Multiplying and Dividing Integers
Using sign rules to find products and quotients
Multiplying and Dividing Integers
Using sign rules to find products and quotients
Math - Grade 6-8
- 1
Find the product: -7 × 6.
First multiply 7 × 6, then decide the sign.
The product is -42 because a negative number multiplied by a positive number gives a negative answer. - 2
Find the quotient: -56 ÷ -8.
The quotient is 7 because a negative number divided by a negative number gives a positive answer. - 3
Find the product: 9 × -4.
A product with exactly one negative factor is negative.
The product is -36 because a positive number multiplied by a negative number gives a negative answer. - 4
Find the quotient: 72 ÷ -9.
The quotient is -8 because a positive number divided by a negative number gives a negative answer. - 5
A submarine descends 12 meters each minute for 5 minutes. Write and solve an integer multiplication expression to show the total change in depth.
Descending means the change is negative.
The expression is -12 × 5 = -60, so the submarine's depth changes by -60 meters. - 6
Complete the pattern: 4 × 3 = 12, 4 × 2 = 8, 4 × 1 = 4, 4 × 0 = 0, 4 × -1 = __, 4 × -2 = __.
The missing values are -4 and -8 because the products decrease by 4 each step. - 7
Find the value of -6 × -11.
Two negative signs in multiplication make a positive result.
The product is 66 because multiplying two negative numbers gives a positive answer. - 8
Find the value of -81 ÷ 9.
The quotient is -9 because a negative number divided by a positive number gives a negative answer. - 9
A student says -5 × -3 = -15. Explain the mistake and give the correct answer.
Check the sign rule for two negative factors.
The mistake is that the student kept the answer negative. The correct answer is 15 because a negative times a negative is positive. - 10
The temperature drops by 4 degrees each hour for 7 hours. What is the total temperature change?
The total temperature change is -28 degrees because -4 × 7 = -28. - 11
Fill in the missing integer: __ × -8 = 48.
The product is positive, so the two factors must have the same sign.
The missing integer is -6 because -6 × -8 = 48. - 12
Fill in the missing integer: -96 ÷ __ = 12.
The missing integer is -8 because -96 ÷ -8 = 12. - 13
Evaluate the expression: (-3)(4)(-2).
Multiply two factors at a time and track the sign after each step.
The value is 24 because -3 × 4 = -12, and -12 × -2 = 24. - 14
A bank account changes by -15 dollars each day for 6 days. What is the total change in the account balance?
A loss or withdrawal can be represented by a negative integer.
The total change is -90 dollars because -15 × 6 = -90. - 15
Use the sign rule chart to decide the sign of each answer, then compute: -10 × 12 and -144 ÷ -12.
The first answer is -120 because a negative times a positive is negative. The second answer is 12 because a negative divided by a negative is positive.