Problem Explanation:
The task involves rounding numbers to the nearest hundred. Rounding to the nearest hundred means determining whether the tens digit of a number is 5 or greater (round up) or less than 5 (round down). Here's how it works:
1.
Identify the hundreds place: This is the third digit from the right.
2.
Look at the tens digit:
- If the tens digit is 5 or greater, round up the hundreds digit by 1.
- If the tens digit is less than 5, keep the hundreds digit as it is.
3.
Set all digits to the right of the hundreds place to zero.
Solution:
#### Part 1: Rounding Integer Numbers to the Nearest Hundred
We will round each number step by step.
1.
861:
- Hundreds place: 8
- Tens digit: 6 (greater than 5)
- Round up: 900
- Answer:
900
2.
426:
- Hundreds place: 4
- Tens digit: 2 (less than 5)
- Keep the same: 400
- Answer:
400
3.
415:
- Hundreds place: 4
- Tens digit: 1 (less than 5)
- Keep the same: 400
- Answer:
400
4.
981:
- Hundreds place: 9
- Tens digit: 8 (greater than 5)
- Round up: 1000
- Answer:
1000
5.
436:
- Hundreds place: 4
- Tens digit: 3 (less than 5)
- Keep the same: 400
- Answer:
400
6.
621:
- Hundreds place: 6
- Tens digit: 2 (less than 5)
- Keep the same: 600
- Answer:
600
7.
699:
- Hundreds place: 6
- Tens digit: 9 (greater than 5)
- Round up: 700
- Answer:
700
8.
313:
- Hundreds place: 3
- Tens digit: 1 (less than 5)
- Keep the same: 300
- Answer:
300
9.
371:
- Hundreds place: 3
- Tens digit: 7 (greater than 5)
- Round up: 400
- Answer:
400
10.
549:
- Hundreds place: 5
- Tens digit: 4 (less than 5)
- Keep the same: 500
- Answer:
500
#### Part 2: Rounding Decimal Numbers to the Nearest Hundred
For decimal numbers, we ignore the decimal part and focus on the integer part for rounding to the nearest hundred.
1.
3,979:
- Hundreds place: 9
- Tens digit: 7 (greater than 5)
- Round up: 4,000
- Answer:
4,000
2.
3,285:
- Hundreds place: 2
- Tens digit: 8 (greater than 5)
- Round up: 3,300
- Answer:
3,300
3.
8,258:
- Hundreds place: 2
- Tens digit: 5 (equal to 5)
- Round up: 8,300
- Answer:
8,300
4.
4,715:
- Hundreds place: 7
- Tens digit: 1 (less than 5)
- Keep the same: 4,700
- Answer:
4,700
5.
1,873:
- Hundreds place: 8
- Tens digit: 7 (greater than 5)
- Round up: 1,900
- Answer:
1,900
6.
8,298:
- Hundreds place: 2
- Tens digit: 9 (greater than 5)
- Round up: 8,300
- Answer:
8,300
7.
6,776:
- Hundreds place: 7
- Tens digit: 7 (greater than 5)
- Round up: 6,800
- Answer:
6,800
8.
9,492:
- Hundreds place: 4
- Tens digit: 9 (greater than 5)
- Round up: 9,500
- Answer:
9,500
9.
1,555:
- Hundreds place: 5
- Tens digit: 5 (equal to 5)
- Round up: 1,600
- Answer:
1,600
10.
6,758:
- Hundreds place: 7
- Tens digit: 5 (equal to 5)
- Round up: 6,800
- Answer:
6,800
Final Answers:
#### Part 1: Rounding Integer Numbers
1.
900
2.
400
3.
400
4.
1000
5.
400
6.
600
7.
700
8.
300
9.
400
10.
500
#### Part 2: Rounding Decimal Numbers
1.
4,000
2.
3,300
3.
8,300
4.
4,700
5.
1,900
6.
8,300
7.
6,800
8.
9,500
9.
1,600
10.
6,800
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{Part 1:} & 900, 400, 400, 1000, 400, 600, 700, 300, 400, 500 \\
\text{Part 2:} & 4000, 3300, 8300, 4700, 1900, 8300, 6800, 9500, 1600, 6800 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of rounding worksheet grade 3.
