Grade 7, Fractions, decimals and percents
Order of operations with decimals
Work out expressions with decimals in the right order, with and without brackets.
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: Two operations
- Multiply and divide first, from left to right. Then add and subtract, from left to right.
- Level 2: With brackets
- Do the brackets first. Then multiply and divide, from left to right. Then add and subtract, from left to right.
- Level 3: Three operations
- Do the brackets first. Then multiply and divide, from left to right. Then add and subtract, from left to right.
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: Two operations
2.5 + 1.2 × 3 = 6.1
- Multiply before you add: 1.2 × 3 = 3.6.
- Then add: 2.5 + 3.6 = 6.1.
- Only × and ÷, or only + and −? Go from left to right: 7.2 ÷ 4 × 5 = 1.8 × 5 = 9.
Level 2: With brackets
(4.6 − 1.8) × 5 = 14
- Brackets first: 4.6 − 1.8 = 2.8.
- Then multiply: 2.8 × 5 = 14.
Level 3: Three operations
4.8 − 0.6 × 3 + 1.5 = 4.5
- Multiply first: 0.6 × 3 = 1.8. That leaves 4.8 − 1.8 + 1.5.
- Then go from left to right. Subtract first: 4.8 − 1.8 = 3.
- Then add: 3 + 1.5 = 4.5.
- When a line has brackets, work out the brackets before anything else.
Goes with
Reference sheets
One-page helpers a student keeps beside this sheet:
- Order of operations
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.3
The wording of each standard is on the Province's mathematics curriculum page.
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