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
Let's solve the rounding problems on this worksheet step by step. The task is to round each number to the nearest value of the underlined digit. Since the image doesn't show which digits are underlined, I will assume based on standard practice in such worksheets that the underlined digit is the one we're rounding to, and it’s usually a specific place value (like hundreds, tens, or ones).
However, since the actual underlining isn’t visible in your description, I’ll make an educated assumption: in most cases like this, the underlined digit is the one just before the decimal point or a key place value (e.g., hundreds, tens, or ones).
But wait — looking at the example:
> Example: 4,689 rounded to the nearest 1,000 is 5,000
This tells us that the underlined digit is likely the thousands place, so we’re rounding to the nearest thousand.
But in other numbers like 58,914, if we're rounding to the nearest thousand, then the underlined digit would be the thousands digit, which is 8 in 58,914.
So let's assume that each number has its "thousands" digit underlined, meaning we are to round each number to the nearest thousand.
Let’s go through each problem accordingly.
---
To round to the nearest thousand:
- Look at the hundreds digit (the digit to the right of the thousands place).
- If it's 5 or more, round up.
- If it's less than 5, round down.
---
Now, let’s solve each one:
1. 58,914 →
Thousands digit: 8 (in 58,000)
Hundreds digit: 9 → ≥5 → round up
→ 59,000
2. 77,453 →
Thousands digit: 7 (in 77,000)
Hundreds digit: 4 → <5 → round down
→ 77,000
3. 63,678 →
Thousands digit: 3 (in 63,000)
Hundreds digit: 6 → ≥5 → round up
→ 64,000
4. 19,113 →
Thousands digit: 9 (in 19,000)
Hundreds digit: 1 → <5 → round down
→ 19,000
5. 15,003 →
Thousands digit: 5 (in 15,000)
Hundreds digit: 0 → <5 → round down
→ 15,000
6. 33,575 →
Thousands digit: 3 (in 33,000)
Hundreds digit: 5 → ≥5 → round up
→ 34,000
7. 33,446 →
Thousands digit: 3 (in 33,000)
Hundreds digit: 4 → <5 → round down
→ 33,000
8. 84,822 →
Thousands digit: 4 (in 84,000)
Hundreds digit: 8 → ≥5 → round up
→ 85,000
9. 95,150 →
Thousands digit: 5 (in 95,000)
Hundreds digit: 1 → <5 → round down
→ 95,000
10. 49,332 →
Thousands digit: 9 (in 49,000)
Hundreds digit: 3 → <5 → round down
→ 49,000
11. 3,655 →
Thousands digit: 3 (in 3,000)
Hundreds digit: 6 → ≥5 → round up
→ 4,000
12. 97,722 →
Thousands digit: 7 (in 97,000)
Hundreds digit: 7 → ≥5 → round up
→ 98,000
13. 59,899 →
Thousands digit: 9 (in 59,000)
Hundreds digit: 8 → ≥5 → round up
→ 60,000
14. 32,420 →
Thousands digit: 2 (in 32,000)
Hundreds digit: 4 → <5 → round down
→ 32,000
15. 20,151 →
Thousands digit: 0 (in 20,000)
Hundreds digit: 1 → <5 → round down
→ 20,000
16. 21,391 →
Thousands digit: 1 (in 21,000)
Hundreds digit: 3 → <5 → round down
→ 21,000
17. 75,705 →
Thousands digit: 5 (in 75,000)
Hundreds digit: 7 → ≥5 → round up
→ 76,000
18. 57,311 →
Thousands digit: 7 (in 57,000)
Hundreds digit: 3 → <5 → round down
→ 57,000
19. 67,195 →
Thousands digit: 7 (in 67,000)
Hundreds digit: 1 → <5 → round down
→ 67,000
20. 77,303 →
Thousands digit: 7 (in 77,000)
Hundreds digit: 3 → <5 → round down
→ 77,000
21. 90,205 →
Thousands digit: 0 (in 90,000)
Hundreds digit: 2 → <5 → round down
→ 90,000
---
1. 59,000
2. 77,000
3. 64,000
4. 19,000
5. 15,000
6. 34,000
7. 33,000
8. 85,000
9. 95,000
10. 49,000
11. 4,000
12. 98,000
13. 60,000
14. 32,000
15. 20,000
16. 21,000
17. 76,000
18. 57,000
19. 67,000
20. 77,000
21. 90,000
---
We assumed the underlined digit was in the thousands place, based on the example given (4,689 → 5,000). So for each number, we:
- Identified the thousands digit
- Checked the hundreds digit to decide whether to round up or down
- Rounded to the nearest thousand
If the underlined digit were different (e.g., hundreds or tens), the answers would change. But since the example uses thousands, and the numbers are large, this is the most logical interpretation.
Let me know if you'd like to see solutions for rounding to a different place value!
However, since the actual underlining isn’t visible in your description, I’ll make an educated assumption: in most cases like this, the underlined digit is the one just before the decimal point or a key place value (e.g., hundreds, tens, or ones).
But wait — looking at the example:
> Example: 4,689 rounded to the nearest 1,000 is 5,000
This tells us that the underlined digit is likely the thousands place, so we’re rounding to the nearest thousand.
But in other numbers like 58,914, if we're rounding to the nearest thousand, then the underlined digit would be the thousands digit, which is 8 in 58,914.
So let's assume that each number has its "thousands" digit underlined, meaning we are to round each number to the nearest thousand.
Let’s go through each problem accordingly.
---
✔ Rule: Round to the nearest thousand
To round to the nearest thousand:
- Look at the hundreds digit (the digit to the right of the thousands place).
- If it's 5 or more, round up.
- If it's less than 5, round down.
---
Now, let’s solve each one:
1. 58,914 →
Thousands digit: 8 (in 58,000)
Hundreds digit: 9 → ≥5 → round up
→ 59,000
2. 77,453 →
Thousands digit: 7 (in 77,000)
Hundreds digit: 4 → <5 → round down
→ 77,000
3. 63,678 →
Thousands digit: 3 (in 63,000)
Hundreds digit: 6 → ≥5 → round up
→ 64,000
4. 19,113 →
Thousands digit: 9 (in 19,000)
Hundreds digit: 1 → <5 → round down
→ 19,000
5. 15,003 →
Thousands digit: 5 (in 15,000)
Hundreds digit: 0 → <5 → round down
→ 15,000
6. 33,575 →
Thousands digit: 3 (in 33,000)
Hundreds digit: 5 → ≥5 → round up
→ 34,000
7. 33,446 →
Thousands digit: 3 (in 33,000)
Hundreds digit: 4 → <5 → round down
→ 33,000
8. 84,822 →
Thousands digit: 4 (in 84,000)
Hundreds digit: 8 → ≥5 → round up
→ 85,000
9. 95,150 →
Thousands digit: 5 (in 95,000)
Hundreds digit: 1 → <5 → round down
→ 95,000
10. 49,332 →
Thousands digit: 9 (in 49,000)
Hundreds digit: 3 → <5 → round down
→ 49,000
11. 3,655 →
Thousands digit: 3 (in 3,000)
Hundreds digit: 6 → ≥5 → round up
→ 4,000
12. 97,722 →
Thousands digit: 7 (in 97,000)
Hundreds digit: 7 → ≥5 → round up
→ 98,000
13. 59,899 →
Thousands digit: 9 (in 59,000)
Hundreds digit: 8 → ≥5 → round up
→ 60,000
14. 32,420 →
Thousands digit: 2 (in 32,000)
Hundreds digit: 4 → <5 → round down
→ 32,000
15. 20,151 →
Thousands digit: 0 (in 20,000)
Hundreds digit: 1 → <5 → round down
→ 20,000
16. 21,391 →
Thousands digit: 1 (in 21,000)
Hundreds digit: 3 → <5 → round down
→ 21,000
17. 75,705 →
Thousands digit: 5 (in 75,000)
Hundreds digit: 7 → ≥5 → round up
→ 76,000
18. 57,311 →
Thousands digit: 7 (in 57,000)
Hundreds digit: 3 → <5 → round down
→ 57,000
19. 67,195 →
Thousands digit: 7 (in 67,000)
Hundreds digit: 1 → <5 → round down
→ 67,000
20. 77,303 →
Thousands digit: 7 (in 77,000)
Hundreds digit: 3 → <5 → round down
→ 77,000
21. 90,205 →
Thousands digit: 0 (in 90,000)
Hundreds digit: 2 → <5 → round down
→ 90,000
---
✔ Final Answers:
1. 59,000
2. 77,000
3. 64,000
4. 19,000
5. 15,000
6. 34,000
7. 33,000
8. 85,000
9. 95,000
10. 49,000
11. 4,000
12. 98,000
13. 60,000
14. 32,000
15. 20,000
16. 21,000
17. 76,000
18. 57,000
19. 67,000
20. 77,000
21. 90,000
---
🔍 Explanation Summary:
We assumed the underlined digit was in the thousands place, based on the example given (4,689 → 5,000). So for each number, we:
- Identified the thousands digit
- Checked the hundreds digit to decide whether to round up or down
- Rounded to the nearest thousand
If the underlined digit were different (e.g., hundreds or tens), the answers would change. But since the example uses thousands, and the numbers are large, this is the most logical interpretation.
Let me know if you'd like to see solutions for rounding to a different place value!
Parent Tip: Review the logic above to help your child master the concept of rounding off numbers worksheet.