## 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**keep**Leave 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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