Subtracting Across Zero Worksheet Download - Free Printable
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Step-by-step solution for: Subtracting Across Zero Worksheet Download
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Step-by-step solution for: Subtracting Across Zero Worksheet Download
Let's solve each of these subtraction problems step by step. These are decimal subtraction problems involving subtracting across zero, which means we need to be careful with regrouping (borrowing) when zeros are involved.
We'll go through each problem carefully, showing the steps where necessary.
---
```
80.002
- 43.686
--------
```
Start from the right:
- 2 - 6 → can't do, borrow.
- But we have zeros, so we need to borrow all the way from the 8 in 80.
Break it down:
- 80.002 = 79 + 1.002
- 1.002 - 0.686 = 0.316
- Then 79 - 43 = 36
- So total: 36 + 0.316 = 36.316
✔ Answer: 36.316
---
```
50.001
- 40.152
--------
```
- 1 - 2 → borrow needed
- 0s in middle → borrow from 5
Think: 50.001 = 49 + 1.001
1.001 - 0.152 = 0.849
49 - 40 = 9
→ 9 + 0.849 = 9.849
✔ Answer: 9.849
---
```
80.003
- 26.807
--------
```
- 3 - 7 → borrow
- Zeros → borrow from 8
So: 80.003 = 79 + 1.003
1.003 - 0.807 = 0.196
79 - 26 = 53
→ 53 + 0.196 = 53.196
✔ Answer: 53.196
---
```
50.004
- 13.174
--------
```
- 4 - 4 = 0
- 0 - 7 → borrow → 10 - 7 = 3, but previous digit was 0 → must borrow further
Better: 50.004 = 49 + 1.004
1.004 - 0.174 = 0.830
49 - 13 = 36
→ 36 + 0.830 = 36.830
✔ Answer: 36.830
---
```
80.006
- 11.177
--------
```
80.006 = 79 + 1.006
1.006 - 0.177 = 0.829
79 - 11 = 68
→ 68 + 0.829 = 68.829
✔ Answer: 68.829
---
50.009 = 49 + 1.009
1.009 - 0.388 = 0.621
49 - 21 = 28
→ 28 + 0.621 = 28.621
✔ Answer: 28.621
---
60.005 = 59 + 1.005
1.005 - 0.066 = 0.939
59 - 31 = 28
→ 28 + 0.939 = 28.939
✔ Answer: 28.939
---
30.009 = 29 + 1.009
1.009 - 0.316 = 0.693
29 - 8 = 21
→ 21 + 0.693 = 21.693
✔ Answer: 21.693
---
40.005 = 39 + 1.005
1.005 - 0.387 = 0.618
39 - 5 = 34
→ 34 + 0.618 = 34.618
✔ Answer: 34.618
---
10.002 = 9 + 1.002
1.002 - 0.968 = 0.034
9 - 3 = 6
→ 6 + 0.034 = 6.034
✔ Answer: 6.034
---
50.005 = 49 + 1.005
1.005 - 0.273 = 0.732
49 - 21 = 28
→ 28 + 0.732 = 28.732
✔ Answer: 28.732
---
90.008 = 89 + 1.008
1.008 - 0.349 = 0.659
89 - 64 = 25
→ 25 + 0.659 = 25.659
✔ Answer: 25.659
---
70.001 = 69 + 1.001
1.001 - 0.539 = 0.462
69 - 10 = 59
→ 59 + 0.462 = 59.462
✔ Answer: 59.462
---
40.002 = 39 + 1.002
1.002 - 0.150 = 0.852
39 - 24 = 15
→ 15 + 0.852 = 15.852
✔ Answer: 15.852
---
90.009 = 89 + 1.009
1.009 - 0.149 = 0.860
89 - 6 = 83
→ 83 + 0.860 = 83.860
✔ Answer: 83.860
---
90.009 = 89 + 1.009
1.009 - 0.981 = 0.028
89 - 25 = 64
→ 64 + 0.028 = 64.028
✔ Answer: 64.028
---
10.007 = 9 + 1.007
1.007 - 0.110 = 0.897
9 - 6 = 3
→ 3 + 0.897 = 3.897
✔ Answer: 3.897
---
90.006 = 89 + 1.006
1.006 - 0.941 = 0.065
89 - 24 = 65
→ 65 + 0.065 = 65.065
✔ Answer: 65.065
---
90.006 = 89 + 1.006
1.006 - 0.233 = 0.773
89 - 13 = 76
→ 76 + 0.773 = 76.773
✔ Answer: 76.773
---
90.002 = 89 + 1.002
1.002 - 0.555 = 0.447
89 - 37 = 52
→ 52 + 0.447 = 52.447
✔ Answer: 52.447
---
## ✔ Final Answers:
| Problem | Answer |
|--------|--------------|
| 1 | 36.316 |
| 2 | 9.849 |
| 3 | 53.196 |
| 4 | 36.830 |
| 5 | 68.829 |
| 6 | 28.621 |
| 7 | 28.939 |
| 8 | 21.693 |
| 9 | 34.618 |
| 10 | 6.034 |
| 11 | 28.732 |
| 12 | 25.659 |
| 13 | 59.462 |
| 14 | 15.852 |
| 15 | 83.860 |
| 16 | 64.028 |
| 17 | 3.897 |
| 18 | 65.065 |
| 19 | 76.773 |
| 20 | 52.447 |
---
When subtracting decimals and you encounter a zero (e.g., in 80.002), you can't borrow directly from zero. So:
- You must borrow from the next non-zero digit (like the 8 in 80).
- This turns the number into something like 79 + 1.002, making subtraction easier.
This method avoids confusion and ensures correct regrouping.
Let me know if you'd like this formatted as a printable answer sheet!
We'll go through each problem carefully, showing the steps where necessary.
---
1) 80.002 - 43.686
```
80.002
- 43.686
--------
```
Start from the right:
- 2 - 6 → can't do, borrow.
- But we have zeros, so we need to borrow all the way from the 8 in 80.
Break it down:
- 80.002 = 79 + 1.002
- 1.002 - 0.686 = 0.316
- Then 79 - 43 = 36
- So total: 36 + 0.316 = 36.316
✔ Answer: 36.316
---
2) 50.001 - 40.152
```
50.001
- 40.152
--------
```
- 1 - 2 → borrow needed
- 0s in middle → borrow from 5
Think: 50.001 = 49 + 1.001
1.001 - 0.152 = 0.849
49 - 40 = 9
→ 9 + 0.849 = 9.849
✔ Answer: 9.849
---
3) 80.003 - 26.807
```
80.003
- 26.807
--------
```
- 3 - 7 → borrow
- Zeros → borrow from 8
So: 80.003 = 79 + 1.003
1.003 - 0.807 = 0.196
79 - 26 = 53
→ 53 + 0.196 = 53.196
✔ Answer: 53.196
---
4) 50.004 - 13.174
```
50.004
- 13.174
--------
```
- 4 - 4 = 0
- 0 - 7 → borrow → 10 - 7 = 3, but previous digit was 0 → must borrow further
Better: 50.004 = 49 + 1.004
1.004 - 0.174 = 0.830
49 - 13 = 36
→ 36 + 0.830 = 36.830
✔ Answer: 36.830
---
5) 80.006 - 11.177
```
80.006
- 11.177
--------
```
80.006 = 79 + 1.006
1.006 - 0.177 = 0.829
79 - 11 = 68
→ 68 + 0.829 = 68.829
✔ Answer: 68.829
---
6) 50.009 - 21.388
50.009 = 49 + 1.009
1.009 - 0.388 = 0.621
49 - 21 = 28
→ 28 + 0.621 = 28.621
✔ Answer: 28.621
---
7) 60.005 - 31.066
60.005 = 59 + 1.005
1.005 - 0.066 = 0.939
59 - 31 = 28
→ 28 + 0.939 = 28.939
✔ Answer: 28.939
---
8) 30.009 - 8.316
30.009 = 29 + 1.009
1.009 - 0.316 = 0.693
29 - 8 = 21
→ 21 + 0.693 = 21.693
✔ Answer: 21.693
---
9) 40.005 - 5.387
40.005 = 39 + 1.005
1.005 - 0.387 = 0.618
39 - 5 = 34
→ 34 + 0.618 = 34.618
✔ Answer: 34.618
---
10) 10.002 - 3.968
10.002 = 9 + 1.002
1.002 - 0.968 = 0.034
9 - 3 = 6
→ 6 + 0.034 = 6.034
✔ Answer: 6.034
---
11) 50.005 - 21.273
50.005 = 49 + 1.005
1.005 - 0.273 = 0.732
49 - 21 = 28
→ 28 + 0.732 = 28.732
✔ Answer: 28.732
---
12) 90.008 - 64.349
90.008 = 89 + 1.008
1.008 - 0.349 = 0.659
89 - 64 = 25
→ 25 + 0.659 = 25.659
✔ Answer: 25.659
---
13) 70.001 - 10.539
70.001 = 69 + 1.001
1.001 - 0.539 = 0.462
69 - 10 = 59
→ 59 + 0.462 = 59.462
✔ Answer: 59.462
---
14) 40.002 - 24.150
40.002 = 39 + 1.002
1.002 - 0.150 = 0.852
39 - 24 = 15
→ 15 + 0.852 = 15.852
✔ Answer: 15.852
---
15) 90.009 - 6.149
90.009 = 89 + 1.009
1.009 - 0.149 = 0.860
89 - 6 = 83
→ 83 + 0.860 = 83.860
✔ Answer: 83.860
---
16) 90.009 - 25.981
90.009 = 89 + 1.009
1.009 - 0.981 = 0.028
89 - 25 = 64
→ 64 + 0.028 = 64.028
✔ Answer: 64.028
---
17) 10.007 - 6.110
10.007 = 9 + 1.007
1.007 - 0.110 = 0.897
9 - 6 = 3
→ 3 + 0.897 = 3.897
✔ Answer: 3.897
---
18) 90.006 - 24.941
90.006 = 89 + 1.006
1.006 - 0.941 = 0.065
89 - 24 = 65
→ 65 + 0.065 = 65.065
✔ Answer: 65.065
---
19) 90.006 - 13.233
90.006 = 89 + 1.006
1.006 - 0.233 = 0.773
89 - 13 = 76
→ 76 + 0.773 = 76.773
✔ Answer: 76.773
---
20) 90.002 - 37.555
90.002 = 89 + 1.002
1.002 - 0.555 = 0.447
89 - 37 = 52
→ 52 + 0.447 = 52.447
✔ Answer: 52.447
---
## ✔ Final Answers:
| Problem | Answer |
|--------|--------------|
| 1 | 36.316 |
| 2 | 9.849 |
| 3 | 53.196 |
| 4 | 36.830 |
| 5 | 68.829 |
| 6 | 28.621 |
| 7 | 28.939 |
| 8 | 21.693 |
| 9 | 34.618 |
| 10 | 6.034 |
| 11 | 28.732 |
| 12 | 25.659 |
| 13 | 59.462 |
| 14 | 15.852 |
| 15 | 83.860 |
| 16 | 64.028 |
| 17 | 3.897 |
| 18 | 65.065 |
| 19 | 76.773 |
| 20 | 52.447 |
---
🔍 Key Concept: Subtracting Across Zero
When subtracting decimals and you encounter a zero (e.g., in 80.002), you can't borrow directly from zero. So:
- You must borrow from the next non-zero digit (like the 8 in 80).
- This turns the number into something like 79 + 1.002, making subtraction easier.
This method avoids confusion and ensures correct regrouping.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of subtract across zero worksheet.
