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Order of Operations Exponents
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Order of Operations Exponents
📚 Part 1: Understanding GEMA
Remember GEMA: Groupings, Exponents, Multiplicative (× ÷), Additive (+ −)
1. What does 4² mean?
4 + 2
4 × 2
4 × 4
2 × 2 × 2 × 2
2. Using GEMA, which operation should be done FIRST in: 5 + 2³ × 3?
5 + 2
2³
8 × 3
All at once
3. Which expressions equal 36? (Check all that apply)
6²
2³ + 4²
(3 + 3)²
3² × 4
✏️ Part 2: Step-by-Step Calculations
Show your working clearly. Use one equals sign per line.
4. Calculate: 3 + 2⁴ ÷ 4
5. Calculate: (1 + 4)² × 2 - 10
6. Calculate: 6 × 3² + 2³
7. A square garden has sides of 5 metres. If you add a 2-metre border around the entire perimeter, what is the area of the new larger square?
Expression: _____________ = _____________ m²
🤔 Part 3: Problem Solving & Reasoning
8. Sarah calculated 4 + 3² × 2 and got 98. What mistake did she make?
9. Why is the order of operations important in real-world calculations? Give an example.
10. Challenge: Create your own expression that equals 25 using at least one exponent and three different operations.
My expression: _________________________________
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