Because division is the inverse of multiplication, the rules for dividing integers are the same as the rules for multiplying integers. Dividing Integers If the signs are the same, the product is positive. -24 ÷ (-3) = 8 –6 ÷ (–3) = 2 If the signs are different, the quotient is negative. –20 ÷ 5 = –4 72 ÷ (–8) = –9 Zero divided by any integer equals 0. 14 __ –11 __ = 0 = 0 You cannot divide any integer by 0. 1

Example 1: Dividing Integers Find each quotient. A. –30 ÷ 6 B. –42 ÷ (–7) Think: What number times 6 equals –30? –5 • 6 = –30, so –30 ÷ 6 = –5. Think: What number times –7 equals –42? 6 • (–7) = –42, so –42 ÷ (–7) = 6. 2

Think: What number times 5 equals –15? Example 2 Find each quotient. A. –15 ÷ 5 B. –36 ÷ (–6) Think: What number times 5 equals –15? –3 • 5 = –15, so –15 ÷ 5 = –3. Think: What number times –6 equals –36? 6 • (–6) = –36, so –36 ÷ (–6) = 6. 3

Evaluate for each value of c. Example 3 Evaluate for each value of c. c = –15 c 3 __ c 3 __ Write the expression. -15 3 ___ = –15 ÷ 3 Substitute –15 for c. = –5 The signs are different, so the answer is negative. 4

Evaluate for each value of c. Check It Out: Example 2B Evaluate for each value of c. c = 12 c 3 __ c 3 __ Write the expression. 12 3 ___ = 12 ÷ 3 Substitute 12 for c. = 4 The signs are the same, so the answer is positive. 5

Evaluate for each value of x. 5. x = –12 6. x = 20 Lesson Quiz Find each quotient. 1. 18 ÷ (–3) 2. –36 ÷ (–6) 3. –64 ÷ (–8) 4. –45 ÷ 3 Evaluate for each value of x. 5. x = –12 6. x = 20 7. Carmen’s mom has $3,200 in her bank account. If she uses the money to make monthly rent payments of $375, how many whole payments can she make? –6 6 8 –15 x 4 __ –3 5 8 6