Grade 7, Operations
Multiply integers
Multiply positive and negative numbers with the sign rules, two or three at a time.
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.
- Level 2: Any signs
- Multiply.
- Level 3: Three numbers
- Multiply.
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
−6 × 7 = −42
- The signs are different, so the product is negative.
- −6 has size 6 (how far it is from 0). Multiply the sizes: 6 × 7 = 42, so −6 × 7 = −42.
- Two positive numbers have the same sign, so their product is positive: 6 × 7 = 42.
Level 2: Any signs
−8 × (−9) = 72
- The signs are the same, so the product is positive.
- −8 has size 8 (how far it is from 0). Multiply the sizes: 8 × 9 = 72, so −8 × (−9) = 72.
- Different signs give a negative product: 8 × (−9) = −72.
Level 3: Three numbers
−3 × 5 × (−4) = 60
- Multiply from left to right: −3 × 5 = −15. Different signs give a negative.
- Then −15 × (−4) = 60. Same signs give a positive.
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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