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 rounding rules.

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Rounding Rules Recap:

- To round to a place value, look at the digit immediately to the right of that place.
- If it is 5 or greater, round up.
- If it is less than 5, round down (keep the digit the same).
- For decimals, the same rule applies, but we focus on decimal places.

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## ✔ Section A: Round to nearest 10, 100, or 1000

Round to nearest 10:

Look at the ones digit.

1) 35 → to 10:
Ones digit = 5 → round up.
40

2) 14 → to 10:
Ones digit = 4 < 5 → round down.
10

3) 521 → to 10:
Ones digit = 1 < 5 → round down.
520

4) 4,108 → to 10:
Ones digit = 8 ≥ 5 → round up.
4,110

5) 197 → to 10:
Ones digit = 7 ≥ 5 → round up.
200

Round to nearest 100:

Look at the tens digit.

6) 715 → to 100:
Tens digit = 1 < 5 → round down.
700

7) 962 → to 100:
Tens digit = 6 ≥ 5 → round up.
1,000

8) 1,841 → to 100:
Tens digit = 4 < 5 → round down.
1,800

Round to nearest 1,000:

Look at the hundreds digit.

9) 2,977 → to 1,000:
Hundreds digit = 9 ≥ 5 → round up.
3,000

10) 18,814 → to 1,000:
Hundreds digit = 8 ≥ 5 → round up.
19,000

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✔ Section B: Round to nearest whole number

Look at the tenths digit (first decimal place).

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 C: Round to indicated decimal place

#### Tenth (1 decimal place): Look at hundredths digit (second decimal)

1) 2.16 → tenth:
Hundredths = 6 ≥ 5 → round up → 2.2

2) 5.08 → tenth:
Hundredths = 8 ≥ 5 → round up → 5.1

3) 850.05 → tenth:
Hundredths = 5 → round up → 850.1

4) 3.4729 → tenth:
Hundredths = 7 ≥ 5 → round up → 3.5

5) 6.9811 → tenth:
Hundredths = 8 ≥ 5 → round up → 7.0

> Note: 6.9811 rounds to 7.0 because the .9 rounds up to 10 in the tenths place, so it becomes 7.0

#### Hundredth (2 decimal places): Look at thousandths digit (third decimal)

6) 7.418 → hundredth:
Thousandths = 8 ≥ 5 → round up → 7.42

7) 11.164 → hundredth:
Thousandths = 4 < 5 → round down → 11.16

8) 0.85512 → hundredth:
Thousandths = 5 → round up → 0.86

9) 42.9966 → hundredth:
Thousandths = 6 ≥ 5 → round up → 43.00

> Note: 42.99 + 0.01 = 43.00

10) 4.12059 → thousandth (3 decimal places):
Look at ten-thousandths digit (4th decimal) = 5 → round up
So, 4.120 → 4.121

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## ✔ Final Answers:

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:
This worksheet practices rounding whole numbers and decimals using standard rounding rules. The key is identifying the correct digit to examine and applying the "5 or above, round up" rule correctly.

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