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

Here are the step-by-step solutions for the rounding problems on the worksheet.

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

Rule: Look at the digit immediately to the right of the place you are rounding to.
* If it is 0, 1, 2, 3, or 4, round down (keep the digit the same).
* If it is 5, 6, 7, 8, or 9, round up (add 1 to the digit).

1. 35 (to 10): Look at the ones digit (5). Since it is 5, round up.
* Answer: 40
2. 14 (to 10): Look at the ones digit (4). Since it is 4, round down.
* Answer: 10
3. 521 (to 10): Look at the ones digit (1). Since it is 1, round down.
* Answer: 520
4. 4,108 (to 10): Look at the ones digit (8). Since it is 8, round up.
* Answer: 4,110
5. 197 (to 10): Look at the ones digit (7). Since it is 7, round up. This changes the 9 to a 10, so the 1 becomes a 2.
* Answer: 200
6. 715 (to 100): Look at the tens digit (1). Since it is 1, round down.
* Answer: 700
7. 962 (to 100): Look at the tens digit (6). Since it is 6, round up.
* Answer: 1,000
8. 1,841 (to 100): Look at the tens digit (4). Since it is 4, round down.
* Answer: 1,800
9. 2,977 (to 1,000): Look at the hundreds digit (9). Since it is 9, round up.
* Answer: 3,000
10. 18,814 (to 1,000): Look at the hundreds digit (8). Since it is 8, round up.
* Answer: 19,000

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Section B: Round to the nearest whole number

Rule: Look at the first digit after the decimal point (the tenths place).
* If it is less than 5, keep the whole number the same.
* If it is 5 or more, add 1 to the whole number.

1. 0.6: The digit after the dot is 6 (round up).
* Answer: 1
2. 0.19: The digit after the dot is 1 (round down).
* Answer: 0
3. 1.7: The digit after the dot is 7 (round up).
* Answer: 2
4. 5.3: The digit after the dot is 3 (round down).
* Answer: 5
5. 4.81: The digit after the dot is 8 (round up).
* Answer: 5
6. 0.219: The digit after the dot is 2 (round down).
* Answer: 0
7. 18.086: The digit after the dot is 0 (round down).
* Answer: 18
8. 299.5: The digit after the dot is 5 (round up).
* Answer: 300
9. 783.444: The digit after the dot is 4 (round down).
* Answer: 783
10. 999.55123: The digit after the dot is 5 (round up).
* Answer: 1,000

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Section C: Round to the decimal place indicated

Rule: Look at the digit immediately to the right of the place you are rounding to.
* If it is 0-4, keep the target digit.
* If it is 5-9, add 1 to the target digit.

1. 2.16 (tenth): Look at the hundredths digit (6). Round up the 1 to a 2.
* Answer: 2.2
2. 5.08 (tenth): Look at the hundredths digit (8). Round up the 0 to a 1.
* Answer: 5.1
3. 850.05 (tenth): Look at the hundredths digit (5). Round up the 0 to a 1.
* Answer: 850.1
4. 3.4729 (tenth): Look at the hundredths digit (7). Round up the 4 to a 5.
* Answer: 3.5
5. 6.9811 (tenth): Look at the hundredths digit (8). Round up the 9. (9 becomes 10, carry the 1).
* Answer: 7.0
6. 7.418 (hundredth): Look at the thousandths digit (8). Round up the 1 to a 2.
* Answer: 7.42
7. 11.164 (hundredth): Look at the thousandths digit (4). Keep the 6.
* Answer: 11.16
8. 0.85512 (hundredth): Look at the thousandths digit (5). Round up the 5 to a 6.
* Answer: 0.86
9. 42.9966 (hundredth): Look at the thousandths digit (6). Round up the 9 to a 10 (carry over).
* Answer: 43.00
10. 4.12059 (thousandth): Look at the ten-thousandths digit (5). Round up the 0 to a 1.
* Answer: 4.121

Final Answer:
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