Rounding Numbers to 10000 - Worksheet Digital - Free Printable
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Step-by-step solution for: Rounding Numbers to 10000 - Worksheet Digital
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Numbers to 10000 - Worksheet Digital
To solve the problem of rounding numbers to the nearest ten, hundred, and thousand, we need to follow specific rules for rounding. Let's break it down step by step.
1. Nearest Ten:
- Look at the digit in the ones place.
- If it is 5 or greater, round up.
- If it is less than 5, round down.
2. Nearest Hundred:
- Look at the digit in the tens place.
- If it is 5 or greater, round up.
- If it is less than 5, round down.
3. Nearest Thousand:
- Look at the digit in the hundreds place.
- If it is 5 or greater, round up.
- If it is less than 5, round down.
---
#### Round to the Nearest Ten:
1. 2219:
- Ones place: 9 (greater than 5) → Round up.
- Result: 2220
2. 3872:
- Ones place: 2 (less than 5) → Round down.
- Result: 3870
3. 5226:
- Ones place: 6 (greater than 5) → Round up.
- Result: 5230
4. 9131:
- Ones place: 1 (less than 5) → Round down.
- Result: 9130
5. 4552:
- Ones place: 2 (less than 5) → Round down.
- Result: 4550
6. 1711:
- Ones place: 1 (less than 5) → Round down.
- Result: 1710
---
#### Round to the Nearest Hundred:
1. 2742:
- Tens place: 4 (less than 5) → Round down.
- Result: 2700
2. 2764:
- Tens place: 6 (greater than 5) → Round up.
- Result: 2800
3. 8097:
- Tens place: 9 (greater than 5) → Round up.
- Result: 8100
4. 8435:
- Tens place: 3 (less than 5) → Round down.
- Result: 8400
5. 7921:
- Tens place: 2 (less than 5) → Round down.
- Result: 7900
6. 7860:
- Tens place: 6 (greater than 5) → Round up.
- Result: 7900
---
#### Round to the Nearest Thousand:
1. 1735:
- Hundreds place: 7 (greater than 5) → Round up.
- Result: 2000
2. 2114:
- Hundreds place: 1 (less than 5) → Round down.
- Result: 2000
3. 8015:
- Hundreds place: 0 (less than 5) → Round down.
- Result: 8000
4. 7485:
- Hundreds place: 4 (less than 5) → Round down.
- Result: 7000
5. 5911:
- Hundreds place: 9 (greater than 5) → Round up.
- Result: 6000
6. 7820:
- Hundreds place: 8 (greater than 5) → Round up.
- Result: 8000
---
#### Nearest Ten:
1. 2219 → 2220
2. 3872 → 3870
3. 5226 → 5230
4. 9131 → 9130
5. 4552 → 4550
6. 1711 → 1710
#### Nearest Hundred:
1. 2742 → 2700
2. 2764 → 2800
3. 8097 → 8100
4. 8435 → 8400
5. 7921 → 7900
6. 7860 → 7900
#### Nearest Thousand:
1. 1735 → 2000
2. 2114 → 2000
3. 8015 → 8000
4. 7485 → 7000
5. 5911 → 6000
6. 7820 → 8000
---
\[
\boxed{
\begin{array}{ll}
\text{Nearest Ten:} & 2220, 3870, 5230, 9130, 4550, 1710 \\
\text{Nearest Hundred:} & 2700, 2800, 8100, 8400, 7900, 7900 \\
\text{Nearest Thousand:} & 2000, 2000, 8000, 7000, 6000, 8000 \\
\end{array}
}
\]
Rounding Rules:
1. Nearest Ten:
- Look at the digit in the ones place.
- If it is 5 or greater, round up.
- If it is less than 5, round down.
2. Nearest Hundred:
- Look at the digit in the tens place.
- If it is 5 or greater, round up.
- If it is less than 5, round down.
3. Nearest Thousand:
- Look at the digit in the hundreds place.
- If it is 5 or greater, round up.
- If it is less than 5, round down.
---
Step-by-Step Solution:
#### Round to the Nearest Ten:
1. 2219:
- Ones place: 9 (greater than 5) → Round up.
- Result: 2220
2. 3872:
- Ones place: 2 (less than 5) → Round down.
- Result: 3870
3. 5226:
- Ones place: 6 (greater than 5) → Round up.
- Result: 5230
4. 9131:
- Ones place: 1 (less than 5) → Round down.
- Result: 9130
5. 4552:
- Ones place: 2 (less than 5) → Round down.
- Result: 4550
6. 1711:
- Ones place: 1 (less than 5) → Round down.
- Result: 1710
---
#### Round to the Nearest Hundred:
1. 2742:
- Tens place: 4 (less than 5) → Round down.
- Result: 2700
2. 2764:
- Tens place: 6 (greater than 5) → Round up.
- Result: 2800
3. 8097:
- Tens place: 9 (greater than 5) → Round up.
- Result: 8100
4. 8435:
- Tens place: 3 (less than 5) → Round down.
- Result: 8400
5. 7921:
- Tens place: 2 (less than 5) → Round down.
- Result: 7900
6. 7860:
- Tens place: 6 (greater than 5) → Round up.
- Result: 7900
---
#### Round to the Nearest Thousand:
1. 1735:
- Hundreds place: 7 (greater than 5) → Round up.
- Result: 2000
2. 2114:
- Hundreds place: 1 (less than 5) → Round down.
- Result: 2000
3. 8015:
- Hundreds place: 0 (less than 5) → Round down.
- Result: 8000
4. 7485:
- Hundreds place: 4 (less than 5) → Round down.
- Result: 7000
5. 5911:
- Hundreds place: 9 (greater than 5) → Round up.
- Result: 6000
6. 7820:
- Hundreds place: 8 (greater than 5) → Round up.
- Result: 8000
---
Final Answer:
#### Nearest Ten:
1. 2219 → 2220
2. 3872 → 3870
3. 5226 → 5230
4. 9131 → 9130
5. 4552 → 4550
6. 1711 → 1710
#### Nearest Hundred:
1. 2742 → 2700
2. 2764 → 2800
3. 8097 → 8100
4. 8435 → 8400
5. 7921 → 7900
6. 7860 → 7900
#### Nearest Thousand:
1. 1735 → 2000
2. 2114 → 2000
3. 8015 → 8000
4. 7485 → 7000
5. 5911 → 6000
6. 7820 → 8000
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{Nearest Ten:} & 2220, 3870, 5230, 9130, 4550, 1710 \\
\text{Nearest Hundred:} & 2700, 2800, 8100, 8400, 7900, 7900 \\
\text{Nearest Thousand:} & 2000, 2000, 8000, 7000, 6000, 8000 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of round off numbers worksheet.