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In many cases, you need to round the decimal to the nearest tenth to make the calculation easier. Once you understand how to find the places of tenths and percentages, the process is the same as rounding whole numbers.
Steps
Round to nearest tenth
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Review how to round numbers over a series of numbers (optional). Let’s forget about decimals for a while, and try rounding to the tens place instead. Write a sequence of numbers from 10 to 20. Numbers to the left of the sequence (such as 13 or 11) that are closer to 10 should be rounded to 10. Numbers to the right of the sequence (such as 16 or 17) are closer to 10. More than 20 numbers will be rounded to 20. Rounding decimals may seem confusing, but it’s actually the same thing. You can rewrite the sequence to “0,10, 0.11, 0.12, …, 0.19, 0.2” and you’ve got a sequence of numbers to round to the nearest tenth. . [1] X Research Source
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Write a number with a decimal point. It doesn’t matter how many digits come after the decimal point.
- Example 1: Round the number 7.86 to the nearest tenth.
- Example 2: Round the number 247.137 to the nearest tenth.
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Find the tenth position. It’s the position just to the right of the decimal point. [2] X Research Source After rounding to the nearest tenth, this will be the last digit of your number. Now you just need to underline this number.
- Example 1: Out of 7.86, the digit 8 is in the tenth place.
- Example 2: Out of 247,137, the digit 1 stands in the tenth place.
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Let’s look at the percentage position. The percent position is the digit to the right of the decimal point. This digit tells you whether to round up or round down.
- Example 1: Out of 7.86, the digit 6 stands in the percentile place.
- Example 2: Out of 247,137, the digit 3 stands in the percentile place.
- The digits to the right of the percentage digit have no meaning when you round to the nearest tenth. They represent small “balances” to make a difference.
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Round up if the percentage digit is 5 or more. Is the percent digit 5, 6, 7, 8, or 9? If so, “round up” by adding 1 to the digit in the tenth place. Ignore all digits after the tenth place and you find the result.
- Example 1: The number 7.86 has the digit 6 in the percent position. Round up by adding 1 to the digit in the tenths to get 7.9 , omitting all the digits to the right.
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Round down if the digit is in the 4th percentile or less. Is the percent digit 4, 3, 2, 1, or 0? If correct, “round down” by keeping the tenths. Remove only the percentage digit and other digits to the right.
- Example 2: The number 247,137 has the digit 3 in the percent position. Let’s round down by removing all the digits after the tenth place, we get 247.1 .
Special cases
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Round down to zero to the tenth place. If the digit in the tenths is zero and you have to round down, keep the zero in your result. For example, rounding 4.03 to the nearest tenth, we get 4.0 . This way the reader knows the accuracy of the number. Just writing the number “4” isn’t wrong, but it takes away the fact that you’re calculating decimals.
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Round negative numbers. Basically, the way to do it is the same as rounding positive numbers. You do it the same way and always keep the minus sign in the result. For example, -12.56 rounds to -12.6, and -400.333 rounds to -400.3.
- Be careful when using the phrases “round down” and “round up”. If you look at the range of negative numbers, you’ll see that rounding from -12.56 to -12.6 shifts to the left, which is “rounding down” even if you increase the tenths by 1.
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Round off multi-digit numbers. Don’t get confused by extremely long numbers. The principle is still the same. Find the tenth place and determine whether to round up or round down. After rounding, all digits to the left of the tenth place are preserved, and digits to the right of the tenth place are deleted. Here are three examples:
- 7192403242401.29 is rounded to 7192403242401.3
- 5.0620138424107 rounded to 5.1
- 9000.30001 is rounded to 9000.3
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Preserve non-digit numbers in the percentiles. Does the given number end at the tenth digit, with no other digits after that? This number has been rounded to the nearest tenth so you don’t need to do anything. The textbook may be trying to test you.
- For example, the number 1509.2 has been rounded to the nearest tenth.
Advice
- Have your teachers or textbooks ever taught you to round down from 5 instead of up? This isn’t common, but there’s nothing wrong with it either. Since the number 5 is in the middle of the two numbers, rounding either way is correct. [3] X Research Sources
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wikiHow is a “wiki” site, which means that many of the articles here are written by multiple authors. To create this article, volunteer authors have edited and improved the article over time.
This article has been viewed 21,409 times.
In many cases, you need to round the decimal to the nearest tenth to make the calculation easier. Once you understand how to find the places of tenths and percentages, the process is the same as rounding whole numbers.
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