Let's solve each of these subtraction problems using
bar models as suggested. The bar models help visualize the total and the parts, making it easier to see what needs to be subtracted.
---
Problem 1:
> 7,926 people attended a football match.
> 1,253 were away supporters.
> How many home supporters were there?
Bar Model:
```
Total: [___________] = 7,926
[1,253] [?]
```
We need to find the unknown part (home supporters):
Calculation:
7,926 − 1,253 = ?
Let’s subtract step by step:
- 7,926 − 1,000 = 6,926
- 6,926 − 200 = 6,726
- 6,726 − 50 = 6,676
- 6,676 − 3 =
6,673
✔ Answer: 6,673 home supporters
---
Problem 2:
> 9,081 people attended the summer festival.
> 5,610 were wearing hats.
> How many were not wearing hats?
Bar Model:
```
Total: [___________] = 9,081
[5,610] [?]
```
Find the number not wearing hats:
Calculation:
9,081 − 5,610 = ?
Break it down:
- 9,081 − 5,000 = 4,081
- 4,081 − 600 = 3,481
- 3,481 − 10 =
3,471
✔ Answer: 3,471 people were not wearing hats
---
Problem 3:
> Mr. Fluffy sold 5,419 ice creams.
> 3,989 had flakes.
> How many had sprinkles?
Bar Model:
```
Total: [___________] = 5,419
[3,989] [?]
```
Subtract:
Calculation:
5,419 − 3,989 = ?
Let’s do it carefully:
- 5,419 − 3,000 = 2,419
- 2,419 − 900 = 1,519
- 1,519 − 80 = 1,439
- 1,439 − 9 =
1,430
✔ Answer: 1,430 ice creams had sprinkles
---
Problem 4:
> Tom walked 6,657 steps yesterday.
> He walked 2,343 in the morning.
> How many in the afternoon?
Bar Model:
```
Total: [___________] = 6,657
[2,343] [?]
```
Calculation:
6,657 − 2,343 = ?
Step-by-step:
- 6,657 − 2,000 = 4,657
- 4,657 − 300 = 4,357
- 4,357 − 40 = 4,317
- 4,317 − 3 =
4,314
✔ Answer: 4,314 steps in the afternoon
---
Problem 5:
> Splish Splash Water Park had 8,144 visitors last weekend.
> 4,276 went on Saturday.
> How many went on Sunday?
Bar Model:
```
Total: [___________] = 8,144
[4,276] [?]
```
Calculation:
8,144 − 4,276 = ?
Break it down:
- 8,144 − 4,000 = 4,144
- 4,144 − 200 = 3,944
- 3,944 − 70 = 3,874
- 3,874 − 6 =
3,868
✔ Answer: 3,868 visitors on Sunday
---
✔ Final Answers:
1.
6,673 home supporters
2.
3,471 not wearing hats
3.
1,430 with sprinkles
4.
4,314 steps in the afternoon
5.
3,868 visitors on Sunday
These problems all use
subtraction to find a missing part when the total and one part are known — exactly what bar models are great for!
Parent Tip: Review the logic above to help your child master the concept of bar modeling worksheet.