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.