Rounding decimals worksheet with practice problems and a self-assessment section.
Worksheet titled "Rounding Decimals" with two sections of problems requiring rounding numbers to the nearest hundredth, featuring a "How Did You Do?" section with smiley, neutral, and frowning faces.
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Decimals Worksheets - 15 Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Decimals Worksheets - 15 Worksheets Library
Problem Description:
The task involves rounding decimal numbers to the nearest hundredth. The worksheet provides two sets of numbers, and we need to round each number accordingly.
Key Concepts:
- Rounding to the nearest hundredth:
- Look at the digit in the thousandths place (the third digit after the decimal point).
- If this digit is 5 or greater, round up the hundredths place by 1.
- If this digit is less than 5, keep the hundredths place as it is.
- Drop all digits after the hundredths place.
Solution:
#### Part 1: Round each number to the nearest hundredth
1. 2.658
- Thousandths digit: 8 (greater than 5)
- Round up the hundredths place (5 → 6).
- Result: 2.66
2. 2.294
- Thousandths digit: 4 (less than 5)
- Keep the hundredths place as it is.
- Result: 2.29
3. 2.464
- Thousandths digit: 4 (less than 5)
- Keep the hundredths place as it is.
- Result: 2.46
4. 7.515
- Thousandths digit: 5 (equal to 5)
- Round up the hundredths place (1 → 2).
- Result: 7.52
5. 1.979
- Thousandths digit: 9 (greater than 5)
- Round up the hundredths place (7 → 8).
- Result: 1.98
6. 1.394
- Thousandths digit: 4 (less than 5)
- Keep the hundredths place as it is.
- Result: 1.39
7. 4.595
- Thousandths digit: 5 (equal to 5)
- Round up the hundredths place (9 → 10). Carry over to the tenths place.
- Result: 4.60
8. 5.957
- Thousandths digit: 7 (greater than 5)
- Round up the hundredths place (5 → 6).
- Result: 5.96
9. 7.984
- Thousandths digit: 4 (less than 5)
- Keep the hundredths place as it is.
- Result: 7.98
10. 8.346
- Thousandths digit: 6 (greater than 5)
- Round up the hundredths place (4 → 5).
- Result: 8.35
#### Part 2: Round each number to the nearest hundredth
1. 4.4865
- Thousandths digit: 6 (greater than 5)
- Round up the hundredths place (8 → 9).
- Result: 4.49
2. 2.9893
- Thousandths digit: 9 (greater than 5)
- Round up the hundredths place (8 → 9).
- Result: 2.99
3. 2.5715
- Thousandths digit: 1 (less than 5)
- Keep the hundredths place as it is.
- Result: 2.57
4. 9.2463
- Thousandths digit: 6 (greater than 5)
- Round up the hundredths place (4 → 5).
- Result: 9.25
5. 8.4679
- Thousandths digit: 7 (greater than 5)
- Round up the hundredths place (6 → 7).
- Result: 8.47
6. 2.3293
- Thousandths digit: 9 (greater than 5)
- Round up the hundredths place (2 → 3).
- Result: 2.33
7. 6.5622
- Thousandths digit: 2 (less than 5)
- Keep the hundredths place as it is.
- Result: 6.56
8. 4.6913
- Thousandths digit: 1 (less than 5)
- Keep the hundredths place as it is.
- Result: 4.69
9. 1.4535
- Thousandths digit: 3 (less than 5)
- Keep the hundredths place as it is.
- Result: 1.45
10. 5.5669
- Thousandths digit: 6 (greater than 5)
- Round up the hundredths place (6 → 7).
- Result: 5.57
Final Answer:
```
Part 1:
1) 2.66
2) 2.29
3) 2.46
4) 7.52
5) 1.98
6) 1.39
7) 4.60
8) 5.96
9) 7.98
10) 8.35
Part 2:
1) 4.49
2) 2.99
3) 2.57
4) 9.25
5) 8.47
6) 2.33
7) 6.56
8) 4.69
9) 1.45
10) 5.57
```
$$
\boxed{
\begin{array}{ll}
\text{Part 1:} & \text{Part 2:} \\
1) \, 2.66 & 1) \, 4.49 \\
2) \, 2.29 & 2) \, 2.99 \\
3) \, 2.46 & 3) \, 2.57 \\
4) \, 7.52 & 4) \, 9.25 \\
5) \, 1.98 & 5) \, 8.47 \\
6) \, 1.39 & 6) \, 2.33 \\
7) \, 4.60 & 7) \, 6.56 \\
8) \, 5.96 & 8) \, 4.69 \\
9) \, 7.98 & 9) \, 1.45 \\
10) \, 8.35 & 10) \, 5.57 \\
\end{array}
}
$$
Parent Tip: Review the logic above to help your child master the concept of rounding decimal numbers worksheet.