What is "Rounding" ?

Rounding means making a number simpler yet keeping its value close come what that was.

The result is less accurate, but easier to use.


Example: 73 rounded come the nearest ten is 70, due to the fact that 73 is closer come 70 보다 to 80. However 76 walk up to 80.

You are watching: Round 86 to the nearest ten

Common Method

There space several various methods because that rounding. Here we look at the common method, the one provided by many people.

First some examples (explanations follow):

How to round Numbers

Decide which is the critical digit come keepLeave it the same if the next digit is less than 5 (this is referred to as rounding down)But increase it by 1 if the next digit is 5 or much more (this is dubbed rounding up)

Example: ring 74 come the nearest 10

We want to save the "7" (it is in the 10s position)The following digit is "4" i beg your pardon is less than 5, so no adjust is needed to "7"

Answer: 70

(74 it s okay "rounded down")

Example: round 86 to the nearest 10

We want to store the "8"The next digit is "6" i m sorry is 5 or more, so boost the "8" through 1 to "9"

Answer: 90

(86 it s okay "rounded up")

So: once the very first digit removed is 5 or more, increase the critical digit remaining by 1.

Why does 5 go up ?

5 is in the center ... So we could walk up or down. But we require a method that everyone agrees to.

So think around sport: us should have actually the same number of players on each team, right?

0,1,2,3 and also 4 are on team "down"5,6,7,8 and also 9 are on team "up"

And that is the "common" technique of rounding. Read about other methods of rounding.

A farmer counting 87 cows in the field, but when the rounded them up he had 90.

Rounding Decimals

First occupational out which number will be left once we finish.

Rounding to tenths way to leaving one number after the decimal point.Rounding to hundredths way to leaving two numbers ~ the decimal point.etc.

3.1416 rounded to hundredths is 3.14

as the next digit (1) is much less than 5

3.1416 rounded to thousandths is 3.142

as the following digit (6) is more than 5

1.2735 rounded to one per 10 is 1.3

as the following digit (7) is 5 or more

To round to "so countless decimal places" count that plenty of digits indigenous the decimal point:

1.2735 rounded come 3 decimal places is 1.274

as the next digit (5) is 5 or more

Rounding whole Numbers

We might want to round to tens, hundreds, etc, In this instance we change the eliminated digits through zero.

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134.9 rounded to 10s is 130

as the following digit (4) is less than 5

12,690 rounded to thousands is 13,000

as the following digit (6) is 5 or more

15.239 rounded to ones is 15

as the next digit (2) is less than 5

Rounding to far-ranging Digits

To round to "so many" far-reaching digits, counting digits native left to right, and also then round turn off from there.

1.239 rounded come 3 far-ranging digits is 1.24

as the next digit (9) is 5 or more

134.9 rounded to 1 far-reaching digit is 100

as the next digit (3) is much less than 5

When there room leading zeros (such as 0.006), don"t counting them since they are just there to present how tiny the number is:

0.0165 rounded to 2 far-reaching digits is 0.017

as the following digit (5) is 5 or more


Significant digit Calculator

(Try increasing or decreasing the number of far-reaching digits. Also try numbers with numerous zeros in former of them prefer 0.00314, 0.0000314 etc)

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