Here’s the solution to each question with a clear explanation:
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**1. Which property of multiplication is shown below:
0 × 27 = 0**
✔ Answer: B. Zero Property
Explanation:
The
Zero Property of Multiplication states that any number multiplied by zero equals zero.
Here, 0 × 27 = 0 — this matches the definition exactly.
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**2. Which property of multiplication is shown below:
17 × 113 = 113 × 17**
✔ Answer: B. Commutative Property
Explanation:
The
Commutative Property says that changing the order of the factors does not change the product.
a × b = b × a → 17 × 113 = 113 × 17 ✔️
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**3. Which property of multiplication is shown below:
1 × 83 = 83**
✔ Answer: A. Identity Property
Explanation:
The
Identity Property states that any number multiplied by 1 remains unchanged.
1 × 83 = 83 — so 1 is the multiplicative identity.
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4. Rewrite (9 × 6) × 5 using the associative property.
✔ Answer: B. 9 × (6 × 5)
Explanation:
The
Associative Property allows you to regroup factors without changing the product:
(a × b) × c = a × (b × c)
So, (9 × 6) × 5 = 9 × (6 × 5)
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5. Which of these illustrates the associative property of multiplication?
✔ Answer: A. 3 × (2 × 7) = (3 × 2) × 7
Explanation:
This shows regrouping: left side groups 2 and 7 first, right side groups 3 and 2 first — same result.
That’s the Associative Property.
- B is commutative (order changed)
- C is zero property
- D is distributive property (multiplication over addition)
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6. Which of these illustrates the zero property of multiplication?
✔ Answer: A. 5 × 0 = 0
Explanation:
The
Zero Property says any number times zero is zero.
5 × 0 = 0 — perfect example.
- B and D are commutative or associative
- C is distributive property
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✔ Final Answers:
1.
B
2.
B
3.
A
4.
B
5.
A
6.
A
Let me know if you’d like explanations for the remaining questions (7–19) too!
Parent Tip: Review the logic above to help your child master the concept of properties of multiplication worksheet grade 5.
