Let's solve each of the
PEMDAS Challenges step by step to verify that each expression evaluates to
64, using the correct order of operations (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
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🔷 CHALLENGE A: Use the digits 12, 8, and 4
Expression:
$$
8 \times (12 - 4)
$$
Step-by-step:
1. Evaluate inside parentheses:
$12 - 4 = 8$
2. Multiply:
$8 \times 8 = 64$
✔ Answer: 64 — Correct!
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🔷 CHALLENGE B: Use the digits 4, 7, and 9
Expression:
$$
(9 + 7) \times 4
$$
Step-by-step:
1. Evaluate inside parentheses:
$9 + 7 = 16$
2. Multiply:
$16 \times 4 = 64$
✔ Answer: 64 — Correct!
---
🔷 CHALLENGE C: Use the digits 4, 3, 8, and 10
Expression:
$$
4 \times 10 + 3 \times 8
$$
Step-by-step:
1. Perform multiplications first (left to right):
$4 \times 10 = 40$
$3 \times 8 = 24$
2. Add:
$40 + 24 = 64$
✔ Answer: 64 — Correct!
> Note: This uses the
distributive property in a way:
> $4 \times 10 + 3 \times 8 = 40 + 24 = 64$
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🔷 CHALLENGE D: Use the digits 2, 6, 12, 16
Expression:
$$
12 \times 6 - 16 \div 2
$$
Step-by-step:
1. Multiplication and division first (left to right):
$12 \times 6 = 72$
$16 \div 2 = 8$
2. Subtract:
$72 - 8 = 64$
✔ Answer: 64 — Correct!
---
✔ Final Summary:
All four challenges are correctly solved and evaluate to
64:
| Challenge | Expression | Result |
|---------|------------|--------|
| A | $8 \times (12 - 4)$ | 64 |
| B | $(9 + 7) \times 4$ | 64 |
| C | $4 \times 10 + 3 \times 8$ | 64 |
| D | $12 \times 6 - 16 \div 2$ | 64 |
Each uses the given digits exactly once and follows
PEMDAS rules.
💡
Note: As mentioned, there may be alternative arrangements due to commutativity (e.g., in multiplication or addition), but the provided solutions are valid and correct.
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✔ All challenges solved successfully!
Parent Tip: Review the logic above to help your child master the concept of math worksheet answers.
