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GEMA Order of Operations
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GEMA Order of Operations
Use GEMA to evaluate each expression. Work through brackets first, then exponents, then products and quotients from left to right, and finally addition and subtraction from left to right. Show your working where space is provided.
GEMA essentials
1.Complete the GEMA reminder: G = ; E = ; M = ; A = .
2.In 7 + 4 × 3, which operation should be done first?
- Addition
- Multiplication
3.In (12 − 5) × 2, which operation should be done first?
- Subtraction inside the brackets
- Multiplication
Evaluate each expression
Show the order of your calculations.
4.Evaluate 9 + 5 × 2.
5.Evaluate (6 + 5) × 3.
6.Evaluate 3² + 2 × 7.
7.Evaluate 24 ÷ 6 + 5 × 2.
Apply and explain
8.At a supermarket, Zoe puts 4 packs of 3 snack bars into her trolley, then adds 5 single bars. Write an expression for the total number of bars and evaluate it.
9.Select every statement that correctly describes GEMA.
- Calculate inside brackets before operations outside them.
- Evaluate exponents before multiplication and division.
- Always do addition before multiplication.
- For multiplication and division together, work from left to right.
- For addition and subtraction together, work from left to right.
10.Harrison evaluates 8 + 3 × 4 by adding 8 + 3 first and gets 44. Identify his mistake, then show the correct calculation and answer.
11.Match each expression to its value.
- 10 + 2 × 5
- (10 + 2) × 5
- 2³ + 6
- 18 ÷ 3 + 1
- 60
- 20
- 7
- 14
12.Create an expression that uses at least three different operations, then evaluate it using GEMA.
13.Explain why two people need to follow the same order of operations when evaluating an expression.
3 printable pages
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