identify the dividend, divisor, and quotient. 48 6 936 a. b. c. Solution: a. because 63 7 48 6 8 8 6 48 The dividend is 48, the divisor is 6, and the quotient is 8. 12 4 3 12 4 3 3 12 4 3 4 12 12 4, Concepts 1. Introduction to Division 2. Properties of Division 3. Long Division 4. Dividing by a Many-Digit Divisor 5. Translations and Applications Involving Division This bar is called a fraction bar. Figure 1-8 4 b. because 4 9 36 936 The dividend is 36, the divisor is 9, and the quotient is 4. 63 7 c. because 9 7 63 9 The dividend is 63, the divisor is 7, and the quotient is 9. Skill Practice Identify the dividend, divisor, and quotient. 1. 56 7 2. 420 3. 18 2 Answers 1. Dividend: 56; divisor: 7; quotient: 8 2. Dividend: 20; divisor: 4; quotient: 5 3. Dividend: 18; divisor: 2; quotient: 9
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