Rounding numbers worksheet for practicing rounding to the nearest ten, hundred, and thousand.
A worksheet titled "Rounding" with a table for rounding numbers to the nearest ten, hundred, and thousand, including examples and a section to choose correct numbers to complete the table.
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Step-by-step solution for: Rounding Worksheets (Nearest Thousand)
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Worksheets (Nearest Thousand)
Let’s solve this step by step.
We are rounding numbers to the nearest ten, hundred, and thousand. Here’s how we do it:
- Nearest Ten: Look at the ones digit (last digit). If it’s 5 or more, round up. If less than 5, keep the tens digit same and change ones to 0.
- Nearest Hundred: Look at the tens digit. If it’s 5 or more, round up the hundreds. If less than 5, keep hundreds same and change tens/ones to 0.
- Nearest Thousand: Look at the hundreds digit. If it’s 5 or more, round up the thousands. If less than 5, keep thousands same and change hundreds/tens/ones to 0.
Now let’s fill in the first table row by row.
---
Row 1: Number = 6,714
- Nearest Ten → look at ones digit: 4 → less than 5 → so 6,710 ✔ (already given)
- Nearest Hundred → look at tens digit: 1 → less than 5 → so 6,700
- Nearest Thousand → look at hundreds digit: 7 → 5 or more → round up → 7,000
→ Fill: 6,700 | 7,000
---
Row 2: Number = 562
- Nearest Ten → ones digit = 2 → less than 5 → 560
- Nearest Hundred → tens digit = 6 → 5 or more → round up → 600 ✔ (given)
- Nearest Thousand → hundreds digit = 5 → 5 or more → round up → 1,000
→ Fill: 560 | 1,000
---
Row 3: Number = 1,234
- Nearest Ten → ones digit = 4 → less than 5 → 1,230
- Nearest Hundred → tens digit = 3 → less than 5 → 1,200
- Nearest Thousand → hundreds digit = 2 → less than 5 → 1,000 ✔ (given)
→ Fill: 1,230 | 1,200
---
Row 4: Number = 5,678
- Nearest Ten → ones digit = 8 → 5 or more → round up → 5,680
- Nearest Hundred → tens digit = 7 → 5 or more → round up → 5,700 ✔ (given)
- Nearest Thousand → hundreds digit = 6 → 5 or more → round up → 6,000
→ Fill: 5,680 | 6,000
---
Row 5: Number = 4,007
- Nearest Ten → ones digit = 7 → 5 or more → round up → 4,010
- Nearest Hundred → tens digit = 0 → less than 5 → 4,000
- Nearest Thousand → hundreds digit = 0 → less than 5 → 4,000 ✔ (given)
→ Fill: 4,010 | 4,000
Wait — but “Nearest Hundred” for 4,007:
Tens digit is 0 → so yes, 4,000. But note: 4,007 rounded to nearest hundred is 4,000? Let’s check:
4,007 is between 4,000 and 4,100. Since 07 < 50, yes → 4,000.
But wait — actually, 4,007 to nearest hundred:
Look at tens place → 0 → which is less than 5 → so yes, 4,000.
BUT — hold on! The problem says “round each number to the nearest ten, nearest hundred, and/or nearest thousand.” So we must compute all three unless already filled.
In row 5, “Nearest Hundred” is blank? Wait no — looking back:
Original table:
For 4,007:
- Nearest Ten: blank
- Nearest Hundred: blank? Wait no — in original image description, for 4,007, “Nearest Thousand” is 4,000 (given), others blank.
Actually, rechecking user input:
> 4,007 | | | 4,000
So Nearest Ten and Nearest Hundred are blank.
So:
- Nearest Ten: 4,007 → ones=7 → round up → 4,010
- Nearest Hundred: tens=0 → less than 5 → 4,000
- Nearest Thousand: given as 4,000
→ Fill: 4,010 | 4,000
---
Row 6: Number = 8,209
- Nearest Ten → ones=9 → round up → 8,210
- Nearest Hundred → tens=0 → less than 5 → 8,200 ✔ (given)
- Nearest Thousand → hundreds=2 → less than 5 → 8,000
→ Fill: 8,210 | 8,000
---
Row 7: Number = 9,055
- Nearest Ten → ones=5 → round up → 9,060 ✔ (given)
- Nearest Hundred → tens=5 → round up → 9,100
- Nearest Thousand → hundreds=0 → less than 5 → 9,000
→ Fill: 9,100 | 9,000
---
Now second part: Choose any numbers for the first column that will correctly complete the table.
Given:
First row of second table:
Number | Nearest Ten = 7,770 | Nearest Hundred = 7,800 | Nearest Thousand = 8,000
What number rounds to:
- 7,770 (nearest ten) → so number must be between 7,765 and 7,774 (since rounding to nearest ten gives 7,770)
- Also rounds to 7,800 (nearest hundred) → so must be between 7,750 and 7,849
- And rounds to 8,000 (nearest thousand) → so must be between 7,500 and 8,499
Overlap: from max(7,765, 7,750, 7,500) = 7,765 to min(7,774, 7,849, 8,499) = 7,774
So any number from 7,765 to 7,774 works.
Example: 7,770 itself? Let’s test:
7,770 → nearest ten: 7,770 ✔
nearest hundred: 7,800? Tens digit is 7 → yes, round up → 7,800 ✔
nearest thousand: hundreds digit is 7 → round up → 8,000 ✔
Perfect. So 7,770 works.
Second row:
Nearest Ten = 9,430 → so number between 9,425 and 9,434
Nearest Hundred = 9,400 → so number between 9,350 and 9,449
Nearest Thousand = 9,000 → so number between 8,500 and 9,499
Overlap: max(9,425, 9,350, 8,500) = 9,425 to min(9,434, 9,449, 9,499) = 9,434
So pick 9,430.
Check:
9,430 → nearest ten: 9,430 ✔
nearest hundred: tens=3 → less than 5 → 9,400 ✔
nearest thousand: hundreds=4 → less than 5 → 9,000 ✔
Perfect.
So we can use 7,770 and 9,430.
But the instruction says “choose any numbers”, so these work.
Alternatively, we could choose other numbers in range, like 7,768 or 9,432 — but since they didn’t specify uniqueness or constraints, using the rounded values themselves is fine.
Final Answer:
First Table Completed:
| Number | Nearest Ten | Nearest Hundred | Nearest Thousand |
|--------|-------------|------------------|-------------------|
| 6,714 | 6,710 | 6,700 | 7,000 |
| 562 | 560 | 600 | 1,000 |
| 1,234 | 1,230 | 1,200 | 1,000 |
| 5,678 | 5,680 | 5,700 | 6,000 |
| 4,007 | 4,010 | 4,000 | 4,000 |
| 8,209 | 8,210 | 8,200 | 8,000 |
| 9,055 | 9,060 | 9,100 | 9,000 |
Second Table (example answers):
| Number | Nearest Ten | Nearest Hundred | Nearest Thousand |
|--------|-------------|------------------|-------------------|
| 7,770 | 7,770 | 7,800 | 8,000 |
| 9,430 | 9,430 | 9,400 | 9,000 |
Note: Other numbers may also work for the second table, as long as they round correctly.
Final Answer:
First Table:
6,714 → 6,700, 7,000
562 → 560, 1,000
1,234 → 1,230, 1,200
5,678 → 5,680, 6,000
4,007 → 4,010, 4,000
8,209 → 8,210, 8,000
9,055 → 9,100, 9,000
Second Table (one possible solution):
7,770 and 9,430
We are rounding numbers to the nearest ten, hundred, and thousand. Here’s how we do it:
- Nearest Ten: Look at the ones digit (last digit). If it’s 5 or more, round up. If less than 5, keep the tens digit same and change ones to 0.
- Nearest Hundred: Look at the tens digit. If it’s 5 or more, round up the hundreds. If less than 5, keep hundreds same and change tens/ones to 0.
- Nearest Thousand: Look at the hundreds digit. If it’s 5 or more, round up the thousands. If less than 5, keep thousands same and change hundreds/tens/ones to 0.
Now let’s fill in the first table row by row.
---
Row 1: Number = 6,714
- Nearest Ten → look at ones digit: 4 → less than 5 → so 6,710 ✔ (already given)
- Nearest Hundred → look at tens digit: 1 → less than 5 → so 6,700
- Nearest Thousand → look at hundreds digit: 7 → 5 or more → round up → 7,000
→ Fill: 6,700 | 7,000
---
Row 2: Number = 562
- Nearest Ten → ones digit = 2 → less than 5 → 560
- Nearest Hundred → tens digit = 6 → 5 or more → round up → 600 ✔ (given)
- Nearest Thousand → hundreds digit = 5 → 5 or more → round up → 1,000
→ Fill: 560 | 1,000
---
Row 3: Number = 1,234
- Nearest Ten → ones digit = 4 → less than 5 → 1,230
- Nearest Hundred → tens digit = 3 → less than 5 → 1,200
- Nearest Thousand → hundreds digit = 2 → less than 5 → 1,000 ✔ (given)
→ Fill: 1,230 | 1,200
---
Row 4: Number = 5,678
- Nearest Ten → ones digit = 8 → 5 or more → round up → 5,680
- Nearest Hundred → tens digit = 7 → 5 or more → round up → 5,700 ✔ (given)
- Nearest Thousand → hundreds digit = 6 → 5 or more → round up → 6,000
→ Fill: 5,680 | 6,000
---
Row 5: Number = 4,007
- Nearest Ten → ones digit = 7 → 5 or more → round up → 4,010
- Nearest Hundred → tens digit = 0 → less than 5 → 4,000
- Nearest Thousand → hundreds digit = 0 → less than 5 → 4,000 ✔ (given)
→ Fill: 4,010 | 4,000
Wait — but “Nearest Hundred” for 4,007:
Tens digit is 0 → so yes, 4,000. But note: 4,007 rounded to nearest hundred is 4,000? Let’s check:
4,007 is between 4,000 and 4,100. Since 07 < 50, yes → 4,000.
But wait — actually, 4,007 to nearest hundred:
Look at tens place → 0 → which is less than 5 → so yes, 4,000.
BUT — hold on! The problem says “round each number to the nearest ten, nearest hundred, and/or nearest thousand.” So we must compute all three unless already filled.
In row 5, “Nearest Hundred” is blank? Wait no — looking back:
Original table:
For 4,007:
- Nearest Ten: blank
- Nearest Hundred: blank? Wait no — in original image description, for 4,007, “Nearest Thousand” is 4,000 (given), others blank.
Actually, rechecking user input:
> 4,007 | | | 4,000
So Nearest Ten and Nearest Hundred are blank.
So:
- Nearest Ten: 4,007 → ones=7 → round up → 4,010
- Nearest Hundred: tens=0 → less than 5 → 4,000
- Nearest Thousand: given as 4,000
→ Fill: 4,010 | 4,000
---
Row 6: Number = 8,209
- Nearest Ten → ones=9 → round up → 8,210
- Nearest Hundred → tens=0 → less than 5 → 8,200 ✔ (given)
- Nearest Thousand → hundreds=2 → less than 5 → 8,000
→ Fill: 8,210 | 8,000
---
Row 7: Number = 9,055
- Nearest Ten → ones=5 → round up → 9,060 ✔ (given)
- Nearest Hundred → tens=5 → round up → 9,100
- Nearest Thousand → hundreds=0 → less than 5 → 9,000
→ Fill: 9,100 | 9,000
---
Now second part: Choose any numbers for the first column that will correctly complete the table.
Given:
First row of second table:
Number | Nearest Ten = 7,770 | Nearest Hundred = 7,800 | Nearest Thousand = 8,000
What number rounds to:
- 7,770 (nearest ten) → so number must be between 7,765 and 7,774 (since rounding to nearest ten gives 7,770)
- Also rounds to 7,800 (nearest hundred) → so must be between 7,750 and 7,849
- And rounds to 8,000 (nearest thousand) → so must be between 7,500 and 8,499
Overlap: from max(7,765, 7,750, 7,500) = 7,765 to min(7,774, 7,849, 8,499) = 7,774
So any number from 7,765 to 7,774 works.
Example: 7,770 itself? Let’s test:
7,770 → nearest ten: 7,770 ✔
nearest hundred: 7,800? Tens digit is 7 → yes, round up → 7,800 ✔
nearest thousand: hundreds digit is 7 → round up → 8,000 ✔
Perfect. So 7,770 works.
Second row:
Nearest Ten = 9,430 → so number between 9,425 and 9,434
Nearest Hundred = 9,400 → so number between 9,350 and 9,449
Nearest Thousand = 9,000 → so number between 8,500 and 9,499
Overlap: max(9,425, 9,350, 8,500) = 9,425 to min(9,434, 9,449, 9,499) = 9,434
So pick 9,430.
Check:
9,430 → nearest ten: 9,430 ✔
nearest hundred: tens=3 → less than 5 → 9,400 ✔
nearest thousand: hundreds=4 → less than 5 → 9,000 ✔
Perfect.
So we can use 7,770 and 9,430.
But the instruction says “choose any numbers”, so these work.
Alternatively, we could choose other numbers in range, like 7,768 or 9,432 — but since they didn’t specify uniqueness or constraints, using the rounded values themselves is fine.
Final Answer:
First Table Completed:
| Number | Nearest Ten | Nearest Hundred | Nearest Thousand |
|--------|-------------|------------------|-------------------|
| 6,714 | 6,710 | 6,700 | 7,000 |
| 562 | 560 | 600 | 1,000 |
| 1,234 | 1,230 | 1,200 | 1,000 |
| 5,678 | 5,680 | 5,700 | 6,000 |
| 4,007 | 4,010 | 4,000 | 4,000 |
| 8,209 | 8,210 | 8,200 | 8,000 |
| 9,055 | 9,060 | 9,100 | 9,000 |
Second Table (example answers):
| Number | Nearest Ten | Nearest Hundred | Nearest Thousand |
|--------|-------------|------------------|-------------------|
| 7,770 | 7,770 | 7,800 | 8,000 |
| 9,430 | 9,430 | 9,400 | 9,000 |
Note: Other numbers may also work for the second table, as long as they round correctly.
Final Answer:
First Table:
6,714 → 6,700, 7,000
562 → 560, 1,000
1,234 → 1,230, 1,200
5,678 → 5,680, 6,000
4,007 → 4,010, 4,000
8,209 → 8,210, 8,000
9,055 → 9,100, 9,000
Second Table (one possible solution):
7,770 and 9,430
Parent Tip: Review the logic above to help your child master the concept of rounding to nearest ten thousand worksheet.