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Rounding to the nearest 10, 100 and 1000

Tutor: Alice

# Rounding to the nearest 10, 100 and 1000

## ​​In a nutshell

Rounding numbers makes them much easier to work with. It also allows you to estimate answers to long, tricky calculations.

## Rounding to the nearest 10

### Definition

Rounding to the nearest ten means to round a number up or down to the nearest multiple of ten.

#### PROCEDURE

 ​​1. Look at the digit in the ones column. 2. If the value is $0,1,2,3$ or $4$: round down to the nearest multiple of ten.​If the value is $5,6,7,8$ or $9$​: round up to the nearest multiple of ten.

##### Example 1

Round $72$ to the nearest ten.

Look at the ones.

The digit in the ones column is $2$.

Round down to the nearest multiple of ten.

$72\rightarrow\underline{70}$

Tip: Remember, a multiple of ten has a zero in the ones column. If you already have a zero in the ones, your number is already rounded!

## Rounding to the nearest 100

### ​​Definition

Rounding to the nearest hundred means to round a number up or down to the nearest multiple of $100$.

#### PROCEDURE

 ​​1. Look at the digit in the tens column. 2. If the value is $1,2,3$ or $4$: round down to the nearest multiple of $100$.​​If the value is $5,6,7,8$ or $9$​: round up to the nearest multiple of $100$.

##### Example 2

Round $673$ to the nearest hundred.

Look at the tens.

The digit in the tens column is $7$.

Round up to the nearest multiple of $100$​.

$673\rightarrow\underline{700}$

## Rounding to the nearest 1000

### ​​Definition

Rounding to the nearest thousand means to round a number up or down to the nearest multiple of $1000$.

#### PROCEDURE

 1 Look at the digit in the hundreds column. 2 If the value is $1,2,3$ or $4$: round down to the nearest multiple of $1000$.​​If the value is $5,6,7,8$ or $9$​: round up to the nearest multiple of $1000$.

##### Example 3

Round $1629$ to the nearest thousand.

Look at the hundreds.

The digit in the hundreds column is $6$.

Round up to the nearest multiple of $1000$​.

$1629\rightarrow\underline{2000}$

​​

## FAQs - Frequently Asked Questions

### How do I round to the nearest 10?

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