Problem Overview:
The task involves rounding numbers to the nearest hundredth and filling in a number line with the previous and next hundredths. The goal is to understand how to round decimal numbers and accurately represent them on a number line.
Key Concepts:
1.
Rounding to the Nearest Hundredth:
- Look at the digit in the thousandths place (the third digit after the decimal point).
- If it is 5 or greater, round up the hundredths place by 1.
- If it is less than 5, keep the hundredths place as it is.
2.
Number Line Representation:
- Identify the previous and next hundredths for each given number.
- For example, if the number is 8.272, the previous hundredth is 8.27, and the next hundredth is 8.28.
Solution:
####
Step 1: Analyze Each Number
1.
Number: 8.272
-
Previous Hundredth: 8.27
-
Next Hundredth: 8.28
-
Rounding to the Nearest Hundredth:
- Thousandths digit = 2 (less than 5)
- Rounded value = 8.27
2.
Number: 5.988
-
Previous Hundredth: 5.98
-
Next Hundredth: 5.99
-
Rounding to the Nearest Hundredth:
- Thousandths digit = 8 (greater than or equal to 5)
- Rounded value = 5.99
3.
Number: 12.645
-
Previous Hundredth: 12.64
-
Next Hundredth: 12.65
-
Rounding to the Nearest Hundredth:
- Thousandths digit = 5 (equal to 5)
- Rounded value = 12.65
4.
Number: 9.006
-
Previous Hundredth: 9.00
-
Next Hundredth: 9.01
-
Rounding to the Nearest Hundredth:
- Thousandths digit = 6 (greater than or equal to 5)
- Rounded value = 9.01
5.
Number: 0.714
-
Previous Hundredth: 0.71
-
Next Hundredth: 0.72
-
Rounding to the Nearest Hundredth:
- Thousandths digit = 4 (less than 5)
- Rounded value = 0.71
####
Step 2: Fill in the Number Lines
For each number, fill in the previous and next hundredths on the number line and provide the rounded value.
1.
8.272:
- Previous Hundredth: 8.27
- Next Hundredth: 8.28
- Rounded Value: 8.27
2.
5.988:
- Previous Hundredth: 5.98
- Next Hundredth: 5.99
- Rounded Value: 5.99
3.
12.645:
- Previous Hundredth: 12.64
- Next Hundredth: 12.65
- Rounded Value: 12.65
4.
9.006:
- Previous Hundredth: 9.00
- Next Hundredth: 9.01
- Rounded Value: 9.01
5.
0.714:
- Previous Hundredth: 0.71
- Next Hundredth: 0.72
- Rounded Value: 0.71
####
Final Answer:
\[
\boxed{
\begin{array}{c}
\text{8.272: Previous = 8.27, Next = 8.28, Rounded = 8.27} \\
\text{5.988: Previous = 5.98, Next = 5.99, Rounded = 5.99} \\
\text{12.645: Previous = 12.64, Next = 12.65, Rounded = 12.65} \\
\text{9.006: Previous = 9.00, Next = 9.01, Rounded = 9.01} \\
\text{0.714: Previous = 0.71, Next = 0.72, Rounded = 0.71}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of rounding to the nearest hundred worksheet.
