### What is Rounding Off?

**Rounding off** is a way of making numbers **simpler** by writing them as the number they are closer to.

Numbers can be rounded off in several ways:

- To the nearest
**whole number**.

For example, **5.8** to the nearest whole number is **6** – it lies between 5 and 6 but is **closer to 6**.

- To the nearest
**ten**.

For example, **543** to the nearest ten is **540** – it lies between 540 and 550 but is **closer to 540**.

- To the nearest
**hundred**.

For example, **1297** to the nearest hundred is **1300** – it lies between 1200 and 1300 but is **closer to 1300**.

- To the nearest
**thousand**.

For example, **2679** to the nearest thousand is **3000** – it lies between 2000 and 3000 but is **closer to 3000**.

- To the nearest
**decimal place**– this is covered in our ‘Decimals’ lesson.

### The Golden Rules

When asked to **round off** a number here are the **golden rules** to follow:

- Identify the
**digit**you are being asked to**round off**based on**place value**e.g. the tens column, the hundreds column etc… - Look at the
**next digit**in the number sitting to the**right**of the one you are rounding. - If it is a
**5 or higher**you**round up**. - If it is
**lower than a 5**you**round down**.

### Rounding to the Nearest Whole Number

Rounding to the nearest whole number means we are going to round the units column.

Rounding to the nearest whole number requires a little knowledge of **decimals** because we will need to look at the** tenths column** in order to round the units up or down. If you don’t fully understand what the **tenths column** is you can quickly read the ‘What are Decimals?’ section of the ‘Decimals’ lesson.

When asked to round to the **nearest whole number** you follow the rounding off **golden rules**:

- Find the digit you are being asked to round in the units column
- Look at the
**digit**to the**right**of the**units column**(this is the**tenths**column which sits to the right of the decimal point). - If it is a
**5 or over round up**. - If it is
**less than 5 round down**.

Lets look at an example:

Example

**Question**: What is 2.7 rounded off to the nearest whole number?

We are being asked to round to the **nearest whole number**, this means the units columns:

2.7

So after identifying the correct column, we look at the digit to the right of it:

2.7

If the digit is **5 or over**, we **round up**. In this case the digit is **7**, so we **round up**. And our answer is:

3

### Rounding to the Nearest Ten

- To round to the
**nearest ten**we must look at the digit in the**tens column**. - Next, look at the digit to the
**right**of this in the**units column**. - If it is 5 or over
**round up**. - If it is under 5
**round down**.

Example

**Question**: Round 152 to the nearest ten.

We are being asked to round to the nearest **ten:**

152

The digit to the **right** of the tens column is **2**:

152

Because it is **less than 5**, we **round down** and our answer is:

**150**

### Rounding to the Nearest Hundred

- To round to the
**nearest hundred**we must look at the digit in the**hundreds column**. - Next, look at the digit to the
**right**of this in the**tens column**. - If it is 5 or over
**round up**. - If it is under 5
**round down**.

Example

**Question**: Round 45178 to the nearest hundred.

To round 45178 to the **nearest hundred** we must look at the **hundreds column**:

45178

Next look at the digit to the **right** of this:

45178

It is **5 or higher** so we **round up** and our answer is:

45200