Back to Student Worksheet
Math Grade 6-8 Answer Key

Sign When Multiplying or Dividing Integers Practice

Practice deciding whether products and quotients are positive or negative

Answer Key
Name:
Date:
Score: / 12

Sign When Multiplying or Dividing Integers Practice

Practice deciding whether products and quotients are positive or negative

Math - Grade 6-8

Instructions: Read each problem carefully. Decide the sign first, then find the value when needed. Show your work in the space provided.
  1. 1

    Find the value of (-6)(4). Explain how you decided the sign.

    When the signs are different, the answer is negative.

    The value is -24. A negative number times a positive number gives a negative product.
  2. 2

    Find the value of (-8)(-3). Explain how you decided the sign.

    The value is 24. A negative number times a negative number gives a positive product.
  3. 3

    Find the value of 45 ÷ (-9). Explain how you decided the sign.

    Different signs make a negative answer.

    The value is -5. A positive number divided by a negative number gives a negative quotient.
  4. 4

    Find the value of (-56) ÷ (-7). Explain how you decided the sign.

    The value is 8. A negative number divided by a negative number gives a positive quotient.
  5. 5

    Complete the sign chart for multiplication: positive times positive, positive times negative, negative times positive, and negative times negative.

    Same signs give a positive product, and different signs give a negative product.

    Positive times positive is positive. Positive times negative is negative. Negative times positive is negative. Negative times negative is positive.
  6. 6

    Without multiplying first, decide whether (-12)(5)(-2) is positive or negative. Then find the value.

    An even number of negative factors gives a positive product.

    The expression is positive, and the value is 120. There are two negative factors, so the product is positive.
  7. 7

    Without multiplying first, decide whether (-4)(-3)(-2) is positive or negative. Then find the value.

    The expression is negative, and the value is -24. There are three negative factors, so the product is negative.
  8. 8

    A submarine descends at a rate of 6 meters per minute. Write the rate as -6 meters per minute. How far has the submarine moved after 5 minutes? Use integer multiplication.

    A descent can be represented by a negative number.

    The submarine has moved -30 meters. The expression is (-6)(5) = -30, which means it descended 30 meters.
  9. 9

    A quiz has a penalty of -2 points for each incorrect answer. If a student gets 7 answers incorrect, what is the total penalty?

    The total penalty is -14 points. The expression is (-2)(7) = -14.
  10. 10

    A temperature changes by -24 degrees over 6 equal hours. What is the temperature change per hour? Use integer division.

    A total decrease divided into equal time periods stays negative.

    The temperature change per hour is -4 degrees. The expression is (-24) ÷ 6 = -4.
  11. 11

    Fill in the missing sign to make the equation true: (-9) ÷ (3) = 3 or -3. Explain your choice.

    The correct answer is -3. A negative number divided by a positive number gives a negative quotient.
  12. 12

    Choose the expression with a positive result: A. (-5)(6), B. 18 ÷ (-3), C. (-4)(-7), or D. (-20) ÷ 5. Explain your choice.

    Look for same signs when multiplying or dividing.

    Expression C has a positive result. The expression (-4)(-7) has two negative numbers, so the product is positive.
LivePhysics™.com Math - Grade 6-8 - Answer Key