Grade 5 Division Worksheets | Free Printables | Math Worksheets - Free Printable
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Division Worksheets | Free Printables | Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Division Worksheets | Free Printables | Math Worksheets
Explanation:
We are doing short division (also called long division with a single-digit divisor), and we need to round the answer to 2 decimal places if necessary.
Let’s solve each problem one by one, carefully.
---
1. 638 ÷ 9
- 9 × 70 = 630 → remainder 8
- Bring down 0 (for decimals): 80 ÷ 9 = 8 (since 9×8=72), remainder 8
- Bring down another 0: 80 ÷ 9 = 8 again, remainder 8
So: 638 ÷ 9 = 70.888... → rounded to 2 decimal places = 70.89
Check: 9 × 70.89 = 638.01 — close enough (rounding error OK).
---
2. 495 ÷ 7
- 7 × 70 = 490 → remainder 5
- 50 ÷ 7 = 7 (7×7=49), remainder 1
- 10 ÷ 7 = 1 (7×1=7), remainder 3
- 30 ÷ 7 = 4 (7×4=28), remainder 2
So far: 70.714…
→ Rounded to 2 decimals: 70.71
Check: 7 × 70.71 = 494.97 — very close to 495.
---
3. 849 ÷ 7
- 7 × 121 = 847 → remainder 2
- 20 ÷ 7 = 2 (7×2=14), remainder 6
- 60 ÷ 7 = 8 (7×8=56), remainder 4
So: 121.2857… → rounded to 2 decimals = 121.29
Check: 7 × 121.29 = 849.03 — acceptable rounding.
---
4. 629 ÷ 8
- 8 × 78 = 624 → remainder 5
- 50 ÷ 8 = 6 (8×6=48), remainder 2
- 20 ÷ 8 = 2 (8×2=16), remainder 4
So: 78.625 → exactly 3 decimals → round to 2: 78.63
---
5. 997 ÷ 6
- 6 × 166 = 996 → remainder 1
- 10 ÷ 6 = 1 (6×1=6), remainder 4
- 40 ÷ 6 = 6 (6×6=36), remainder 4
So: 166.1666… → round to 2 decimals = 166.17
---
6. 758 ÷ 8
- 8 × 94 = 752 → remainder 6
- 60 ÷ 8 = 7 (8×7=56), remainder 4
- 40 ÷ 8 = 5 exactly
So: 94.75 → already 2 decimals → 94.75
---
7. 969 ÷ 6
- 6 × 161 = 966 → remainder 3
- 30 ÷ 6 = 5 exactly
So: 161.5 → only 1 decimal, but we can write as 161.50 (to show 2 decimal places)
But the instruction says “Round to 2 decimal places where necessary.” Since 161.5 is exact, adding a zero is fine — standard is to write 161.50.
However, many teachers accept 161.5, but since it says *round to 2 decimal places where necessary*, and 161.5 has only 1, we should express as 161.50.
Let’s confirm: 6 × 161.5 = 969 ✔
So final: 161.50
---
8. 476 ÷ 9
- 9 × 52 = 468 → remainder 8
- 80 ÷ 9 = 8 (72), remainder 8
- 80 ÷ 9 = 8 again
So: 52.888… → round to 2 decimals = 52.89
---
9. 827 ÷ 7
- 7 × 118 = 826 → remainder 1
- 10 ÷ 7 = 1 (7), remainder 3
- 30 ÷ 7 = 4 (28), remainder 2
So: 118.142857… → round to 2 decimals = 118.14
Check: 7 × 118.14 = 826.98 — close.
---
10. 588 ÷ 8
- 8 × 73 = 584 → remainder 4
- 40 ÷ 8 = 5 exactly
So: 73.5 → write as 73.50
---
11. 937 ÷ 6
- 6 × 156 = 936 → remainder 1
- 10 ÷ 6 = 1 (6), remainder 4
- 40 ÷ 6 = 6 (36), remainder 4
So: 156.1666… → round to 2 decimals = 156.17
---
12. 794 ÷ 6
- 6 × 132 = 792 → remainder 2
- 20 ÷ 6 = 3 (18), remainder 2
- 20 ÷ 6 = 3 again
So: 132.333… → round to 2 decimals = 132.33
Now let’s list all answers clearly:
1. 70.89
2. 70.71
3. 121.29
4. 78.63
5. 166.17
6. 94.75
7. 161.50
8. 52.89
9. 118.14
10. 73.50
11. 156.17
12. 132.33
Double-check a few more for accuracy:
- #7: 969 ÷ 6 = 161.5 → yes, so 161.50 ✔
- #10: 588 ÷ 8 = 73.5 → 73.50 ✔
- #6: 758 ÷ 8 = 94.75 ✔
- #12: 794 ÷ 6 = 132.333… → 132.33 ✔
All good.
Final Answer:
1. 70.89
2. 70.71
3. 121.29
4. 78.63
5. 166.17
6. 94.75
7. 161.50
8. 52.89
9. 118.14
10. 73.50
11. 156.17
12. 132.33
We are doing short division (also called long division with a single-digit divisor), and we need to round the answer to 2 decimal places if necessary.
Let’s solve each problem one by one, carefully.
---
1. 638 ÷ 9
- 9 × 70 = 630 → remainder 8
- Bring down 0 (for decimals): 80 ÷ 9 = 8 (since 9×8=72), remainder 8
- Bring down another 0: 80 ÷ 9 = 8 again, remainder 8
So: 638 ÷ 9 = 70.888... → rounded to 2 decimal places = 70.89
Check: 9 × 70.89 = 638.01 — close enough (rounding error OK).
---
2. 495 ÷ 7
- 7 × 70 = 490 → remainder 5
- 50 ÷ 7 = 7 (7×7=49), remainder 1
- 10 ÷ 7 = 1 (7×1=7), remainder 3
- 30 ÷ 7 = 4 (7×4=28), remainder 2
So far: 70.714…
→ Rounded to 2 decimals: 70.71
Check: 7 × 70.71 = 494.97 — very close to 495.
---
3. 849 ÷ 7
- 7 × 121 = 847 → remainder 2
- 20 ÷ 7 = 2 (7×2=14), remainder 6
- 60 ÷ 7 = 8 (7×8=56), remainder 4
So: 121.2857… → rounded to 2 decimals = 121.29
Check: 7 × 121.29 = 849.03 — acceptable rounding.
---
4. 629 ÷ 8
- 8 × 78 = 624 → remainder 5
- 50 ÷ 8 = 6 (8×6=48), remainder 2
- 20 ÷ 8 = 2 (8×2=16), remainder 4
So: 78.625 → exactly 3 decimals → round to 2: 78.63
---
5. 997 ÷ 6
- 6 × 166 = 996 → remainder 1
- 10 ÷ 6 = 1 (6×1=6), remainder 4
- 40 ÷ 6 = 6 (6×6=36), remainder 4
So: 166.1666… → round to 2 decimals = 166.17
---
6. 758 ÷ 8
- 8 × 94 = 752 → remainder 6
- 60 ÷ 8 = 7 (8×7=56), remainder 4
- 40 ÷ 8 = 5 exactly
So: 94.75 → already 2 decimals → 94.75
---
7. 969 ÷ 6
- 6 × 161 = 966 → remainder 3
- 30 ÷ 6 = 5 exactly
So: 161.5 → only 1 decimal, but we can write as 161.50 (to show 2 decimal places)
But the instruction says “Round to 2 decimal places where necessary.” Since 161.5 is exact, adding a zero is fine — standard is to write 161.50.
However, many teachers accept 161.5, but since it says *round to 2 decimal places where necessary*, and 161.5 has only 1, we should express as 161.50.
Let’s confirm: 6 × 161.5 = 969 ✔
So final: 161.50
---
8. 476 ÷ 9
- 9 × 52 = 468 → remainder 8
- 80 ÷ 9 = 8 (72), remainder 8
- 80 ÷ 9 = 8 again
So: 52.888… → round to 2 decimals = 52.89
---
9. 827 ÷ 7
- 7 × 118 = 826 → remainder 1
- 10 ÷ 7 = 1 (7), remainder 3
- 30 ÷ 7 = 4 (28), remainder 2
So: 118.142857… → round to 2 decimals = 118.14
Check: 7 × 118.14 = 826.98 — close.
---
10. 588 ÷ 8
- 8 × 73 = 584 → remainder 4
- 40 ÷ 8 = 5 exactly
So: 73.5 → write as 73.50
---
11. 937 ÷ 6
- 6 × 156 = 936 → remainder 1
- 10 ÷ 6 = 1 (6), remainder 4
- 40 ÷ 6 = 6 (36), remainder 4
So: 156.1666… → round to 2 decimals = 156.17
---
12. 794 ÷ 6
- 6 × 132 = 792 → remainder 2
- 20 ÷ 6 = 3 (18), remainder 2
- 20 ÷ 6 = 3 again
So: 132.333… → round to 2 decimals = 132.33
Now let’s list all answers clearly:
1. 70.89
2. 70.71
3. 121.29
4. 78.63
5. 166.17
6. 94.75
7. 161.50
8. 52.89
9. 118.14
10. 73.50
11. 156.17
12. 132.33
Double-check a few more for accuracy:
- #7: 969 ÷ 6 = 161.5 → yes, so 161.50 ✔
- #10: 588 ÷ 8 = 73.5 → 73.50 ✔
- #6: 758 ÷ 8 = 94.75 ✔
- #12: 794 ÷ 6 = 132.333… → 132.33 ✔
All good.
Final Answer:
1. 70.89
2. 70.71
3. 121.29
4. 78.63
5. 166.17
6. 94.75
7. 161.50
8. 52.89
9. 118.14
10. 73.50
11. 156.17
12. 132.33
Parent Tip: Review the logic above to help your child master the concept of division practice worksheet 5th grade.
