Rounding Decimals Worksheets - Math Monks - Free Printable

Problem: Rounding Decimals Worksheet

The task is to round each number to the nearest tenth, hundredth, and thousandth as specified. Let's solve it step by step.

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#### Part 1: Round Each Number to the Nearest Tenth
To round a number to the nearest tenth:
- Look at the digit in the hundredths place (the second digit after the decimal point).
- If it is 5 or greater, round up the tenths place by 1.
- If it is less than 5, keep the tenths place as it is.

##### Solutions:
1. 8.326
- Hundredths digit: 2 (less than 5)
- Rounded: 8.3

2. 6.998
- Hundredths digit: 9 (greater than or equal to 5)
- Rounded: 7.0

3. 9.83
- Hundredths digit: 3 (less than 5)
- Rounded: 9.8

4. 51.711
- Hundredths digit: 1 (less than 5)
- Rounded: 51.7

5. 687.817
- Hundredths digit: 1 (less than 5)
- Rounded: 687.8

6. 19.07
- Hundredths digit: 7 (greater than or equal to 5)
- Rounded: 19.1

7. 432.080
- Hundredths digit: 8 (greater than or equal to 5)
- Rounded: 432.1

8. 483.37
- Hundredths digit: 7 (greater than or equal to 5)
- Rounded: 483.4

9. 59.42
- Hundredths digit: 2 (less than 5)
- Rounded: 59.4

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#### Part 2: Round Each Number to the Nearest Hundredth
To round a number 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.

##### Solutions:
1. 84.744
- Thousandths digit: 4 (less than 5)
- Rounded: 84.74

2. 6.883
- Thousandths digit: 3 (less than 5)
- Rounded: 6.88

3. 308.817
- Thousandths digit: 7 (greater than or equal to 5)
- Rounded: 308.82

4. 66.663
- Thousandths digit: 3 (less than 5)
- Rounded: 66.66

5. 399.839
- Thousandths digit: 9 (greater than or equal to 5)
- Rounded: 399.84

6. 409.723
- Thousandths digit: 3 (less than 5)
- Rounded: 409.72

7. 7.450
- Thousandths digit: 0 (less than 5)
- Rounded: 7.45

8. 117.855
- Thousandths digit: 5 (greater than or equal to 5)
- Rounded: 117.86

9. 66.935
- Thousandths digit: 5 (greater than or equal to 5)
- Rounded: 66.94

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#### Part 3: Round Each Number to the Nearest Thousandth
To round a number to the nearest thousandth:
- Look at the digit in the ten-thousandths place (the fourth digit after the decimal point).
- If it is 5 or greater, round up the thousandths place by 1.
- If it is less than 5, keep the thousandths place as it is.

##### Solutions:
1. 5.0016
- Ten-thousandths digit: 6 (greater than or equal to 5)
- Rounded: 5.002

2. 6.1087
- Ten-thousandths digit: 7 (greater than or equal to 5)
- Rounded: 6.109

3. 56.3008
- Ten-thousandths digit: 8 (greater than or equal to 5)
- Rounded: 56.301

4. 106.7128
- Ten-thousandths digit: 8 (greater than or equal to 5)
- Rounded: 106.713

5. 4.6687
- Ten-thousandths digit: 7 (greater than or equal to 5)
- Rounded: 4.669

6. 49.9376
- Ten-thousandths digit: 6 (greater than or equal to 5)
- Rounded: 49.938

7. 856.3981
- Ten-thousandths digit: 1 (less than 5)
- Rounded: 856.398

8. 69.6009
- Ten-thousandths digit: 9 (greater than or equal to 5)
- Rounded: 69.601

9. 73.7896
- Ten-thousandths digit: 6 (greater than or equal to 5)
- Rounded: 73.790

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Final Answer:

\[
\boxed{
\begin{array}{lll}
\text{Nearest Tenth:} & \text{Nearest Hundredth:} & \text{Nearest Thousandth:} \\
8.3 & 84.74 & 5.002 \\
7.0 & 6.88 & 6.109 \\
9.8 & 308.82 & 56.301 \\
51.7 & 66.66 & 106.713 \\
687.8 & 399.84 & 4.669 \\
19.1 & 409.72 & 49.938 \\
432.1 & 7.45 & 856.398 \\
483.4 & 117.86 & 69.601 \\
59.4 & 66.94 & 73.790 \\
\end{array}
}
\]