Let’s solve each problem one by one, step by step.
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Problem 1:
Expression:
> 4³ + 15 ÷ 3
We follow the
order of operations:
P.E.M.D.A.S. → Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right)
In this expression:
- There are no parentheses.
- There is an exponent: 4³ → that comes first!
- Then division: 15 ÷ 3
- Then addition.
So, the
first operation you need to solve is the
exponent.
✔ Correct answer:
C. Exponent
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Problem 2:
Expression:
> 2⁵
This means “2 multiplied by itself 5 times”.
So:
2 × 2 × 2 × 2 × 2
Not 2 × 5 — that would be wrong.
✔ Correct answer:
B. 2 × 2 × 2 × 2 × 2
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Problem 3:
Solve:
> 2 × 3³ + 10
Step 1: Do the exponent first → 3³ = 3 × 3 × 3 = 27
Step 2: Multiply → 2 × 27 = 54
Step 3: Add → 54 + 10 = 64
✔ Correct answer:
B. 64
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Problem 4:
Expression:
> 6² − 92 ÷ 4
Order of operations:
- First: Exponent → 6²
- Second: Division → 92 ÷ 4
- Third: Subtraction → result of exponent minus result of division
So order is:
Exponent, Divide, Subtract
✔ Correct answer:
B. Exponent, Divide, Subtract
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Problem 5:
Solve:
> 4² + 7 × 2
Step 1: Exponent → 4² = 16
Step 2: Multiplication → 7 × 2 = 14
Step 3: Addition → 16 + 14 = 30
✔ Correct answer:
D. 30
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Problem 6:
Solve:
> 70 ÷ 5 − 2³
Step 1: Exponent → 2³ = 8
Step 2: Division → 70 ÷ 5 = 14
Step 3: Subtraction → 14 − 8 = 6
✔ Correct answer:
B. 6
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Final Answer:
1. C
2. B
3. B
4. B
5. D
6. B
Parent Tip: Review the logic above to help your child master the concept of order of operations with rational numbers worksheet.
