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

Tenth = 1 decimal place
Hundredth = 2 decimal places
Thousandth = 3 decimal places

Look at the digit immediately after the target place.

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#### 1) 2.16 (tenth)
- Target: tenths place = 1
- Next digit (hundredths) = 6 ≥ 5 → round up
- 2.16 → 2.2

#### 2) 5.08 (tenth)
- Tenths = 0
- Hundredths = 8 ≥ 5 → round up
- 5.08 → 5.1

#### 3) 850.05 (tenth)
- Tenths = 0
- Hundredths = 5 → round up
- 850.05 → 850.1

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

#### 5) 6.9811 (tenth)
- Tenths = 9
- Hundredths = 8 ≥ 5 → round up
- But 9 + 1 = 10 → carry over
- 6.9811 → 7.0

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#### 6) 7.418 (hundredth)
- Hundredths = 1
- Thousandths = 8 ≥ 5 → round up
- 7.418 → 7.42

#### 7) 11.164 (hundredth)
- Hundredths = 6
- Thousandths = 4 < 5 → round down
- 11.164 → 11.16

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

#### 9) 42.9966 (hundredth)
- Hundredths = 9
- Thousandths = 6 ≥ 5 → round up
- 9 + 1 = 10 → carry over
- 42.9966 → 43.00

#### 10) 4.12059 (thousandth)
- Thousandths = 0
- Ten-thousandths = 5 ≥ 5 → round up
- 0 + 1 = 1 → 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 Summary:

#### 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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