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Rounding: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">RoundingRounding: Definition and ExampleTable of ContentsDefinition of Rounding

Rounding off is a mathematical technique for estimating a number by approximating it to its nearest value at a specific place value. When we round a number, we're essentially simplifying it to make calculations easier while maintaining a reasonable level of accuracy. Rounding is widely used in everyday situations where precise values aren't necessary, such as when quickly estimating costs or measurements.

Different numbers require different rounding strategies based on their type. For whole numbers, we round to the nearest ten, hundred, thousand, or other place values by examining the digit to the right of the target place. For decimal numbers, the same principle applies — we look at the digit immediately to the right of our target place. In both cases, if this digit is less than 5, we round down (keep the target digit unchanged); if it's 5 or greater, we round up (increase the target digit by 1).

Examples of Rounding Example 1: Rounding Whole Numbers to the Nearest Ten Problem:

Round the following numbers to the nearest ten:

5,499 3,453 4,405 Step-by-step solution:

For 5,499:

Step 1, identify the digit in the units place: 9 Step 2, when rounding to the nearest ten, examine the units digit. Step 3, since 9 is greater than 5, we round up. Step 4, increase the tens digit by 1 (9 becomes 10). Step 5, replace the units place with 0. Therefore, 5,499 rounded to the nearest ten is 5,500.

For 3,453:

Step 1, identify the digit in the units place: 3 Step 2, since 3 is less than 5, we round down. Step 3, keep the tens digit unchanged. Step 4, replace the units place with 0. Therefore, 3,453 rounded to the nearest ten is 3,450.

For 4,405:

Step 1, identify the digit in the units place: 5 Step 2, since 5 is exactly 5, we round up. Step 3, increase the tens digit by 1 (0 becomes 1). Step 4, replace the units place with 0. Therefore, 4,405 rounded to the nearest ten is 4,410. Example 2: Rounding Decimals to the Nearest Hundredth Problem:

Round the following numbers to the nearest hundredth:

2.656 2.305 3.234 Step-by-step solution:

For 2.656:

Step 1, identify the digit in the thousandths place (one place after our target): 6 Step 2, when rounding to the nearest hundredth, look at the thousandths digit. Step 3, since 6 is greater than 5, we round up. Step 4, increase the hundredths digit by 1 (5 becomes 6). Step 5, drop all digits after the hundredths place. Therefore, 2.656 rounded to the nearest hundredth is 2.66.

For 2.305:

Step 1, identify the digit in the thousandths place: 5 Step 2, since 5 is exactly 5, we round up. Step 3, increase the hundredths digit by 1 (0 becomes 1). Step 4, drop all digits after the hundredths place. Therefore, 2.305 rounded to the nearest hundredth is 2.31.

For 3.234:

Step 1, identify the digit in the thousandths place: 4 Step 2, since 4 is less than 5, we round down. Step 3, keep the hundredths digit unchanged. Step 4, drop all digits after the hundredths place. Therefore, 3.234 rounded to the nearest hundredth is 3.23. Example 3: Rounding to the Nearest Thousand Problem:

Round the following numbers to the nearest thousand:

44,590 66,235 Step-by-step solution:

For 44,590:

Step 1, identify the digit in the hundreds place: 5 Step 2, when rounding to the nearest thousand, examine the hundreds digit. Step 3, since 5 is exactly 5, we round up. Step 4, increase the thousands digit by 1 (4 becomes 5). Step 5, replace all digits after the thousands place with 0. Therefore, 44,590 rounded to the nearest thousand is 45,000.

For 66,235:

Step 1, identify the digit in the hundreds place: 2 Step 2, since 2 is less than 5, we round down. Step 3, keep the thousands digit unchanged. Step 4, replace all digits after the thousands place with 0. Therefore, 66,235 rounded to the nearest thousand is 66,000. Comments(9)GGamerZackNovember 4, 2025I've used this rounding def for my students. It's super clear! The examples really helped them grasp the concept. Thanks!

AAnalystBobNovember 4, 2025This rounding glossary is a game-changer! It's helped my students grasp the concept easily. Thanks for the clear examples!

CCashierWaltNovember 4, 2025This rounding glossary is a lifesaver! I've used it to help my students grasp rounding. Clear examples made it easy for them to understand.

MCMs. CarterSeptember 17, 2025I’ve been using this page to help my kids understand rounding, and the examples made it so much easier for them! The step-by-step approach is super clear—great resource for parents and teachers!

MCMs. CarterSeptember 9, 2025I’ve used the rounding examples here to help my kids with their math homework, and it’s been a game-changer! The step-by-step solutions made it so much easier to explain. Thanks for the clear breakdown!

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