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7th grade · Math · Unit 13 of 15

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.

Minnesota K-12 Academic Standards benchmark: 7.3.5.6 · multiplying and dividing positive and negative rational 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 Minnesota

In the Minnesota K-12 Academic Standards, this is unit 13 of 15 in 7th grade Math, after Center & Spread 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: Minnesota Department of Education (MDE)

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

    The temperature falls 5 degrees every hour for 5 hours. What is the total change in temperature, in degrees? (Use a negative number for a fall.)

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  2. Question 2

    What is −7 × 6?

    −7 × 6 = ?

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  3. Question 3

    What is −1/3 × 6?

    • -2
    • -3
    • -18
    • 2
  4. Question 4

    What is 28 ÷ (−7)?

    28 ÷ (−7) = ?

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  5. Question 5

    A change of −$16 is shared equally by 2 friends. What is each friend's change, in dollars?

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  6. Question 6

    Without multiplying: is 4 × (−6) × 2 positive or negative?

    • Positive
    • Negative