Rounding Whole Numbers and Decimals Mixed Practice Worksheet | PDF ... - Free Printable

Let's solve each section of the worksheet step by step and explain the reasoning behind rounding.

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Section A: Round to the nearest 10, 100, or 1000

Rule:
To round a number:
- Look at the digit to the right of the place you're rounding to.
- If it’s 5 or more, round up.
- If it’s less than 5, round down.

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#### 1) 35 (to 10)
- The ones digit is 5 → round up
- 35 → 40

#### 2) 14 (to 10)
- Ones digit is 4 < 5 → round down
- 14 → 10

#### 3) 521 (to 10)
- Ones digit is 1 < 5 → round down
- 521 → 520

#### 4) 4,108 (to 10)
- Ones digit is 8 ≥ 5 → round up
- 4,108 → 4,110

#### 5) 197 (to 10)
- Ones digit is 7 ≥ 5 → round up
- 197 → 200

#### 6) 715 (to 100)
- Tens digit is 1 < 5 → round down
- 715 → 700

#### 7) 962 (to 100)
- Tens digit is 6 ≥ 5 → round up
- 962 → 1,000

#### 8) 1,841 (to 100)
- Tens digit is 4 < 5 → round down
- 1,841 → 1,800

#### 9) 2,977 (to 1,000)
- Hundreds digit is 9 ≥ 5 → round up
- 2,977 → 3,000

#### 10) 18,814 (to 1,000)
- Hundreds digit is 8 ≥ 5 → round up
- 18,814 → 19,000

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✔ Section A Answers:
1. 40
2. 10
3. 520
4. 4,110
5. 200
6. 700
7. 1,000
8. 1,800
9. 3,000
10. 19,000

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Section B: Round to the nearest whole number

Rule:
Look at the tenths place (first digit after decimal):
- If ≥ 5 → round up
- If < 5 → round down

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#### 1) 0.6
- Tenths = 6 ≥ 5 → round up → 1

#### 2) 0.19
- Tenths = 1 < 5 → round down → 0

#### 3) 1.7
- Tenths = 7 ≥ 5 → round up → 2

#### 4) 5.3
- Tenths = 3 < 5 → round down → 5

#### 5) 4.81
- Tenths = 8 ≥ 5 → round up → 5

#### 6) 0.219
- Tenths = 2 < 5 → round down → 0

#### 7) 18.086
- Tenths = 0 < 5 → round down → 18

#### 8) 299.5
- Tenths = 5 → round up → 300

#### 9) 783.444
- Tenths = 4 < 5 → round down → 783

#### 10) 999.55123
- Tenths = 5 → round up → 1,000

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✔ Section B Answers:
1. 1
2. 0
3. 2
4. 5
5. 5
6. 0
7. 18
8. 300
9. 783
10. 1,000

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Section C: Round to the indicated decimal place

#### 1) 2.16 (tenth)
- Look at hundredths digit: 6 ≥ 5 → round up tenths
- 2.16 → 2.2

#### 2) 5.08 (tenth)
- Hundredths = 8 ≥ 5 → round up tenths
- 5.08 → 5.1

#### 3) 850.05 (tenth)
- Hundredths = 5 → round up
- 850.05 → 850.1

#### 4) 3.4729 (tenth)
- Hundredths = 7 ≥ 5 → round up tenths
- 3.4729 → 3.5

#### 5) 6.9811 (tenth)
- Hundredths = 8 ≥ 5 → round up tenths
- 6.9811 → 7.0 (since 6.9 + 0.1 = 7.0)

#### 6) 7.418 (hundredth)
- Thousandths = 8 ≥ 5 → round up hundredths
- 7.418 → 7.42

#### 7) 11.164 (hundredth)
- Thousandths = 4 < 5 → round down
- 11.164 → 11.16

#### 8) 0.85512 (hundredth)
- Thousandths = 5 → round up
- 0.85512 → 0.86

#### 9) 42.9966 (hundredth)
- Thousandths = 6 ≥ 5 → round up
- 42.9966 → 43.00 (because 42.99 + 0.01 = 43.00)

#### 10) 4.12059 (thousandth)
- Ten-thousandths = 5 → round up thousandths
- 4.12059 → 4.121

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✔ Section C Answers:
1. 2.2
2. 5.1
3. 850.1
4. 3.5
5. 7.0
6. 7.42
7. 11.16
8. 0.86
9. 43.00
10. 4.121

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✔ Final Answer Key:

#### Section A:
1. 40
2. 10
3. 520
4. 4,110
5. 200
6. 700
7. 1,000
8. 1,800
9. 3,000
10. 19,000

#### Section B:
1. 1
2. 0
3. 2
4. 5
5. 5
6. 0
7. 18
8. 300
9. 783
10. 1,000

#### Section C:
1. 2.2
2. 5.1
3. 850.1
4. 3.5
5. 7.0
6. 7.42
7. 11.16
8. 0.86
9. 43.00
10. 4.121

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🔍 Summary of Rounding Rules:

- Rounding whole numbers: Look at the digit to the right of the target place.
- Rounding decimals: Same rule applies — look at the next digit.
- "5 or above" → round up
- "Below 5" → round down
- Always consider place value carefully!

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