## What is "Rounding" ?

Rounding way making a number **simpler** yet keeping its value close to what it was.

The an outcome is less accurate, yet easier to use.

Example: **73** rounded to the nearest ten is **70**, since 73 is closer come 70 보다 to 80. But 76 go **up** come 80.

You are watching: Round 73 to the nearest ten

## Common Method

There are several various methods for rounding. Here we look at the **common method**, the one offered by many people.

First some examples (explanations follow):

## How to round Numbers

Decide which is the last digit come**keep**Leave it the same if the

**next digit**is much less than 5 (this is called rounding down)But increase it through 1 if the next digit is 5 or much more (this is referred to as rounding up)

### Example: round 74 to the nearest 10

We desire to keep the "7" (it is in the 10s position)The next digit is "4" i beg your pardon is less than 5, for this reason no readjust is needed to "7"**Answer: 70 **

(74 it s okay "rounded down")

### Example: round 86 come the nearest 10

We want to store the "8"The next digit is "6" i m sorry is 5 or more, so rise the "8" by 1 come "9"**Answer: 90 **

(86 gets "rounded up")

So: once the very first digit **removed** is 5 or more, rise the last digit **remaining** by 1.

## Why walk 5 walk up ?

5 is in the middle ... So us **could** walk up or down. However we require a an approach that everyone agrees to.

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

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

And that is the "common" an approach of rounding. Read around other techniques of rounding.

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

## Rounding Decimals

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

Rounding to**tenths**method to leaving

**one number**after the decimal point.Rounding come

**hundredths**method to leaving

**two numbers**after ~ the decimal point.etc.

### 3.1416 rounded to hundredths is 3.14

**as the following digit (1) is less than 5**

### 3.1416 rounded to thousandths is 3.142

as the next digit (6) is much more than 5

### 1.2735 rounded to tenths is 1.3

as the next digit (7) is 5 or more

To round to "so many decimal places" count that countless digits from the decimal point:

### 1.2735 rounded to 3 decimal places is 1.274

as the next digit (5) is 5 or more

## Rounding totality Numbers

We may want to ring to tens, hundreds, etc, In this case we change the eliminated digits through zero.

See more: How Much Does It Cost Of Building A House In Jamaica Expat Forum: House Building

### 134.9 rounded to 10s is 130

as the next digit (4) is much less than 5

### 12,690 rounded to thousands is 13,000

as the following digit (6) is 5 or more

### 15.239 rounded come ones is 15

as the following digit (2) is much less than 5

## Rounding to far-ranging Digits

**To ring to "so many" far-reaching digits, count digits from left come right**, and then round off from there.

### 1.239 rounded to 3 significant digits is 1.24

as the following digit (9) is 5 or more

### 134.9 rounded come 1 far-ranging digit is 100

as the following digit (3) is less than 5

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

### 0.0165 rounded come 2 far-ranging digits is 0.017

as the next digit (5) is 5 or more

## Significant number Calculator

(Try increasing or to decrease the number of far-reaching digits. Also shot numbers with many zeros in front of them prefer 0.00314, 0.0000314 etc)

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