56 100 As A Decimal
Rounding Numbers Calculator
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Rounding calculator to round numbers up or downwardly to whatsoever decimal place. Choose ones to circular a number to the nearest dollar. Choose hundredths to round an corporeality to the nearest cent.
Rounding Numbers
Say you wanted to round the number 838.274. Depending on which place value you'll circular to, the final event will vary. Rounding 838.274:
- Rounding to the nearest hundred is 800
- Rounding to the nearest 10 is 840
- Rounding to the nearest one is 838
- Rounding to the nearest 10th is 838.3
- Rounding to the nearest hundredth is 838.27
Bones Rules of Rounding
When you "circular to the nearest _____" regardless of what goes in the bare the steps are well-nigh ever the aforementioned:
- Place which place value you are rounding to. The smaller the place value, the more accurate the terminal result will be.
- Look to the next smallest identify value, the digit to the correct of the place value you're rounding to. For example, if you desire to round to the nearest ten you'd expect at the ones place.
- If the digit in the next smallest place value is less than five (0, 1, ii, three, or 4), you lot leave the digit y'all want to round to as-is. Whatever digits after that number (including the next smallest place value you only looked at) become zeros, or drop-off if they're located after the decimal point. This is chosen rounding down.
- If the side by side smallest place value is greater than or equal to five (v, vi, seven, 8, or 9), you increase the value of the digit yous're rounding to by one (+1). Just like before, whatever remaining digits before the decimal betoken go zeros, and any that are after the decimal point are dropped. This is called rounding upward.
New Content: Rounding Method of this Calculator
This Rounding Numbers Calculator uses the method called Round Half Away From Cypher. An caption of this and other rounding methods can be found on our Rounding Methods Calculator page.
Rounding Half Away From Nix
Round halfway values away from zip. When the digit to the correct is 5, this is the halfway value between rounding up or down. For the following examples allow'southward round to the ones place for values between 2 and iii where the halfway point is two.v. In this method, whether you lot round a positive or a negative number, the absolute value of the results are the same. You tin see this symmetry around goose egg by comparison the positive and negative results. If your number to round is negative you can round the digits as yous would for rounding a positive number.
For positive numbers:
Numbers less than the halfway point between 2 and iii, which is 2.5, round downward, toward 0. Numbers greater than or equal to the halfway point between ii and three round upwards, abroad from 0.
- 2.4 rounds down to 2
- 2.48 rounds down to 2
- 2.v rounds up to 3 halfway, upwardly and abroad from 0
- ii.52 rounds up to 3
- two.6 rounds up to 3
For negative numbers:
Numbers greater than the halfway signal between -iii and -2, which is -2.5, round up, toward 0. Numbers less than or equal to the halfway point of -2.v round down, abroad from 0.
- -2.iv rounds upward to -ii
- -2.48 rounds up to -2
- -2.5 rounds downward to -iii halfway, down and away from 0
- -2.52 rounds down to -3
- -2.half dozen rounds downward to -3
Round to the Nearest Hundred: 3250
- Identify the hundreds digit: the 2 in 3250
- Identify the next smallest place value: the five in 3250
- Is that digit greater than or equal to five? Yes, then round up.
- Increase the hundreds digit by one, so two becomes iii. Every digit after becomes a zero.
3250 rounded to the nearest hundred is 3300
Round to the Nearest 10: 323.5
- Place the tens digit: the ii in 323.5
- Place the next smallest identify value: the 3 in 323.5
- Is that digit greater than or equal to 5? No, so round downwardly.
- The tens digit stays the same at ii. Every digit later on becomes a zero. Digits after the decimal point are dropped.
323.v rounded to the nearest 10 is 320
Round to the Nearest 10: 499
- Place the tens digit: the first 9 in 499
- Place the next smallest place value: the second ix in 499
- Is that digit greater than or equal to five? Aye, and then round up.
- The tens digit increases past one. Since 9+one=10, y'all demand to deport the i and add information technology to the digit in the hundreds place. Each digit later on becomes a zero.
499 rounded to the nearest ten is 500
Round to the Nearest Tenth: 0.74
- Identify the tenths digit: seven in 0.74
- Place the side by side smallest place value: the 4 in 0.74
- Is that digit greater than or equal to 5? No, so round down.
- The tenths digit stays the aforementioned at 7. Since the remaining digits are after the decimal point you only drop them.
0.74 rounded to the nearest 10th is 0.seven
Round to the Nearest Hundredth: 3.141
- Identify the hundredths digit: the iv in iii.141
- Identify the next smallest place value: the second ane in 3.141
- Is that digit greater than or equal to five? No, so round down.
- The hundredths digit stays the aforementioned at iv. Drop the digits to the right of 4.
iii.141 rounded to the nearest hundredth is three.14
Related Calculators
To learn how to round a number to the nearest multiple see our Round to Nearest Multiple Computer. 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 practise you Circular?
Math.com has several lessons on estimating and rounding.
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56 100 As A Decimal,
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