GEMA Order of Operations

Name:

Date:

📚 Part 1: Understanding GEMA

1. What does the GEMA mnemonic stand for? Fill in the blanks:

G = _________________ (brackets)

E = _________________

M = _________________ (multiplication and division)

A = _________________ (addition and subtraction)

2. Which operation should be done FIRST in the expression: 5 + 2 × (8 - 3)?

Addition (5 + 2)

Multiplication (2 × something)

Brackets (8 - 3)

Exponent (something)

3. True or False: Multiplication and division are done from left to right when they appear together.

True

False

✏️ Part 2: Step-by-Step Solutions

4. Solve: (4 + 6) × 2 - 8 ÷ 4

Show your working using GEMA order. Write one step per line:

5. Solve: 15 - 3 × (2 + 1) + 6

Show your working using GEMA order:

6. Solve: 24 ÷ (8 - 2) + 3 × 2

Show your working using GEMA order:

🎯 Part 3: Problem Solving

7. Sarah calculated 2 + 3 × 4 and got 20. Explain what mistake she made and show the correct answer:

8. Create your own expression that uses all four parts of GEMA (brackets, exponents, multiplication/division, and addition/subtraction). Then solve it:

My expression: _________________________________

9. Which expression equals 16? Circle the correct answer(s):

(2 + 6) × 2

2 × 4

20 - 2 × 2

(5 - 1)

GEMA Order of Operations

GEMA Order of Operations

📚 Part 1: Understanding GEMA

✏️ Part 2: Step-by-Step Solutions

🎯 Part 3: Problem Solving

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