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Grade 7, Operations

Multiply and divide integers, mixed

Review multiplying and dividing positive and negative numbers, mixed on one sheet.

Three levels

One skill, rising difficulty

Each sheet carries one level. The three are the same skill at rising difficulty, each named for what it practises.

Level 1: At most one negative number
Multiply or divide.
Level 2: Any signs
Multiply or divide.
Level 3: Larger numbers
Multiply or divide.

Worked example

How the sheet explains it

The helper printed at the top of each sheet: one solved example and the steps a student follows, before the first question. Every number sentence in it is proven by the same checker as the answer key.

Level 1: At most one negative number

5 × (−8) = −40

  1. The signs are different, so the product is negative.
  2. −8 has size 8 (how far it is from 0). Multiply the sizes: 5 × 8 = 40, so 5 × (−8) = −40.
  3. Two positive numbers have the same sign, so the answer is positive: 5 × 8 = 40.
  4. The sign rules are the same when you divide: −40 ÷ 8 = −5.

Level 2: Any signs

−63 ÷ (−7) = 9

  1. The signs are the same, so the quotient is positive.
  2. −63 has size 63 (how far it is from 0). Divide the sizes: 63 ÷ 7 = 9, so −63 ÷ (−7) = 9.
  3. Check: 9 × (−7) = −63.
  4. Different signs give a negative answer when you multiply or divide: 63 ÷ (−7) = −9.

Level 3: Larger numbers

−96 ÷ (−6) = 16

  1. The signs are the same, so the quotient is positive.
  2. Split 96 into 60 + 36: 60 ÷ 6 = 10 and 36 ÷ 6 = 6.
  3. So 96 ÷ 6 = 10 + 6 = 16, and −96 ÷ (−6) = 16.
  4. To multiply, use parts too: 10 × 6 = 60 and 6 × 6 = 36. Different signs give a negative: 16 × (−6) = −96.

Goes with

Reference sheets

One-page helpers a student keeps beside this sheet:

  • Integers

Every reference, facts and support sheet is listed in the worksheet catalogue.

In the BC curriculum

Content standards

The British Columbia content standard this skill is written for, by the codes used across this site:

  • bc.math.7.c.2

The wording of each standard is on the Province's mathematics curriculum page.

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Back to all worksheets by grade, or read the Grade 7 guide to what this grade learns in British Columbia.