3-Digit Subtraction Activity - Addition and Subtraction - Free Printable
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Step-by-step solution for: 3-Digit Subtraction Activity - Addition and Subtraction
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Show Answer Key & Explanations
Step-by-step solution for: 3-Digit Subtraction Activity - Addition and Subtraction
The image provided is a 3-Digit Subtraction Activity Sheet. Below, I will solve the problems step by step and explain the solutions.
---
Section A: Basic 3-Digit Subtraction
#### a) 967 - 780
```
967
- 780
-----
187
```
- Subtract digit by digit from right to left:
- \( 7 - 0 = 7 \)
- \( 6 - 8 \): Borrow 1 from the hundreds place (9 becomes 8), so \( 16 - 8 = 8 \)
- \( 8 - 7 = 1 \)
#### b) 907 - 216
```
907
- 216
-----
691
```
- Subtract digit by digit:
- \( 7 - 6 = 1 \)
- \( 0 - 1 \): Borrow 1 from the hundreds place (9 becomes 8), so \( 10 - 1 = 9 \)
- \( 8 - 2 = 6 \)
#### c) 565 - 386
```
565
- 386
-----
179
```
- Subtract digit by digit:
- \( 5 - 6 \): Borrow 1 from the tens place (6 becomes 5), so \( 15 - 6 = 9 \)
- \( 5 - 8 \): Borrow 1 from the hundreds place (5 becomes 4), so \( 15 - 8 = 7 \)
- \( 4 - 3 = 1 \)
#### d) 423 - 335
```
423
- 335
-----
88
```
- Subtract digit by digit:
- \( 3 - 5 \): Borrow 1 from the tens place (2 becomes 1), so \( 13 - 5 = 8 \)
- \( 1 - 3 \): Borrow 1 from the hundreds place (4 becomes 3), so \( 11 - 3 = 8 \)
- \( 3 - 3 = 0 \)
#### e) 525 - 126
```
525
- 126
-----
399
```
- Subtract digit by digit:
- \( 5 - 6 \): Borrow 1 from the tens place (2 becomes 1), so \( 15 - 6 = 9 \)
- \( 1 - 2 \): Borrow 1 from the hundreds place (5 becomes 4), so \( 11 - 2 = 9 \)
- \( 4 - 1 = 3 \)
#### f) 888 - 396
```
888
- 396
-----
492
```
- Subtract digit by digit:
- \( 8 - 6 = 2 \)
- \( 8 - 9 \): Borrow 1 from the hundreds place (8 becomes 7), so \( 18 - 9 = 9 \)
- \( 7 - 3 = 4 \)
#### g) 680 - 204
```
680
- 204
-----
476
```
- Subtract digit by digit:
- \( 0 - 4 \): Borrow 1 from the tens place (8 becomes 7), so \( 10 - 4 = 6 \)
- \( 7 - 0 = 7 \)
- \( 6 - 2 = 4 \)
#### h) 763 - 199
```
763
- 199
-----
564
```
- Subtract digit by digit:
- \( 3 - 9 \): Borrow 1 from the tens place (6 becomes 5), so \( 13 - 9 = 4 \)
- \( 5 - 9 \): Borrow 1 from the hundreds place (7 becomes 6), so \( 15 - 9 = 6 \)
- \( 6 - 1 = 5 \)
---
Section B: Missing Numbers in Subtraction
#### a)
```
2 9
- 1 ?
-----
1 9
```
- To find the missing number:
- In the units place: \( 9 - ? = 9 \). This means \( ? = 0 \).
- In the tens place: \( 2 - 1 = 1 \), which matches.
- The missing number is 0.
#### b)
```
7 0
- ? 7
-----
6 3
```
- To find the missing number:
- In the units place: \( 0 - 7 \). Borrow 1 from the tens place (7 becomes 6), so \( 10 - 7 = 3 \).
- In the tens place: \( 6 - ? = 6 \). This means \( ? = 0 \).
- The missing number is 0.
#### c)
```
9
- 5 ?
-----
3 6
```
- To find the missing number:
- In the units place: \( 9 - ? = 6 \). This means \( ? = 3 \).
- In the tens place: \( 0 - 5 \). Since there is no borrowing shown, the setup seems incomplete or incorrect based on the given format. However, if we assume the problem is correctly structured, the missing number is 3.
#### d)
```
5 8 3
- ? 8 8
-----
4 9 5
```
- To find the missing number:
- In the units place: \( 3 - 8 \). Borrow 1 from the tens place (8 becomes 7), so \( 13 - 8 = 5 \).
- In the tens place: \( 7 - 8 \). Borrow 1 from the hundreds place (5 becomes 4), so \( 17 - 8 = 9 \).
- In the hundreds place: \( 4 - ? = 4 \). This means \( ? = 0 \).
- The missing number is 0.
#### e)
```
3 ?
- 2 7
-----
1 0
```
- To find the missing number:
- In the units place: \( ? - 7 = 0 \). This means \( ? = 7 \).
- In the tens place: \( 3 - 2 = 1 \), which matches.
- The missing number is 7.
#### f)
```
1 ?
- 2 3
-----
0 4
```
- To find the missing number:
- In the units place: \( ? - 3 = 4 \). This means \( ? = 7 \).
- In the tens place: \( 1 - 2 \). Borrow 1 from the next place (impossible here, so recheck setup). Assuming correct structure, the missing number is 7.
#### g)
```
7 ?
- 2 9
-----
4 8
```
- To find the missing number:
- In the units place: \( ? - 9 = 8 \). This means \( ? = 7 \).
- In the tens place: \( 7 - 2 = 5 \), but we need 4, so borrow 1: \( 6 - 2 = 4 \).
- The missing number is 7.
#### h)
```
1 7 7
- ? 7 2
-----
0 0 5
```
- To find the missing number:
- In the units place: \( 7 - 2 = 5 \), which matches.
- In the tens place: \( 7 - 7 = 0 \), which matches.
- In the hundreds place: \( 1 - ? = 0 \). This means \( ? = 1 \).
- The missing number is 1.
---
Section C: Word Problems
#### a) Football Cup Final Supporters
- Number of supporters for one team: 523
- Number of supporters for the other team: 459
- Difference in the number of supporters:
```
523
- 459
-----
64
```
- The difference is 64.
#### b) Ice Cream Sales
- Initial stock of ice cream: 862
- Remaining ice cream at the end of the day: 159
- Ice cream sold:
```
862
- 159
-----
703
```
- The number of ice creams sold is 703.
---
Final Answers
1. Section A:
- a) 187
- b) 691
- c) 179
- d) 88
- e) 399
- f) 492
- g) 476
- h) 564
2. Section B:
- a) 0
- b) 0
- c) 3
- d) 0
- e) 7
- f) 7
- g) 7
- h) 1
3. Section C:
- a) 64
- b) 703
---
Boxed Final Answer:
\[
\boxed{187, 691, 179, 88, 399, 492, 476, 564, 0, 0, 3, 0, 7, 7, 7, 1, 64, 703}
\]
---
Section A: Basic 3-Digit Subtraction
#### a) 967 - 780
```
967
- 780
-----
187
```
- Subtract digit by digit from right to left:
- \( 7 - 0 = 7 \)
- \( 6 - 8 \): Borrow 1 from the hundreds place (9 becomes 8), so \( 16 - 8 = 8 \)
- \( 8 - 7 = 1 \)
#### b) 907 - 216
```
907
- 216
-----
691
```
- Subtract digit by digit:
- \( 7 - 6 = 1 \)
- \( 0 - 1 \): Borrow 1 from the hundreds place (9 becomes 8), so \( 10 - 1 = 9 \)
- \( 8 - 2 = 6 \)
#### c) 565 - 386
```
565
- 386
-----
179
```
- Subtract digit by digit:
- \( 5 - 6 \): Borrow 1 from the tens place (6 becomes 5), so \( 15 - 6 = 9 \)
- \( 5 - 8 \): Borrow 1 from the hundreds place (5 becomes 4), so \( 15 - 8 = 7 \)
- \( 4 - 3 = 1 \)
#### d) 423 - 335
```
423
- 335
-----
88
```
- Subtract digit by digit:
- \( 3 - 5 \): Borrow 1 from the tens place (2 becomes 1), so \( 13 - 5 = 8 \)
- \( 1 - 3 \): Borrow 1 from the hundreds place (4 becomes 3), so \( 11 - 3 = 8 \)
- \( 3 - 3 = 0 \)
#### e) 525 - 126
```
525
- 126
-----
399
```
- Subtract digit by digit:
- \( 5 - 6 \): Borrow 1 from the tens place (2 becomes 1), so \( 15 - 6 = 9 \)
- \( 1 - 2 \): Borrow 1 from the hundreds place (5 becomes 4), so \( 11 - 2 = 9 \)
- \( 4 - 1 = 3 \)
#### f) 888 - 396
```
888
- 396
-----
492
```
- Subtract digit by digit:
- \( 8 - 6 = 2 \)
- \( 8 - 9 \): Borrow 1 from the hundreds place (8 becomes 7), so \( 18 - 9 = 9 \)
- \( 7 - 3 = 4 \)
#### g) 680 - 204
```
680
- 204
-----
476
```
- Subtract digit by digit:
- \( 0 - 4 \): Borrow 1 from the tens place (8 becomes 7), so \( 10 - 4 = 6 \)
- \( 7 - 0 = 7 \)
- \( 6 - 2 = 4 \)
#### h) 763 - 199
```
763
- 199
-----
564
```
- Subtract digit by digit:
- \( 3 - 9 \): Borrow 1 from the tens place (6 becomes 5), so \( 13 - 9 = 4 \)
- \( 5 - 9 \): Borrow 1 from the hundreds place (7 becomes 6), so \( 15 - 9 = 6 \)
- \( 6 - 1 = 5 \)
---
Section B: Missing Numbers in Subtraction
#### a)
```
2 9
- 1 ?
-----
1 9
```
- To find the missing number:
- In the units place: \( 9 - ? = 9 \). This means \( ? = 0 \).
- In the tens place: \( 2 - 1 = 1 \), which matches.
- The missing number is 0.
#### b)
```
7 0
- ? 7
-----
6 3
```
- To find the missing number:
- In the units place: \( 0 - 7 \). Borrow 1 from the tens place (7 becomes 6), so \( 10 - 7 = 3 \).
- In the tens place: \( 6 - ? = 6 \). This means \( ? = 0 \).
- The missing number is 0.
#### c)
```
9
- 5 ?
-----
3 6
```
- To find the missing number:
- In the units place: \( 9 - ? = 6 \). This means \( ? = 3 \).
- In the tens place: \( 0 - 5 \). Since there is no borrowing shown, the setup seems incomplete or incorrect based on the given format. However, if we assume the problem is correctly structured, the missing number is 3.
#### d)
```
5 8 3
- ? 8 8
-----
4 9 5
```
- To find the missing number:
- In the units place: \( 3 - 8 \). Borrow 1 from the tens place (8 becomes 7), so \( 13 - 8 = 5 \).
- In the tens place: \( 7 - 8 \). Borrow 1 from the hundreds place (5 becomes 4), so \( 17 - 8 = 9 \).
- In the hundreds place: \( 4 - ? = 4 \). This means \( ? = 0 \).
- The missing number is 0.
#### e)
```
3 ?
- 2 7
-----
1 0
```
- To find the missing number:
- In the units place: \( ? - 7 = 0 \). This means \( ? = 7 \).
- In the tens place: \( 3 - 2 = 1 \), which matches.
- The missing number is 7.
#### f)
```
1 ?
- 2 3
-----
0 4
```
- To find the missing number:
- In the units place: \( ? - 3 = 4 \). This means \( ? = 7 \).
- In the tens place: \( 1 - 2 \). Borrow 1 from the next place (impossible here, so recheck setup). Assuming correct structure, the missing number is 7.
#### g)
```
7 ?
- 2 9
-----
4 8
```
- To find the missing number:
- In the units place: \( ? - 9 = 8 \). This means \( ? = 7 \).
- In the tens place: \( 7 - 2 = 5 \), but we need 4, so borrow 1: \( 6 - 2 = 4 \).
- The missing number is 7.
#### h)
```
1 7 7
- ? 7 2
-----
0 0 5
```
- To find the missing number:
- In the units place: \( 7 - 2 = 5 \), which matches.
- In the tens place: \( 7 - 7 = 0 \), which matches.
- In the hundreds place: \( 1 - ? = 0 \). This means \( ? = 1 \).
- The missing number is 1.
---
Section C: Word Problems
#### a) Football Cup Final Supporters
- Number of supporters for one team: 523
- Number of supporters for the other team: 459
- Difference in the number of supporters:
```
523
- 459
-----
64
```
- The difference is 64.
#### b) Ice Cream Sales
- Initial stock of ice cream: 862
- Remaining ice cream at the end of the day: 159
- Ice cream sold:
```
862
- 159
-----
703
```
- The number of ice creams sold is 703.
---
Final Answers
1. Section A:
- a) 187
- b) 691
- c) 179
- d) 88
- e) 399
- f) 492
- g) 476
- h) 564
2. Section B:
- a) 0
- b) 0
- c) 3
- d) 0
- e) 7
- f) 7
- g) 7
- h) 1
3. Section C:
- a) 64
- b) 703
---
Boxed Final Answer:
\[
\boxed{187, 691, 179, 88, 399, 492, 476, 564, 0, 0, 3, 0, 7, 7, 7, 1, 64, 703}
\]
Parent Tip: Review the logic above to help your child master the concept of interactive 3 digit subtraction.