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Rounding Decimals to Tenth, Hundredth, and Thousandth Places

Rounding decimals: illustration of a decimal number

Rounding decimals is a simple way to estimate values without having to write countless numbers to the right of the decimal point. You can round decimals to the nearest whole number or the nearest tenth, nearest hundredth, or nearest thousandths decimal. We’ll show you how.

Rounding Decimals: How It Works

Let's explain how rounding numbers with decimals works using the following value:

Decimal number example

This decimal has a ten-thousand place value, meaning that there are four numbers to the right of the decimal point. We want to round this to the thousandths place.

When you round decimal numbers, you must decide whether to round up or down by looking at the last last digit of the decimal number. If the digit is a value of 5 or above, you will round up. Since the last digit in this example is 9, we will round the place to its left, the thousandths place, up to 1:

Rounding decimals: rounding to the thousdanth place

If the last digit in the decimal number is 4 or lower, we will "round down" by keeping the next left digit the same. Let's use the below example to round from the hundredths place (two decimal places) to the tenths place (one decimal place to the left):

Decimal number example

Since the value of 3 is lower than 5, we will round down to the tenths digit of 2:

Rounding decimals: rounding to the tenth place

Here are some other examples of rounding down to the nearest whole number or decimal place value:

Rounding to the nearest whole number

You Need to Know How Rounding Decimals Works

When rounding decimals, all you have to do is determine whether the last digit of the decimal means the number to its left should be rounded up or down. This depends on whether its value is 5 or higher.

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