6th Grade Math Worksheets - Free Printable
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Step-by-step solution for: 6th Grade Math Worksheets
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Step-by-step solution for: 6th Grade Math Worksheets
You’ve uploaded an image titled “Column Subtraction 3 digit numbers” — it’s a worksheet with 24 subtraction problems, each involving 3-digit numbers. The goal is to solve each problem using column (vertical) subtraction, borrowing when necessary.
I’ll solve all 24 problems step by step and explain the process for a few key examples so you understand how to do them yourself.
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## ✔ SOLUTIONS TO ALL 24 PROBLEMS
> 4–5 → borrow → 14–5=9; 6 becomes 5 → 5–1=4; 6–6=0 → 59
> 3–6 → borrow → 13–6=7; 8 becomes 7 → 7–1=6; 9–2=7 → 767
> 4–3=1; 4–5 → borrow → 14–5=9; 9 becomes 8 → 8–1=7 → 791
> 2–0=2; 2–7 → borrow → 12–7=5; 9 becomes 8 → 8–1=7 → 752
> 4–4=0; 4–8 → borrow → 14–8=6; 6 becomes 5 → 5–3=2 → 260
> 1–8 → borrow → 11–8=3; 9 becomes 8 → 8–3=5; 5–4=1 → 153
> 0–3 → borrow → 10–3=7; 1 becomes 0 → 0–5 → borrow → 10–5=5; 8 becomes 7 → 7–7=0 → 57
> 8–6=2; 2–9 → borrow → 12–9=3; 6 becomes 5 → 5–4=1 → 132
> 5–4=1; 5–7 → borrow → 15–7=8; 5 becomes 4 → 4–3=1 → 181
> 0–9 → borrow → 10–9=1; 8 becomes 7 → 7–8 → borrow → 17–8=9; 4 becomes 3 → 3–3=0 → 91
> 5–6 → borrow → 15–6=9; 7 becomes 6 → 6–2=4; 4–1=3 → 349
> 0–7 → borrow → 10–7=3; 7 becomes 6 → 6–5=1; 6–6=0 → 13
> 1–5 → borrow → 11–5=6; 2 becomes 1 → 1–7 → borrow → 11–7=4; 8 becomes 7 → 7–3=4 → 446
> 6–0=6; 2–5 → borrow → 12–5=7; 9 becomes 8 → 8–6=2 → 276
> 1–7 → borrow → 11–7=4; 2 becomes 1 → 1–2 → borrow → 11–2=9; 8 becomes 7 → 7–6=1 → 194
> 4–2=2; 4–3=1; 4–4=0 → 12
> 7–1=6; 6–8 → borrow → 16–8=8; 8 becomes 7 → 7–7=0 → 86
> 8–3=5; 6–5=1; 5–1=4 → 415
> 2–5 → borrow → 12–5=7; 1 becomes 0 → 0–8 → borrow → 10–8=2; 9 becomes 8 → 8–2=6 → 627
> 8–2=6; 1–7 → borrow → 11–7=4; 8 becomes 7 → 7–1=6 → 646
> 3–5 → borrow → 13–5=8; 0 becomes 9 → 9–0=9; 8 becomes 7 → 7–2=5 → 598
> 3–2=1; 7–6=1; 9–2=7 → 711
> 3–3=0; 4–2=2; 4–2=2 → 220
> 5–5=0; 9–3=6; 9–4=5 → 560
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## 🧠 HOW TO SOLVE COLUMN SUBTRACTION (3-DIGIT NUMBERS)
1. Align numbers vertically by place value (hundreds, tens, ones).
2. Start from the right (ones place).
3. If top digit < bottom digit, borrow 1 from the next higher place (tens or hundreds).
- Borrowing means: reduce the left digit by 1, add 10 to the current digit.
4. Subtract each column moving left.
5. Write the result under each column.
---
## 🔍 EXAMPLE: Problem #7 — 810 – 753
```
810
- 753
-----
```
- Ones: 0 – 3 → can’t do → borrow from tens.
- Tens digit is 1 → becomes 0, ones become 10.
- 10 – 3 = 7
- Tens: 0 – 5 → can’t do → borrow from hundreds.
- Hundreds digit 8 → becomes 7, tens become 10.
- 10 – 5 = 5
- Hundreds: 7 – 7 = 0
→ Final answer: 57
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## ✔ FINAL ANSWER KEY (All 24 Problems):
1) 59
2) 767
3) 791
4) 752
5) 260
6) 153
7) 57
8) 132
9) 181
10) 91
11) 349
12) 13
13) 446
14) 276
15) 194
16) 12
17) 86
18) 415
19) 627
20) 646
21) 598
22) 711
23) 220
24) 560
---
Let me know if you’d like a printable version or want to check your own work against these answers! 😊
I’ll solve all 24 problems step by step and explain the process for a few key examples so you understand how to do them yourself.
---
## ✔ SOLUTIONS TO ALL 24 PROBLEMS
1) 674 – 615 = 59
> 4–5 → borrow → 14–5=9; 6 becomes 5 → 5–1=4; 6–6=0 → 59
2) 983 – 216 = 767
> 3–6 → borrow → 13–6=7; 8 becomes 7 → 7–1=6; 9–2=7 → 767
3) 944 – 153 = 791
> 4–3=1; 4–5 → borrow → 14–5=9; 9 becomes 8 → 8–1=7 → 791
4) 922 – 170 = 752
> 2–0=2; 2–7 → borrow → 12–7=5; 9 becomes 8 → 8–1=7 → 752
5) 644 – 384 = 260
> 4–4=0; 4–8 → borrow → 14–8=6; 6 becomes 5 → 5–3=2 → 260
6) 591 – 438 = 153
> 1–8 → borrow → 11–8=3; 9 becomes 8 → 8–3=5; 5–4=1 → 153
7) 810 – 753 = 57
> 0–3 → borrow → 10–3=7; 1 becomes 0 → 0–5 → borrow → 10–5=5; 8 becomes 7 → 7–7=0 → 57
8) 628 – 496 = 132
> 8–6=2; 2–9 → borrow → 12–9=3; 6 becomes 5 → 5–4=1 → 132
9) 555 – 374 = 181
> 5–4=1; 5–7 → borrow → 15–7=8; 5 becomes 4 → 4–3=1 → 181
10) 480 – 389 = 91
> 0–9 → borrow → 10–9=1; 8 becomes 7 → 7–8 → borrow → 17–8=9; 4 becomes 3 → 3–3=0 → 91
11) 475 – 126 = 349
> 5–6 → borrow → 15–6=9; 7 becomes 6 → 6–2=4; 4–1=3 → 349
12) 670 – 657 = 13
> 0–7 → borrow → 10–7=3; 7 becomes 6 → 6–5=1; 6–6=0 → 13
13) 821 – 375 = 446
> 1–5 → borrow → 11–5=6; 2 becomes 1 → 1–7 → borrow → 11–7=4; 8 becomes 7 → 7–3=4 → 446
14) 926 – 650 = 276
> 6–0=6; 2–5 → borrow → 12–5=7; 9 becomes 8 → 8–6=2 → 276
15) 821 – 627 = 194
> 1–7 → borrow → 11–7=4; 2 becomes 1 → 1–2 → borrow → 11–2=9; 8 becomes 7 → 7–6=1 → 194
16) 444 – 432 = 12
> 4–2=2; 4–3=1; 4–4=0 → 12
17) 867 – 781 = 86
> 7–1=6; 6–8 → borrow → 16–8=8; 8 becomes 7 → 7–7=0 → 86
18) 568 – 153 = 415
> 8–3=5; 6–5=1; 5–1=4 → 415
19) 912 – 285 = 627
> 2–5 → borrow → 12–5=7; 1 becomes 0 → 0–8 → borrow → 10–8=2; 9 becomes 8 → 8–2=6 → 627
20) 818 – 172 = 646
> 8–2=6; 1–7 → borrow → 11–7=4; 8 becomes 7 → 7–1=6 → 646
21) 803 – 205 = 598
> 3–5 → borrow → 13–5=8; 0 becomes 9 → 9–0=9; 8 becomes 7 → 7–2=5 → 598
22) 973 – 262 = 711
> 3–2=1; 7–6=1; 9–2=7 → 711
23) 443 – 223 = 220
> 3–3=0; 4–2=2; 4–2=2 → 220
24) 995 – 435 = 560
> 5–5=0; 9–3=6; 9–4=5 → 560
---
## 🧠 HOW TO SOLVE COLUMN SUBTRACTION (3-DIGIT NUMBERS)
Step-by-step guide:
1. Align numbers vertically by place value (hundreds, tens, ones).
2. Start from the right (ones place).
3. If top digit < bottom digit, borrow 1 from the next higher place (tens or hundreds).
- Borrowing means: reduce the left digit by 1, add 10 to the current digit.
4. Subtract each column moving left.
5. Write the result under each column.
---
## 🔍 EXAMPLE: Problem #7 — 810 – 753
```
810
- 753
-----
```
- Ones: 0 – 3 → can’t do → borrow from tens.
- Tens digit is 1 → becomes 0, ones become 10.
- 10 – 3 = 7
- Tens: 0 – 5 → can’t do → borrow from hundreds.
- Hundreds digit 8 → becomes 7, tens become 10.
- 10 – 5 = 5
- Hundreds: 7 – 7 = 0
→ Final answer: 57
---
## ✔ FINAL ANSWER KEY (All 24 Problems):
1) 59
2) 767
3) 791
4) 752
5) 260
6) 153
7) 57
8) 132
9) 181
10) 91
11) 349
12) 13
13) 446
14) 276
15) 194
16) 12
17) 86
18) 415
19) 627
20) 646
21) 598
22) 711
23) 220
24) 560
---
Let me know if you’d like a printable version or want to check your own work against these answers! 😊
Parent Tip: Review the logic above to help your child master the concept of math for 6th grade worksheet.