# Rounding with Decimals

**To the Nearest**

**Whole**

When we round to the nearest whole, this means that we are rounding the ones place. The final answer will not have any decimals in it.

**123.45678**

In this example, the 3 is in the ones place and the 4 is in the tenths place.

If we are rounding to the nearest whole, we look to the tenths place to tell us what to do. If the number is 5, or above, we give it a shove. In other words, we would round the ones place up. If the tenths place is 4 or below, we let it go. This means that we leave the ones place as it is and just let all of the other numbers after it go away.

This is an easy to remember little rhyme, but let's see why. When we have a decimal of 5 or above in the tenths place, we are actually closer to the next whole number on the number line.

When the decimal is 4 or below, we are closer to the original value on the number line.

Here are some examples:

**1.)239.2391**

There is a 9 in the ones place and a 2 in the tenths place. The 2 tells us to leave the 9 alone.
The rounded answer is 239.

**2.)78.0341**

There is an 8 in the ones place and a 0 in the tenths place. The 0 tells us to leave the 8 alone. So the final answer is 78.

**3.)6712.832**

There is a 2 in the ones place and an 8 in the tenths place. The 8 tells us to round the 2 up to a 3. So the final answer is 6713.

**4.)8929.6512**

There is a 9 in the ones place and a 6 in the tenths place. The 6 tells us to round the 9 up. Having a 9 in the ones place can make things tricky. Instead, think of the number as 29. When we round the 29 up we get 30. So we will replace the 29 before the decimal with a 30.

8930 is the final answer.

8930 is the final answer.

**To the Nearest**

**Tenth**

We can use the same rules for rounding to different decimal places. Take a look at rounding to the nearest tenth.

**1.)532.941**

There is a 9 in the tenths place and a 4 in the hundredths place.

The 4 tells us to leave the 9 alone. 532.9 will be the final rounded answer.

The 4 tells us to leave the 9 alone. 532.9 will be the final rounded answer.

**2.)1294.77124**

There is a 7 in the tenths place and a 7 in the hundredths place. The 7 tells us to round the other 7 up to an 8. That gives us 1294.8 as a final answer.

**To the Nearest Hundredth**

**1.)9203.7**

**2**34There is a 2 in the hundredths place and a 3 in the thousandths. The 3 tells us to leave the 2 alone. Now we have 9203.7 as a final answer.

**2.)78129.6**

**9**8124
There is a 9 in the hundredths place and an 8 in the thousandths place. The 8 tells us to round the 9 up. Instead of thinking of rounding just the 9, we can think about rounding up the 69 to a 70. So the final answer would be 78129.70 after rounding.

**Let's Review:**

No matter what place value you are asked to round to, you can use these same steps to get your final answer. If the number directly after the place value you need to round to is 5 or above, you round up. If the number is 4 or below, you leave the number alone.

**Related Links:**

Math

Decimals

Decimals Place Value Worksheets

Factors