This guide should help you by explaining the procedure for how to round to the nearest tenth, hundredth, and thousandths. When it comes to rounding to the nearest tenth, hundredth, or thousandth, it is logical that we should round decimal numbers. Here on this page, you can see many solved examples following our rules which are listed below in the text.
In addition to the solved examples in the form of text on the page itself, each reader can also see video materials that contain even more examples and materials that will help you to accurately and precisely round decimal numbers.
Well, let’s start with the rules and examples for rounding decimal numbers to the nearest tenth, hundredth, or thousandth.
Round To The Nearest Tenth
When rounding a decimal number to the nearest tenth, we suggest you follow the following rules:
First, notice the decimal number that we need to round and the digit that is in the place of the first decimal (tenth).
Then notice the digit that is in the place of the second decimal (hundredth). Moreover, if this digit is less than 4, we do not change the digit in the first decimal place. But if the digit in the second decimal place is equal to or greater than 5, we increase the first decimal digit by 1.
Logically, as soon as we round to a tenth, the decimal number that we will write at the end will have only one decimal place (unless the digit of the tenths is zero, so the decimal number after rounding can be a whole number).
First Example
Example 1: Round the decimal number to the nearest tenth!
It is immediately seen that the decimal number that we need to round to the nearest tenth has the digit 2 in the tenth place (first decimal place), while the hundredth place has the digit 6 (second decimal place).
Following the rules indicated above, we draw the following conclusion. As soon as the digit in the hundredth place is greater than the number 5, we increase the digit in the tenth place by 1 (2+1=3)! After the complete solution the final result looks like this:
Round To The Nearest Hundredth
When rounding a decimal number to the nearest hundredth, we suggest you follow the following rules:
First, notice the decimal number that we need to round and the digit that is in the place of the second decimal (hundredth).
Then notice the digit that is in the place of the third decimal (thousandth). Moreover, if this digit is less than 4, we do not change the digit in the first decimal place. But if the digit in the third decimal place is equal to or greater than 5, we increase the second decimal digit by 1.
Logically, as soon as we round to hundredths, the decimal number that we will write at the end should have exactly two decimal places (unless the hundredths digit is zero, so the decimal number after rounding can have only one decimal place; If both the tenths and hundredths are equal to zero, then the number after rounding can be an integer).
Second Example
Example 2: Round the decimal number to the nearest hundredth!
It is immediately seen that the decimal number that we need to round to the nearest hundredth has the number 4 in the hundredth place (second decimal place), while the thousandth place has the number 3 (third decimal place).
Following the rules indicated above, we draw the following conclusion. As soon as the digit in the thousandth place is less than the number 5, the digit in the hundredth place remains the same (we do not change it)! After the complete solution the final result looks like this:
Round To The Nearest Thousandths
When rounding a decimal number to the nearest thousandth, we suggest you follow the following rules:
First, notice the decimal number that we need to round and the digit that is in the third decimal place (thousandths).
Then notice the digit that is in the place of the fourth decimal place (ten thousandths). Moreover, if this digit is less than 4, we do not change the digit to the third decimal place. But if the digit in the fourth decimal place is equal to or greater than 5, we increase the third decimal digit by 1.
Logically, as soon as we round to the thousandth, the decimal number that we will write at the end will have three decimal places (unless the digit of the thousandth is zero, so the decimal number after rounding can only have two decimals; If the tenth, thousandths, and hundredths are equal to zero, then the number after rounding can be even a whole number or have only one decimal place).
Third example
Example 3: Round the decimal number to the nearest thousandth!
It is immediately seen that the decimal number that we need to round to the nearest thousandth place has the number 7 in the thousandth place (third decimal place), while the ten thousandth place has the number 5 (fourth decimal place).
Following the rules indicated above, we draw the following conclusion. As soon as the digit in the ten thousandth place is equal to the number 5, we increase the digit in the thousandth place by 1 (7+1=8)! After the complete solution the final result looks like this:
If you are still reading the text and carefully analyzing the examples of how to round to the nearest tenth, hundredth, and thousandths, you probably understood that we can perform a generalization of the rule for rounding decimal numbers, regardless of which exact decimal place we want to round.
Below you can check even more video examples on how to round to the nearest tenth, hundredth, and thousandths. These video examples will help you complete the generalization procedure! Check it below:
It is always true that we should pay attention to the decimal place that is located to the right of the place where we want to round the decimal number.
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