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Round a Number to the Nearest Whole Number or Integer
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Sometimes in real life, we can’t use decimals. For example, the number of people you are inviting to a party can’t be a decimal number. You can’t have 8.7 people, but you can have 8 or 9 people. Rounding to the nearest whole number is how we deal with problems like this. The table below shows the rules for whether you round up (from 4.56 to 5) or down (from 4.46 to 4).

 Tenths Place How to round to nearest whole number or integer Example 0, 1, 2, 3, 4 Keep the number in the one's place 17.4 Rounds to 17-3.4 rounds to -3 5, 6, 7, 8, 9 Increase the number in the one's place by 1 17.5 Rounds to 18-1.6 Rounds to -2
Rounding to the nearest whole number

### Practice Problems

1. Round $$2.3$$ to the nearest whole number. (
Solution
Solution: 2
Details:
To find our answer, start with a number line displaying only the numbers between 0 and 3. Magnify between points 2 and 3. Magnifying will show the decimals between 2 and 3. Next, find the 2.3. Finally, we compare the distances before and after 2.3. We find that 2.3 is closer to 2 and further away from 3. The correct answer is to round to 2.
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2. Round $$-0.8$$ to the nearest integer. (
Solution
Solution: $$-1$$
Details:
To find the answer, start with a number line displaying only the numbers between $$-1$$ and 1. Magnify between the points $$-1$$ and 0. Magnifying will show all the negative decimals between $$-1$$ and 0. Finally, compare the distances before and after $$-0.8$$. We find that $$-0.8$$ is closer to $$-1$$ and further away from 0. The correct answer is to round to $$-1$$.
)
3. Round $$72$$ to the nearest whole number. (
Solution
Solution:
72
)
4. Round $$2.94$$ to the nearest whole number. (
Video Solution
Solution: 3
Details:

(Video Source | Transcript)
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5. Round $$-24.49999$$ to the nearest integer. (
Solution
Solution:
$$-24$$
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6. Round $$42.0201$$ to the nearest whole number. (
Video Solution
Solution: 42
Details:

(Video Source | Transcript)
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