Mixed Rounding: Round Numbers to the Underlined Digit worksheet ... - Free Printable
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Step-by-step solution for: Mixed Rounding: Round Numbers to the Underlined Digit worksheet ...
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Show Answer Key & Explanations
Step-by-step solution for: Mixed Rounding: Round Numbers to the Underlined Digit worksheet ...
Let's solve this Grade 4 Rounding Worksheet step by step.
The task is to round each number to the nearest value of the underlined digit. That means we need to identify which digit is underlined, determine its place value (like hundreds, thousands, etc.), and then round the number accordingly.
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- Look at the digit to the right of the underlined digit.
- If it’s 5 or greater, round up.
- If it’s less than 5, round down.
- Replace all digits to the right with zeros (or remove if decimal).
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We’ll go through each problem one by one:
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1. 56,914 → underlined digit is 6 (in the thousands place)
→ Round to nearest 1,000
Look at the hundreds digit: 9 → ≥ 5 → round up
56,914 → 57,000
2. 77,453 → underlined digit is 4 (hundreds place)
→ Round to nearest 100
Look at tens digit: 5 → ≥ 5 → round up
77,453 → 77,500
3. 63,678 → underlined digit is 3 (ten-thousands place?) Wait — let's check:
Number: 63,678 → digits: 6 (ten-thousands), 3 (thousands), 6 (hundreds), 7 (tens), 8 (ones)
So 3 is in thousands place → round to nearest 1,000
Look at hundreds digit: 6 → ≥ 5 → round up
63,678 → 64,000
4. 19,113 → underlined digit is 1 (in the thousands place)
→ Round to nearest 1,000
Look at hundreds digit: 1 → < 5 → round down
19,113 → 19,000
5. 15,003 → underlined digit is 5 (in thousands place)
→ Round to nearest 1,000
Look at hundreds digit: 0 → < 5 → round down
15,003 → 15,000
6. 33,575 → underlined digit is 5 (hundreds place)
→ Round to nearest 100
Look at tens digit: 7 → ≥ 5 → round up
33,575 → 33,600
7. 33,446 → underlined digit is 4 (hundreds place)
→ Round to nearest 100
Look at tens digit: 4 → < 5 → round down
33,446 → 33,400
8. 84,822 → underlined digit is 8 (thousands place)
→ Round to nearest 1,000
Look at hundreds digit: 8 → ≥ 5 → round up
84,822 → 85,000
9. 95,150 → underlined digit is 5 (ten-thousands place? No: 9 (ten-thousands), 5 (thousands))
→ So 5 is in thousands place → round to nearest 1,000
Look at hundreds digit: 1 → < 5 → round down
95,150 → 95,000
10. 49,332 → underlined digit is 9 (thousands place)
→ Round to nearest 1,000
Look at hundreds digit: 3 → < 5 → round down
49,332 → 49,000
11. 3,655 → underlined digit is 6 (hundreds place)
→ Round to nearest 100
Look at tens digit: 5 → ≥ 5 → round up
3,655 → 3,700
12. 97,722 → underlined digit is 7 (hundreds place)
→ Round to nearest 100
Look at tens digit: 2 → < 5 → round down
97,722 → 97,700
13. 59,899 → underlined digit is 8 (hundreds place)
→ Round to nearest 100
Look at tens digit: 9 → ≥ 5 → round up
59,899 → 59,900
14. 32,420 → underlined digit is 4 (hundreds place)
→ Round to nearest 100
Look at tens digit: 2 → < 5 → round down
32,420 → 32,400
15. 20,151 → underlined digit is 1 (hundreds place)
→ Round to nearest 100
Look at tens digit: 5 → ≥ 5 → round up
20,151 → 20,200
16. 21,391 → underlined digit is 3 (hundreds place)
→ Round to nearest 100
Look at tens digit: 9 → ≥ 5 → round up
21,391 → 21,400
17. 75,705 → underlined digit is 7 (hundreds place)
→ Round to nearest 100
Look at tens digit: 0 → < 5 → round down
75,705 → 75,700
18. 57,311 → underlined digit is 3 (hundreds place)
→ Round to nearest 100
Look at tens digit: 1 → < 5 → round down
57,311 → 57,300
19. 67,195 → underlined digit is 7 (thousands place)
→ Round to nearest 1,000
Look at hundreds digit: 1 → < 5 → round down
67,195 → 67,000
20. 77,303 → underlined digit is 3 (hundreds place)
→ Round to nearest 100
Look at tens digit: 0 → < 5 → round down
77,303 → 77,300
21. 90,205 → underlined digit is 2 (hundreds place)
→ Round to nearest 100
Look at tens digit: 0 → < 5 → round down
90,205 → 90,200
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1. 57,000
2. 77,500
3. 64,000
4. 19,000
5. 15,000
6. 33,600
7. 33,400
8. 85,000
9. 95,000
10. 49,000
11. 3,700
12. 97,700
13. 59,900
14. 32,400
15. 20,200
16. 21,400
17. 75,700
18. 57,300
19. 67,000
20. 77,300
21. 90,200
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✔ Explanation Summary:
For each number, we identified the place value of the underlined digit (e.g., thousands, hundreds), then applied the rounding rule based on the digit to its right. This ensures accuracy according to the required level of precision.
Let me know if you'd like this formatted as a printable answer sheet!
The task is to round each number to the nearest value of the underlined digit. That means we need to identify which digit is underlined, determine its place value (like hundreds, thousands, etc.), and then round the number accordingly.
---
🔎 Rounding Rule Reminder:
- Look at the digit to the right of the underlined digit.
- If it’s 5 or greater, round up.
- If it’s less than 5, round down.
- Replace all digits to the right with zeros (or remove if decimal).
---
We’ll go through each problem one by one:
---
1. 56,914 → underlined digit is 6 (in the thousands place)
→ Round to nearest 1,000
Look at the hundreds digit: 9 → ≥ 5 → round up
56,914 → 57,000
2. 77,453 → underlined digit is 4 (hundreds place)
→ Round to nearest 100
Look at tens digit: 5 → ≥ 5 → round up
77,453 → 77,500
3. 63,678 → underlined digit is 3 (ten-thousands place?) Wait — let's check:
Number: 63,678 → digits: 6 (ten-thousands), 3 (thousands), 6 (hundreds), 7 (tens), 8 (ones)
So 3 is in thousands place → round to nearest 1,000
Look at hundreds digit: 6 → ≥ 5 → round up
63,678 → 64,000
4. 19,113 → underlined digit is 1 (in the thousands place)
→ Round to nearest 1,000
Look at hundreds digit: 1 → < 5 → round down
19,113 → 19,000
5. 15,003 → underlined digit is 5 (in thousands place)
→ Round to nearest 1,000
Look at hundreds digit: 0 → < 5 → round down
15,003 → 15,000
6. 33,575 → underlined digit is 5 (hundreds place)
→ Round to nearest 100
Look at tens digit: 7 → ≥ 5 → round up
33,575 → 33,600
7. 33,446 → underlined digit is 4 (hundreds place)
→ Round to nearest 100
Look at tens digit: 4 → < 5 → round down
33,446 → 33,400
8. 84,822 → underlined digit is 8 (thousands place)
→ Round to nearest 1,000
Look at hundreds digit: 8 → ≥ 5 → round up
84,822 → 85,000
9. 95,150 → underlined digit is 5 (ten-thousands place? No: 9 (ten-thousands), 5 (thousands))
→ So 5 is in thousands place → round to nearest 1,000
Look at hundreds digit: 1 → < 5 → round down
95,150 → 95,000
10. 49,332 → underlined digit is 9 (thousands place)
→ Round to nearest 1,000
Look at hundreds digit: 3 → < 5 → round down
49,332 → 49,000
11. 3,655 → underlined digit is 6 (hundreds place)
→ Round to nearest 100
Look at tens digit: 5 → ≥ 5 → round up
3,655 → 3,700
12. 97,722 → underlined digit is 7 (hundreds place)
→ Round to nearest 100
Look at tens digit: 2 → < 5 → round down
97,722 → 97,700
13. 59,899 → underlined digit is 8 (hundreds place)
→ Round to nearest 100
Look at tens digit: 9 → ≥ 5 → round up
59,899 → 59,900
14. 32,420 → underlined digit is 4 (hundreds place)
→ Round to nearest 100
Look at tens digit: 2 → < 5 → round down
32,420 → 32,400
15. 20,151 → underlined digit is 1 (hundreds place)
→ Round to nearest 100
Look at tens digit: 5 → ≥ 5 → round up
20,151 → 20,200
16. 21,391 → underlined digit is 3 (hundreds place)
→ Round to nearest 100
Look at tens digit: 9 → ≥ 5 → round up
21,391 → 21,400
17. 75,705 → underlined digit is 7 (hundreds place)
→ Round to nearest 100
Look at tens digit: 0 → < 5 → round down
75,705 → 75,700
18. 57,311 → underlined digit is 3 (hundreds place)
→ Round to nearest 100
Look at tens digit: 1 → < 5 → round down
57,311 → 57,300
19. 67,195 → underlined digit is 7 (thousands place)
→ Round to nearest 1,000
Look at hundreds digit: 1 → < 5 → round down
67,195 → 67,000
20. 77,303 → underlined digit is 3 (hundreds place)
→ Round to nearest 100
Look at tens digit: 0 → < 5 → round down
77,303 → 77,300
21. 90,205 → underlined digit is 2 (hundreds place)
→ Round to nearest 100
Look at tens digit: 0 → < 5 → round down
90,205 → 90,200
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✔ Final Answers:
1. 57,000
2. 77,500
3. 64,000
4. 19,000
5. 15,000
6. 33,600
7. 33,400
8. 85,000
9. 95,000
10. 49,000
11. 3,700
12. 97,700
13. 59,900
14. 32,400
15. 20,200
16. 21,400
17. 75,700
18. 57,300
19. 67,000
20. 77,300
21. 90,200
---
✔ Explanation Summary:
For each number, we identified the place value of the underlined digit (e.g., thousands, hundreds), then applied the rounding rule based on the digit to its right. This ensures accuracy according to the required level of precision.
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 rounding off numbers worksheet.
