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Order of Operations Review
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Order of Operations Review
Use BIDMAS: work through brackets first, then indices, then multiplication and division from left to right, and finally addition and subtraction from left to right. Show your working where space is provided.
Calculate in the correct order
Work out each expression. Write the answer and show your steps.
1.Calculate 7 + 5 × 4.
2.Calculate (15 − 9) × 3 + 2.
3.Calculate 24 − 4 × 3 + 6.
4.Calculate 5 × (9 − 6) + 3².
5.Work out 30 ÷ 5 + 2 × (7 − 4). Which operation must be done first?
- 30 ÷ 5
- 5 + 2
- 7 − 4
- 2 × 7
6.Calculate 36 ÷ (3 + 3) × 4.
- 6
- 12
- 24
- 48
Check your understanding
Choose, match, and explain using the order of operations.
7.A student works out 6 + 4 × 5 by adding 6 + 4 first and gets 50. What should the student do differently, and what is the correct answer?
8.Match each expression to its value.
- 8 + 3 × 2
- (8 + 3) × 2
- 20 − 12 ÷ 4
- 20 − (12 ÷ 4)
- 17
- 14
- 22
- 17
9.True or false: In 18 − 6 ÷ 3, subtract before dividing because subtraction comes before division in BIDMAS.
TrueFalse
10.Evaluate 40 − 2³ × 3.
11.Calculate (18 − 6) ÷ 3 + 2 × 5. Show the order of your steps.
12.Explain why 9 + 2 × 6 has one correct value when everyone follows the order of operations.
13.Solve the challenge expression: 48 ÷ (2 × 3) + 4² − 5.
3 printable pages
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