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Relate multiplication and division using visual models of footballs and soccer balls.

Worksheet titled "Relate Multiplication and Division" with two sections showing footballs and soccer balls to write multiplication and division sentences.

Worksheet titled "Relate Multiplication and Division" with two sections showing footballs and soccer balls to write multiplication and division sentences.

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Show Answer Key & Explanations Step-by-step solution for: Relating Multiplication and Division Sentences - Math Worksheets ...
Let's solve each problem step by step based on the visual models provided.

---

Problem 1: Footballs



We see 3 rows of footballs, and each row has 7 footballs.

So, total number of footballs =
$$
3 \times 7 = 21
$$

Now, write:

- One multiplication sentence
- Two related division sentences

#### Multiplication:
$$
3 \times 7 = 21
$$

#### Division (related facts):
- Total divided by number of rows → number per row:
$$
21 \div 3 = 7
$$
- Total divided by number per row → number of rows:
$$
21 \div 7 = 3
$$

---

Problem 2: Soccer Balls



We see 4 soccer balls, arranged in a 2×2 grid.

So, there are 2 rows, 2 columns, and total = 4 balls.

We can think of this as:
$$
2 \times 2 = 4
$$

Now, write:

- One multiplication sentence
- Two related division sentences

#### Multiplication:
$$
2 \times 2 = 4
$$

#### Division:
- $$
4 \div 2 = 2
$$
- $$
4 \div 2 = 2
$$

(Note: Since both factors are the same, the two division sentences are identical.)

---

Final Answers:



#### Problem 1:
- Multiplication: $ 3 \times 7 = 21 $
- Division: $ 21 \div 3 = 7 $
- Division: $ 21 \div 7 = 3 $

#### Problem 2:
- Multiplication: $ 2 \times 2 = 4 $
- Division: $ 4 \div 2 = 2 $
- Division: $ 4 \div 2 = 2 $

---

📝 Explanation:


Multiplication and division are inverse operations.
If you have a multiplication fact like $ a \times b = c $, then:
- $ c \div a = b $
- $ c \div b = a $

This relationship helps us understand how grouping and sharing relate to each other.

For example:
- In Problem 1: 3 groups of 7 make 21.
- So, if you divide 21 into 3 groups → 7 each.
- Or divide 21 into groups of 7 → 3 groups.

Similarly for Problem 2: 2 groups of 2 make 4, so dividing 4 by either 2 gives 2.

All answers are consistent with the models shown.
Parent Tip: Review the logic above to help your child master the concept of relating multiplication and division worksheet.
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