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Grade 7, Operations

Divide integers

Divide positive and negative numbers with the sign rules, and find a missing number.

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
Divide.
Level 2: Any signs
Divide.
Level 3: Find the missing number
Find the missing number.

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

−42 ÷ 6 = −7

  1. The signs are different, so the quotient is negative.
  2. −42 has size 42 (how far it is from 0). Divide the sizes: 42 ÷ 6 = 7, so −42 ÷ 6 = −7.
  3. Check: −7 × 6 = −42.
  4. Two positive numbers have the same sign, so their quotient is positive: 42 ÷ 6 = 7.

Level 2: Any signs

−72 ÷ (−8) = 9

  1. The signs are the same, so the quotient is positive.
  2. −72 has size 72 (how far it is from 0). Divide the sizes: 72 ÷ 8 = 9, so −72 ÷ (−8) = 9.
  3. Check: 9 × (−8) = −72.
  4. Different signs give a negative quotient: 72 ÷ (−8) = −9.

Level 3: Find the missing number

−54 ÷ −6 = 9

  1. −54 has size 54 (how far it is from 0). The divisor is missing, so divide the sizes: 54 ÷ 9 = 6.
  2. The quotient 9 is positive, so the signs are the same: the missing number is −6.
  3. Check: −54 ÷ (−6) = 9.
  4. If the first number is missing, multiply: ____ ÷ (−4) = 7 means 7 × (−4) = −28.

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.