Let's solve each question one by one and explain the reasoning behind the correct answers.
---
1. What is the commutative property of 5 × 3?
Commutative Property of Multiplication states that changing the order of the numbers does
not change the product.
So, $ 5 \times 3 = 3 \times 5 $
Correct Answer: C) 3 × 5
✔ Explanation: The commutative property means $ a \times b = b \times a $. So, $ 5 \times 3 $ becomes $ 3 \times 5 $.
---
2. What is the answer to a multiplication sentence called?
In multiplication:
- The numbers being multiplied are called
factors
- The result is called the
product
For example: $ 4 \times 5 = 20 $ → 20 is the
product
Correct Answer: C) Product
✔ Explanation: "Quotient" is for division, "Sum" is for addition, "Difference" is for subtraction.
---
3. Choose the correct distributive property of multiplication for 7 × 4
The
distributive property means breaking one factor into parts and multiplying each part separately.
We can break 7 as $ 5 + 2 $, so:
$ 7 \times 4 = (5 + 2) \times 4 = (5 \times 4) + (2 \times 4) $
Check the options:
- A) 28 → That’s the answer, not the distributive form
- B) $ (5 \times 4) + (2 \times 4) $ →
✔ This matches!
- C) $ 4 \times 7 $ → Commutative, not distributive
- D) $ (5 \times 2) + (2 \times 2) $ → Incorrect
Correct Answer: B) $ (5 \times 4) + (2 \times 4) $
✔ Explanation: Distributive property: $ (a + b) \times c = a \times c + b \times c $
---
4. What is the correct "count by" for 4 × 6?
"Count by" means counting in multiples of the first number.
$ 4 \times 6 $ means adding 4 six times:
4, 8, 12, 16, 20, 24
So the sequence is:
4, 8, 12, 16, 20, 24
Now check options:
- A) 4, 8, 12 → Only 3 terms, too short
- B) 4, 8, 16, 20, 24 → Missing 12 → incorrect
- C) 24 → Just the final product
- D) 4, 8, 12, 16, 20, 24 →
✔ All six steps
Correct Answer: D) 4, 8, 12, 16, 20, 24
✔ Explanation: Counting by 4s six times gives the full sequence.
---
5. What multiplication equation does the following array represent? Let the first factor represent the number of rows.
Array:
```
**
**
**
```
Each row has 6 stars, and there are 3 rows.
So:
- Number of rows = 3
- Stars per row = 6
→ Total = $ 3 \times 6 = 18 $
Now look at options:
- A) $ 6 + 3 = 18 $ → Wrong operation
- B) $ 6 \times 3 = 18 $ → Correct value, but
first factor is 6, which represents columns (not rows)
- C) 18 → Just the total, not an equation
- D) $ 3 \times 6 = 18 $ →
✔ First factor is 3 (number of rows), second is 6 (stars per row)
Correct Answer: D) $ 3 \times 6 = 18 $
✔ Explanation: The problem says "let the first factor represent the number of rows", so we write it as $ 3 \times 6 $.
---
✔ Final Answers:
1.
C) 3 × 5
2.
C) Product
3.
B) (5 × 4) + (2 × 4)
4.
D) 4, 8, 12, 16, 20, 24
5.
D) 3 × 6 = 18
Let me know if you'd like this printed or formatted differently!
Parent Tip: Review the logic above to help your child master the concept of commutative property of multiplication worksheet grade 3.