Content

• Steps
• Advice

In many cases, you need to round a decimal to the nearest tenth to make the calculation easier. Once you understand how to find tenths and percentages, the procedure is the same as rounding an integer.

Steps

Part 1 of 2: Round to the nearest tenth

1. 

   Review how to round numbers over a series (optional). Let's forget about the decimal for a while, instead try rounding to the tens. Write a sequence between 10 and 20. Numbers to the left of the sequence (like 13 or 11) closer to 10 should be rounded to 10. Numbers on the right half of the sequence (like 16 or 17) are close to 20 more will be rounded to 20. Rounding out a decimal may seem confusing, but in fact the same way. You can rewrite the sequence to "0.10, 0.11, 0.12, ..., 0.19, 0.2" and you already have a sequence of numbers to round to the nearest tenth. .

2. 

   
   
   Write a number with a decimal point. It doesn't matter how many digits are after the decimal point.
   • Example 1: Rounds the number 7.86 to the nearest tenth.
   • Example 2: Rounds the number 247,137 to the nearest tenth.

3. 

   
   
   Find tenth spot. That is the position just to the right of the decimal point. 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 the number 7.86 8 tenth place.
   • Example 2: In the number 247,137, digit 1 tenth place.

4. 

   
   
   Let's look at the percent position. The percent position is the number to the right of the decimal point. This number tells you whether to round up or round down.
   • Example 1: Out of the number 7.86 6 standing in percentage position.
   • Example 2: In the number 247,137, digit 3 standing in percentage position.
   • Numbers to the right of the percentile don't make any sense when you round to the nearest tenth. They represent small "balance" to make a difference.

5. 

   Round up if the percentage digit is 5 or higher. Is the percentage 5, 6, 7, 8, or 9? If so, "round up" by adding 1 to the number in the tenth place. Ignore all the numbers after the tenth and you will find the result.
   • Example 1: The number 7.86 has the digit 6 in the percentile position. Round up by adding 1 to the tenth to be 7.9, remove all the digits to the right.

6. 

   Rounds down if the digit is at the 4 percentile position. Is the percent digit 4, 3, 2, 1, or 0? If correct, "round down" by keeping the tenth. Remove only the percentages and other digits that are to the right.
   • Example 2: The number 247,137 has the digit 3 in the percentage position. Let's round down by removing all the numbers after the tenth, we will 247,1.
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Part 2 of 2: Special cases

1. 

   Rounds down to zero in the tenth place. If the digit in tenth is zero and you have to round down, keep the zero in your results. For example, rounding a number 4,03 to the nearest tenth, we get it 4,0. This way helps readers know the accuracy of the numbers. Just writing the number "4" is not wrong, but it takes away the fact that you are calculating a decimal.

2. 

   Round negative numbers. Basically, the procedure is the same as rounding positive numbers. You do it the same way and always keep the minus sign in the results. 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 negative number, you will see that the rounding from -12.56 to -12.6 shifts left, which is "round down" even if you increase the tenth by 1.

3. 

   Round numbers with multiple digits. Don't get distracted by the extremely long numbers. The principle remains the same. Find the tenth position and determine whether to round up or round down. After rounding, all digits lie left the tenth position is kept intact, and the digits lie the right tenth positions will be deleted. Here are three examples:
   • 7192403242401.29 rounded to 7192403242401.3
   • 5.0620138424107 rounded to 5.1
   • 9000,30001 is rounded to 9000.3

4. 

   Keep non-digit numbers in the percentage position. Does the given number end at the tenth, without any other digits after that? This number has been rounded to the nearest tenth so you don't need to do anything. The textbook might be trying to test you out.
   • For example, the number 1509.2 has been rounded to the nearest tenth.
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Advice

• Your teacher or textbook used to teach rounding down from 5 instead of rounding up? This is uncommon, but there's nothing wrong with it. Since the number 5 is between two numbers, rounding in any way is correct.