2 4 Multiplying and Dividing Integers WRITE THIS

2 -4 Multiplying and Dividing Integers WRITE THIS ON YOUR PAGE MULTIPLYING AND DIVIDING INTEGERS If the signs are: Your answer will be: the same positive different negative Holt CA Course 1

2 -4 Multiplying and Dividing Integers Example 2: Multiplying Integers Find each product. A. – 6 (– 5) 30 Both signs are negative, so the product is positive. B. – 4 7 – 28 Holt CA Course 1 The signs are different, so the product is negative.

2 -4 Multiplying and Dividing Integers Example 3: Dividing Integers Find each quotient. A. 35 ÷ (– 5) 35 ÷ (-5) – 7 The signs are different, so the quotient is negative. B. – 48 ÷ 6 – 48 ÷ (6) – 8 Holt CA Course 1 The signs are different, so the quotient is negative.

2 -4 Multiplying and Dividing Integers Example 4: Weather Application At 7: 00, the temperature was 14ºF. As a cold front approached, the temperature dropped 6ºF per hour over the next 4 hours. What was the temperature at 11: 00? Subtract the total number of degrees to find out what the temperature was at 11: 00. 14 – 6 4 Multiply 6 by 4 to find the total number of degrees; then subtract it from the original temperature of 14ºF. 14 – 24 Use the order of operations. Multiply first. Then subtract. – 10 Holt CA Course 1 The temperature at 11: 00 was – 10 F.

2 -4 Multiplying and Dividing Integers Check It Out! Example 1 B Use a number line to find the product. – 5 3 = 3 (– 5) + (– 5) Use the Commutative Property. Think: Start at 0. Add – 5 three times. + (– 5) -15 -14 -13 -12 -11 -10 -9 -8 -7 – 5 3 = – 15 Holt CA Course 1 + (– 5) -6 -5 -4 -3 -2 -1

2 -4 Multiplying and Dividing Integers Check It Out! Example 2 Find each product. – 2 (– 8) 16 Holt CA Course 1 Both signs are negative, so the product is positive.

2 -4 Multiplying and Dividing Integers Check It Out! Example 3 Find each quotient. – 25 ÷ (– 5) – 25 ÷ – 5 5 Holt CA Course 1 The signs are the same, so the quotient is positive.

2 -4 Multiplying and Dividing Integers Check It Out! Example 4 At 4: 00, the train was 20 miles from the station. The train traveled 18 miles away from the station per hour over the next 6 hours. How far was the train from the station at 10: 00? Add the total number of miles from the train station to find out how far the train was at 10: 00. 20 + 18 6 20 + 108 128 Holt CA Course 1 Multiply 18 by 6 to find the total number of miles; then add it to the original distance of 20 miles. Use the order of operations. Multiply first. Then add. The train was 128 miles from the station at 10: 00.