Grade 4 Place Value & Rounding Worksheets | Worsheets library - Free Printable
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Step-by-step solution for: Grade 4 Place Value & Rounding Worksheets | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Place Value & Rounding Worksheets | Worsheets library
You're working on a Grade 4 rounding worksheet titled “Mixed rounding: round numbers to the underlined digit”.
The example given is:
> 4,689 rounded to the nearest 1,000 is 5,000
This tells us that we are to round each number to the place value of the underlined digit — even though in your image, the digits are not visually underlined (likely due to formatting or upload limitations), the worksheet implies that the digit you’re supposed to round to is indicated by position, and based on standard worksheets like this, the underlined digit is usually the first digit shown in bold or marked somehow.
However, since no actual underlining is visible in your uploaded text, I will assume — based on common Grade 4 rounding worksheets — that the underlined digit is the leftmost digit in each number (i.e., the highest place value digit). This is consistent with the example: in 4,689, the “4” is in the thousands place, and they rounded to the nearest 1,000 → 5,000.
---
✔ So, for each number, we will:
1. Identify the place value of the leftmost digit (assumed underlined).
2. Round the entire number to that place value.
3. Apply standard rounding rules: look at the digit to the right — if it’s 5 or more, round up; if less than 5, round down.
---
Let’s solve each problem one by one:
---
- Leftmost digit: 5 → in the ten thousands place → round to nearest 10,000
- Look at next digit: 8 (≥5) → round up
- 58,914 → 60,000
---
- Leftmost digit: 7 → ten thousands → round to 10,000
- Next digit: 7 (≥5) → round up
- 77,453 → 80,000
---
- Leftmost: 6 → ten thousands → round to 10,000
- Next digit: 3 (<5) → round down
- 63,678 → 60,000
---
- Leftmost: 1 → ten thousands → round to 10,000
- Next digit: 9 (≥5) → round up
- 19,113 → 20,000
---
- Leftmost: 1 → ten thousands → round to 10,000
- Next digit: 5 (≥5) → round up
- 15,003 → 20,000
---
- Leftmost: 3 → ten thousands → round to 10,000
- Next digit: 3 (<5) → round down
- 33,575 → 30,000
---
- Leftmost: 3 → ten thousands → round to 10,000
- Next digit: 3 (<5) → round down
- 33,446 → 30,000
---
- Leftmost: 8 → ten thousands → round to 10,000
- Next digit: 4 (<5) → round down
- 84,822 → 80,000
---
- Leftmost: 9 → ten thousands → round to 10,000
- Next digit: 5 (≥5) → round up
- 95,150 → 100,000
---
- Leftmost: 4 → ten thousands → round to 10,000
- Next digit: 9 (≥5) → round up
- 49,332 → 50,000
---
- Leftmost: 3 → thousands → round to 1,000
- Next digit: 6 (≥5) → round up
- 3,655 → 4,000
---
- Leftmost: 9 → ten thousands → round to 10,000
- Next digit: 7 (≥5) → round up
- 97,722 → 100,000
---
- Leftmost: 5 → ten thousands → round to 10,000
- Next digit: 9 (≥5) → round up
- 59,899 → 60,000
---
- Leftmost: 3 → ten thousands → round to 10,000
- Next digit: 2 (<5) → round down
- 32,420 → 30,000
---
- Leftmost: 2 → ten thousands → round to 10,000
- Next digit: 0 (<5) → round down
- 20,151 → 20,000
---
- Leftmost: 2 → ten thousands → round to 10,000
- Next digit: 1 (<5) → round down
- 21,391 → 20,000
---
- Leftmost: 7 → ten thousands → round to 10,000
- Next digit: 5 (≥5) → round up
- 75,705 → 80,000
---
- Leftmost: 5 → ten thousands → round to 10,000
- Next digit: 7 (≥5) → round up
- 57,311 → 60,000
---
- Leftmost: 6 → ten thousands → round to 10,000
- Next digit: 7 (≥5) → round up
- 67,195 → 70,000
---
- Leftmost: 7 → ten thousands → round to 10,000
- Next digit: 7 (≥5) → round up
- 77,303 → 80,000
---
- Leftmost: 9 → ten thousands → round to 10,000
- Next digit: 0 (<5) → round down
- 90,205 → 90,000
---
## ✔ Final Answers:
1. 60,000
2. 80,000
3. 60,000
4. 20,000
5. 20,000
6. 30,000
7. 30,000
8. 80,000
9. 100,000
10. 50,000
11. 4,000
12. 100,000
13. 60,000
14. 30,000
15. 20,000
16. 20,000
17. 80,000
18. 60,000
19. 70,000
20. 80,000
21. 90,000
---
## 📝 Summary:
- We assumed the leftmost digit is the underlined digit (as per typical worksheet format when underlining isn’t visible).
- Rounded each number to the nearest 10,000 (for 5-digit numbers) or nearest 1,000 (for 4-digit numbers like #11).
- Used standard rounding rules: look at the digit to the right — ≥5 → round up; <5 → round down.
Let me know if you meant a different digit to be underlined — if you can describe which digit is underlined (e.g., "the 8 in 58,914"), I can adjust the answers accordingly!
The example given is:
> 4,689 rounded to the nearest 1,000 is 5,000
This tells us that we are to round each number to the place value of the underlined digit — even though in your image, the digits are not visually underlined (likely due to formatting or upload limitations), the worksheet implies that the digit you’re supposed to round to is indicated by position, and based on standard worksheets like this, the underlined digit is usually the first digit shown in bold or marked somehow.
However, since no actual underlining is visible in your uploaded text, I will assume — based on common Grade 4 rounding worksheets — that the underlined digit is the leftmost digit in each number (i.e., the highest place value digit). This is consistent with the example: in 4,689, the “4” is in the thousands place, and they rounded to the nearest 1,000 → 5,000.
---
✔ So, for each number, we will:
1. Identify the place value of the leftmost digit (assumed underlined).
2. Round the entire number to that place value.
3. Apply standard rounding rules: look at the digit to the right — if it’s 5 or more, round up; if less than 5, round down.
---
Let’s solve each problem one by one:
---
1. 58,914
- Leftmost digit: 5 → in the ten thousands place → round to nearest 10,000
- Look at next digit: 8 (≥5) → round up
- 58,914 → 60,000
---
2. 77,453
- Leftmost digit: 7 → ten thousands → round to 10,000
- Next digit: 7 (≥5) → round up
- 77,453 → 80,000
---
3. 63,678
- Leftmost: 6 → ten thousands → round to 10,000
- Next digit: 3 (<5) → round down
- 63,678 → 60,000
---
4. 19,113
- Leftmost: 1 → ten thousands → round to 10,000
- Next digit: 9 (≥5) → round up
- 19,113 → 20,000
---
5. 15,003
- Leftmost: 1 → ten thousands → round to 10,000
- Next digit: 5 (≥5) → round up
- 15,003 → 20,000
---
6. 33,575
- Leftmost: 3 → ten thousands → round to 10,000
- Next digit: 3 (<5) → round down
- 33,575 → 30,000
---
7. 33,446
- Leftmost: 3 → ten thousands → round to 10,000
- Next digit: 3 (<5) → round down
- 33,446 → 30,000
---
8. 84,822
- Leftmost: 8 → ten thousands → round to 10,000
- Next digit: 4 (<5) → round down
- 84,822 → 80,000
---
9. 95,150
- Leftmost: 9 → ten thousands → round to 10,000
- Next digit: 5 (≥5) → round up
- 95,150 → 100,000
---
10. 49,332
- Leftmost: 4 → ten thousands → round to 10,000
- Next digit: 9 (≥5) → round up
- 49,332 → 50,000
---
11. 3,655
- Leftmost: 3 → thousands → round to 1,000
- Next digit: 6 (≥5) → round up
- 3,655 → 4,000
---
12. 97,722
- Leftmost: 9 → ten thousands → round to 10,000
- Next digit: 7 (≥5) → round up
- 97,722 → 100,000
---
13. 59,899
- Leftmost: 5 → ten thousands → round to 10,000
- Next digit: 9 (≥5) → round up
- 59,899 → 60,000
---
14. 32,420
- Leftmost: 3 → ten thousands → round to 10,000
- Next digit: 2 (<5) → round down
- 32,420 → 30,000
---
15. 20,151
- Leftmost: 2 → ten thousands → round to 10,000
- Next digit: 0 (<5) → round down
- 20,151 → 20,000
---
16. 21,391
- Leftmost: 2 → ten thousands → round to 10,000
- Next digit: 1 (<5) → round down
- 21,391 → 20,000
---
17. 75,705
- Leftmost: 7 → ten thousands → round to 10,000
- Next digit: 5 (≥5) → round up
- 75,705 → 80,000
---
18. 57,311
- Leftmost: 5 → ten thousands → round to 10,000
- Next digit: 7 (≥5) → round up
- 57,311 → 60,000
---
19. 67,195
- Leftmost: 6 → ten thousands → round to 10,000
- Next digit: 7 (≥5) → round up
- 67,195 → 70,000
---
20. 77,303
- Leftmost: 7 → ten thousands → round to 10,000
- Next digit: 7 (≥5) → round up
- 77,303 → 80,000
---
21. 90,205
- Leftmost: 9 → ten thousands → round to 10,000
- Next digit: 0 (<5) → round down
- 90,205 → 90,000
---
## ✔ Final Answers:
1. 60,000
2. 80,000
3. 60,000
4. 20,000
5. 20,000
6. 30,000
7. 30,000
8. 80,000
9. 100,000
10. 50,000
11. 4,000
12. 100,000
13. 60,000
14. 30,000
15. 20,000
16. 20,000
17. 80,000
18. 60,000
19. 70,000
20. 80,000
21. 90,000
---
## 📝 Summary:
- We assumed the leftmost digit is the underlined digit (as per typical worksheet format when underlining isn’t visible).
- Rounded each number to the nearest 10,000 (for 5-digit numbers) or nearest 1,000 (for 4-digit numbers like #11).
- Used standard rounding rules: look at the digit to the right — ≥5 → round up; <5 → round down.
Let me know if you meant a different digit to be underlined — if you can describe which digit is underlined (e.g., "the 8 in 58,914"), I can adjust the answers accordingly!
Parent Tip: Review the logic above to help your child master the concept of round off numbers worksheet.
