Problem Explanation:
The task involves rounding numbers to the nearest ten, hundred, and thousand. Rounding is a method of approximating numbers to make them easier to work with while maintaining their general value. Here's how rounding works:
1.
Rounding to the Nearest Ten:
- Look at the digit in the ones place.
- If it is 5 or greater, round up by increasing the tens digit by 1.
- If it is less than 5, round down by keeping the tens digit the same.
2.
Rounding to the Nearest Hundred:
- Look at the digit in the tens place.
- If it is 5 or greater, round up by increasing the hundreds digit by 1.
- If it is less than 5, round down by keeping the hundreds digit the same.
3.
Rounding to the Nearest Thousand:
- Look at the digit in the hundreds place.
- If it is 5 or greater, round up by increasing the thousands digit by 1.
- If it is less than 5, round down by keeping the thousands digit the same.
Solution:
#### Part 1: Round the numbers to the nearest ten.
1.
2219: The ones digit is 9 (which is ≥ 5). Round up.
- Result:
2220
2.
3872: The ones digit is 2 (which is < 5). Round down.
- Result:
3870
3.
5226: The ones digit is 6 (which is ≥ 5). Round up.
- Result:
5230
4.
9131: The ones digit is 1 (which is < 5). Round down.
- Result:
9130
5.
4552: The ones digit is 2 (which is < 5). Round down.
- Result:
4550
6.
1711: The ones digit is 1 (which is < 5). Round down.
- Result:
1710
#### Part 2: Round the numbers to the nearest hundred.
1.
2742: The tens digit is 4 (which is < 5). Round down.
- Result:
2700
2.
2764: The tens digit is 6 (which is ≥ 5). Round up.
- Result:
2800
3.
8097: The tens digit is 9 (which is ≥ 5). Round up.
- Result:
8100
4.
8435: The tens digit is 3 (which is < 5). Round down.
- Result:
8400
5.
7921: The tens digit is 2 (which is < 5). Round down.
- Result:
7900
6.
7860: The tens digit is 6 (which is ≥ 5). Round up.
- Result:
7900
#### Part 3: Round the numbers to the nearest thousand.
1.
1735: The hundreds digit is 7 (which is ≥ 5). Round up.
- Result:
2000
2.
2114: The hundreds digit is 1 (which is < 5). Round down.
- Result:
2000
3.
8015: The hundreds digit is 0 (which is < 5). Round down.
- Result:
8000
4.
7485: The hundreds digit is 4 (which is < 5). Round down.
- Result:
7000
5.
5911: The hundreds digit is 9 (which is ≥ 5). Round up.
- Result:
6000
6.
7820: The hundreds digit is 8 (which is ≥ 5). Round up.
- Result:
8000
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 rounding to nearest ten thousand worksheet.
