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. The final value depends on which place value you want to round to. 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.
  • 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 look at the ones place.
  • If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), leave the digit you want to round to as-is. Any digits after that number 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), 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 after the decimal point drop off. This is called rounding up.

How this Calculator Rounds Numbers

This Rounding Numbers Calculator uses the rounding method called Round Half Away From Zero. Visit the CalculatorSoup Rounding Methods Calculator for an explanation of this and other popular rounding methods.

Rounding Half Away From Zero

Round halfway values away from zero. When the digit to the right is 5 it's at the halfway point and is important in deciding whether to round 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 the Rounding Half Away from Zero method, whether you round a positive or a negative number, the absolute value of the result is the same because you're rounding away from 0.

Rounding 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

Rounding 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 last 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

Math.com has lessons on estimating and rounding.

Rounding Numbers Calculator (2024)

FAQs

How do you estimate the answer by rounding off the numbers? ›

Rounding off is a kind of estimation used quite often in mathematics. If the digit on the right side of the decimal (.) is less than 5, then we round off the number as per the digit present on the left side of the decimal.

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 to fix calculator giving wrong answer? ›

  1. Check your settings like are you in Radian instead of degree mode.
  2. Check if if your are in rounding numbers like you set it to two decimal places instead of floating point.
  3. Make sure you are inputting the equation correctly by make sure you put your parentheses in correctly your powers and other things.
Jul 25, 2021

How to stop a calculator from giving scientific notation? ›

On other TI models, press [2nd] [FLO]. The display switches to decimal notation. Casio models: Press [SHIFT][MODE][6:Fix]. You are then prompted to enter a number between 0 and 9.

Can a scientific calculator round? ›

Every calculator rounds numbers, as the results of calculations might not otherwise be displayable on the screen, and moreover calculations resulting in irrational numbers would go on forever if the machine were not programmed to quit after a certain point.

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 the golden rule for rounding numbers? ›

Rounding is a procedure for estimating. 5 is the golden rule: 0,1,2,3,4 round down, and 5,6,7,8 and 9 round up.

What is the rule for rounding off numbers? ›

Explain the Steps of Rounding Off

The general rule for rounding is as follows: If the number you're rounding has a 5, 6, 7, 8, or 9 after it, round it up. Example: 28 rounded to the nearest tens place equals 30. If the number you're rounding has a 0, 1, 2, 3, or 4 after it, round it down.

How do you estimate numbers by rounding? ›

The general rule for estimating is to look at the digit to the right of the digit you want to estimate. Estimating or rounding to the nearest whole number means looking at the digit to the right of the decimal. If you see a digit greater than 5, round up, and if it's less than 5, round down.

What is the rounding formula? ›

A formula using the ROUND function is formatted as ROUND(x,y) where x is the number to be rounded and y is the number of decimals places to round to. A y value of 0 (zero) rounds the number to the nearest integer. Positive y-values round to y digits to the right of the decimal places.

What is the strategy for rounding numbers? ›

Check the number in the place value one below the one you are rounding to. If it is greater than or equal to 5, round up. If it is less than 5, round down. Then, only write the numbers until you reach the place you are rounding to.

How to get rid of scientific notation on TI-84? ›

How do I change the notation mode on the TI-83 Plus and TI-84 Plus family of graphing calculators?
  1. Press [MODE].
  2. Highlight NORMAL, SCI (scientific), or ENG (engineering).
  3. Press [ENTER].
  4. Press [CLEAR] to return to the Home screen.

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