Rounding Numbers Calculator (2024)

Calculator Use

Rounding calculator to round numbers up or down to any decimal place. Choose ones to round a number to the nearest dollar. Choose hundredths to round an amount to the nearest cent.

Rounding Numbers

Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274:

  • Rounding to the nearest hundred is 800
  • Rounding to the nearest ten is 840
  • Rounding to the nearest one is 838
  • Rounding to the nearest tenth is 838.3
  • Rounding to the nearest hundredth is 838.27

Basic Rules of Rounding

When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:

  • Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.
  • Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.
  • If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.
  • If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.

New Content: Rounding Method of this Calculator

This Rounding Numbers Calculator uses the method called Round Half Away From Zero. An explanation of this and other rounding methods can be found on our Rounding Methods Calculator page.

Rounding Half Away From Zero

Round halfway values away from zero. When the digit to the right is 5, this is the halfway value between rounding up or down. For the following examples let's round to the ones place for values between 2 and 3 where the halfway point is 2.5. In this method, whether you round a positive or a negative number, the absolute value of the results are the same. You can see this symmetry around zero by comparing the positive and negative results. If your number to round is negative you can round the digits as you would for rounding a positive number.

For positive numbers:

Numbers less than the halfway point between 2 and 3, which is 2.5, round down, toward 0. Numbers greater than or equal to the halfway point between 2 and 3 round up, away from 0.

  • 2.4 rounds down to 2
  • 2.48 rounds down to 2
  • 2.5 rounds up to 3 halfway, up and away from 0
  • 2.52 rounds up to 3
  • 2.6 rounds up to 3

For negative numbers:

Numbers greater than the halfway point between -3 and -2, which is -2.5, round up, toward 0. Numbers less than or equal to the halfway point of -2.5 round down, away from 0.

  • -2.4 rounds up to -2
  • -2.48 rounds up to -2
  • -2.5 rounds down to -3 halfway, down and away from 0
  • -2.52 rounds down to -3
  • -2.6 rounds down to -3

Round to the Nearest Hundred: 3250

  • Identify the hundreds digit: the 2 in 3250
  • Identify the next smallest place value: the 5 in 3250
  • Is that digit greater than or equal to five? Yes, so round up.
  • Increase the hundreds digit by one, so 2 becomes 3. Every digit after becomes a zero.

3250 rounded to the nearest hundred is 3300

Round to the Nearest Ten: 323.5

  • Identify the tens digit: the 2 in 323.5
  • Identify the next smallest place value: the 3 in 323.5
  • Is that digit greater than or equal to five? No, so round down.
  • The tens digit stays the same at 2. Every digit after becomes a zero. Digits after the decimal point are dropped.

323.5 rounded to the nearest ten is 320

Round to the Nearest Ten: 499

  • Identify the tens digit: the first 9 in 499
  • Identify the next smallest place value: the second 9 in 499
  • Is that digit greater than or equal to five? Yes, so round up.
  • The tens digit increases by one. Since 9+1=10, you need to carry the 1 and add it to the digit in the hundreds place. Each digit after becomes a zero.

499 rounded to the nearest ten is 500

Round to the Nearest Tenth: 0.74

  • Identify the tenths digit: 7 in 0.74
  • Identify the next smallest place value: the 4 in 0.74
  • Is that digit greater than or equal to five? No, so round down.
  • The tenths digit stays the same at 7. Since the remaining digits are after the decimal point you just drop them.

0.74 rounded to the nearest tenth is 0.7

Round to the Nearest Hundredth: 3.141

  • Identify the hundredths digit: the 4 in 3.141
  • Identify the next smallest place value: the second 1 in 3.141
  • Is that digit greater than or equal to five? No, so round down.
  • The hundredths digit stays the same at 4. Drop the digits to the right of 4.

3.141 rounded to the nearest hundredth is 3.14

Related Calculators

To learn how to round a number to the nearest multiple see our Round to Nearest Multiple Calculator. Round to multiples of whole numbers or decimals such as tenths, hundredths, thousandths, etc.

Further Reading

About.com on How to Round Numbers

MathPlayground: How do you Round?

Math.com has several lessons on estimating and rounding.

Rounding Numbers Calculator (2024)

FAQs

How do you calculate rounding numbers? ›

Rounding numbers
  1. If this number is less than 5 (0, 1, 2, 3, 4) you leave your last digit as it is.
  2. If it is 5 or more (5, 6, 7, 8, 9) you increase the value of your last digit by one.
  3. Any digits after your place become zeros or are dropped off if they are to the right of the decimal point.

How do you round 9494.8349415 to 3 decimal places? ›

To round 9494.8349415 to 3 decimal places, look at the fourth decimal place. Since it is 8, we round up the third decimal place. Rounded to 3 decimal places, 9494.8349415 is 9494.835.

How do you round 82.684587348 to 4 decimal places? ›

To round 82.684587348 to 4 decimal places, we need to look at the digit in the fifth decimal place, which is 5. Since the digit to the right of it is greater than 5, we round up the fifth decimal place. Therefore, the number rounded to 4 decimal places is 82.6846.

What is the easiest way to round numbers? ›

Rules for Rounding
  1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...
  2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

What is 6.82245628434 rounded to 5 decimal places? ›

Final answer:

The number 6.82245628434 rounded to 5 decimal places is 6.82245.

How do you round 96.383041309 to 2 decimal places? ›

Explanation: To round the number 96.383041309 to 2 decimal places, we need to look at the third decimal place, which is 3 in this case. Since it is less than 5, we do not round up the second decimal place. Therefore, the number rounded to 2 decimal places is 96.38.

What is 0.9999 rounded to 3 decimal places? ›

Answer and Explanation:

Since it is also a 9, it rounds up to 10, which carries over to the 2 second digit, and then to the first. This means that 0.9999 rounded to three decimal places is 1.000.

How do you round 1.644853626 to the nearest 6th decimal digit? ›

Expert-Verified Answer

For rounding to the nearest 6th decimal digit, we look at the 7th digit (8) and round up if it is 5 or greater, resulting in 1.644854.

What is 3.84761 to 3 decimal places? ›

It is required to round off to 3 decimal place. Rounded to the nearest 0.001 or the Thousandths Place. Thus, the number 3.84761 become 3.848 after round off to 3 decimal place or thousandths place.

What is 74.9963 rounded to 2 decimal places? ›

When we want to round the number 74.9963 to 2 decimal places, we look at the third digit after the decimal point. Because this digit is a 6 which is greater than 5, we round the second digit after the decimal point up by one. Therefore, when you round the number 74.9963 to 2 decimal places, the answer is 75.00.

How do you round your answer to decimal places? ›

Rounding numbers to decimal places is shortening a decimal number to a given degree of accuracy. To do this we find the decimal place we wish to round to and look at the digit to the right of that number. If the number after the chosen accuracy is a 5 or more than 5, we round up. If it is less than 5, we round down.

How do you round off 84? ›

We round off 84 as 80, correct to the nearest tens.

Here multiples of 10 nearer to 84 on two sides are 80 and 90. We see that, 84 - 80 = 4 and 90 - 84 = 6. Clearly 4 < 6, and this means that, 84 is closer to 80 than 90. Thus we round off 84 as 80, correct to the nearest tens.

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