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7th grade · Math · Unit 12 of 16

Multiply & Divide Signed Numbers

Sign rules

What your child practices

Multiplying and dividing positive and negative numbers (including fractions), using the sign rules, and real-world changes such as falling temperatures.

Arizona Academic Standards learning standard: 7.NS.A.2 · multiplying and dividing rational numbers, including negative numbers

How we explain it

Children can open this short lesson before they practice.

  1. Multiply or divide the numbers as usual.
  2. Same signs give a positive answer.
  3. Different signs give a negative answer.

Example: What is −6 × 4? 6 × 4 = 24. Different signs: negative. Answer: −24

Multiply & Divide Signed Numbers in Arizona

In the Arizona Academic Standards, this is unit 12 of 16 in 7th grade Math, after Mean, Median & Mode and before Proportional Relationships.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Arizona Department of Education

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    What is −20 ÷ (−5)?

    −20 ÷ (−5) = ?

    answer box

  2. Question 2

    What is 1/4 × (−24)?

    • -96
    • -6
    • -4
    • 6

  3. Question 3

    The temperature falls 6 degrees every hour for 2 hours. What is the total change in temperature, in degrees? (Use a negative number for a fall.)

    answer box

  4. Question 4

    Without multiplying: is (−6) × 5 × (−3) positive or negative?

    • Negative
    • Positive

  5. Question 5

    What is 1 × (−11)?

    1 × (−11) = ?

    answer box

  6. Question 6

    A change of −$24 is shared equally by 4 friends. What is each friend's change, in dollars?

    answer box

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