Math worksheet for rounding decimals to various place values.

Let's solve each part of the "Round Up or Round Down" worksheet step by step. We’ll round each decimal according to the instructions and indicate whether we had to round up or round down.

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A) Round each decimal to the nearest whole number

We look at the tenths place (the first digit after the decimal).
- If it's 5 or more, round up.
- If it's less than 5, round down.

1) 31.3
- Tenths digit: 3 → less than 5 → round down
- Answer: 31, round down

2) 52.65
- Tenths digit: 6 → 6 ≥ 5 → round up
- Answer: 53, round up

3) 9.98
- Tenths digit: 9 → 9 ≥ 5 → round up
- Answer: 10, round up

4) 12.4
- Tenths digit: 4 → less than 5 → round down
- Answer: 12, round down

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B) Round each decimal to the nearest tenth

We look at the hundredths place (second digit after decimal).
- If it's 5 or more, round up the tenths place.
- If it's less than 5, keep the tenths place as is.

1) 7.23
- Hundredths digit: 3 → less than 5 → round down
- Answer: 7.2, round down

2) 93.061
- Hundredths digit: 6 → 6 ≥ 5 → round up
- Tenths digit is 0 → becomes 1 → 93.1
- Answer: 93.1, round up

3) 26.124
- Hundredths digit: 2 → less than 5 → round down
- Answer: 26.1, round down

4) 34.95
- Hundredths digit: 5 → 5 ≥ 5 → round up
- Tenths digit is 9 → rounding up makes it 10 → so 34.9 + 0.1 = 35.0
- Answer: 35.0, round up

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C) Round each decimal to the nearest hundredth

Look at the thousandths place (third digit after decimal).
- If ≥ 5, round up the hundredths digit.
- If < 5, keep it.

1) 57.809
- Thousandths digit: 9 → 9 ≥ 5 → round up
- Hundredths digit is 0 → becomes 1 → 57.81
- Answer: 57.81, round up

2) 86.1007
- Thousandths digit: 0 → less than 5 → round down
- Answer: 86.10, round down

3) 70.5634
- Thousandths digit: 3 → less than 5 → round down
- Answer: 70.56, round down

4) 2.725
- Thousandths digit: 5 → 5 ≥ 5 → round up
- Hundredths digit is 2 → becomes 3 → 2.73
- Answer: 2.73, round up

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D) Round each decimal to the nearest thousandth

Look at the ten-thousandths place (fourth digit after decimal).
- If ≥ 5, round up the thousandths digit.
- If < 5, keep it.

1) 84.2195
- Ten-thousandths digit: 5 → 5 ≥ 5 → round up
- Thousandths digit is 9 → becomes 10 → carry over: 84.220
- Answer: 84.220, round up

2) 6.30648
- Ten-thousandths digit: 4 → less than 5 → round down
- Answer: 6.306, round down

3) 18.50063
- Ten-thousandths digit: 6 → 6 ≥ 5 → round up
- Thousandths digit is 0 → becomes 1 → 18.501
- Answer: 18.501, round up

4) 45.6582
- Ten-thousandths digit: 2 → less than 5 → round down
- Answer: 45.658, round down

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✔ Final Answers:

#### A) Nearest Whole Number
1) 31 → round down
2) 53 → round up
3) 10 → round up
4) 12 → round down

#### B) Nearest Tenth
1) 7.2 → round down
2) 93.1 → round up
3) 26.1 → round down
4) 35.0 → round up

#### C) Nearest Hundredth
1) 57.81 → round up
2) 86.10 → round down
3) 70.56 → round down
4) 2.73 → round up

#### D) Nearest Thousandth
1) 84.220 → round up
2) 6.306 → round down
3) 18.501 → round up
4) 45.658 → round down

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Let me know if you'd like this formatted as a printable answer sheet!