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Order of Operations
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Name:Date:
Order of Operations
Work through each expression carefully. Use BODMAS: brackets first, then orders (powers), then division and multiplication from left to right, followed by addition and subtraction from left to right. Show your steps where asked.
B — Brackets
O — Orders, such as powers
D and M — Division and multiplication, from left to right
A and S — Addition and subtraction, from left to right
Choose the correct answer
1.What is the value of 7 + 5 × 4?
- 48
- 27
- 35
- 24
2.Which expression has a value of 30?
- 6 + 4 × 5
- (6 + 4) × 2
- 6 × (4 + 1)
- 6 × 4 + 3
3.Evaluate 36 ÷ 3 × (2 + 4).
- 2
- 8
- 72
- 18
4.In 18 − 2 × (9 − 5) + 12 ÷ 3, which calculation should be done first?
- 18 − 2
- 9 − 5
- 2 × 9
- 12 ÷ 3
Work it out
Show the steps you used to find each answer.
5.Calculate 4 × (8 + 2) − 18 ÷ 3.
6.Find the missing number: 9 + □ × 3 = 30.
7.Evaluate (32 − 8) ÷ 6 + 5 × 3.
8.Write two different expressions that each equal 20. Each expression must use brackets and at least three operations.
Use order of operations in a problem
9.At a sports club, Harper buys 3 entry passes for $6 each and a drink for $4. She pays with a $25 note. Write one expression using brackets to show her change, then calculate it.
10.Explain how brackets can change the value of an expression. Use 6 + 2 × 5 and (6 + 2) × 5 in your explanation.
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