# Understanding BODMAS, BIDMAS or BEDMAS (order of operations).

## BODMAS Video

BODMAS, BIDMAS and BEDMAS all help you to carry out operations in the correct order. For younger students it is a good idea to start off with BODMAS:

**B**rackets

**O**rders of

**D**ivision

**M**ultiplication

**A**ddition

**S**ubtraction

Once a student has studied powers (which are also called indices or exponents) then use BIDMAS:

**B**rackets

**I**ndices

**D**ivision

**M**ultiplication

**A**ddition

**S**ubtraction

or use BEDMAS:

**B**rackets

**E**xponents

**D**ivision

**M**ultiplication

**A**ddition

**S**ubtraction

Powers are the little numbers that sit on the top right of a number (squares, cubes...)

Basically, if you are given a calculation you always work out what’s inside the brackets first, then do powers, then do division, then do multiplication, then do addition and finally do subtraction.

Let’s take a look at some examples that involve using BODMAS, BIDMAS or BEDMAS.

**Example 1**

Work out:

7 × (6 – 2)

First do what’s inside the brackets, as brackets is above multiplication in the words BODMAS, BIDMAS or BEDMAS. So:

7 × 4

=28

**Example 2**

Work out:

9 + 6 × 3

First do the multiplication, as multiplication before addition in the words BODMAS, BIDMAS or BEDMAS.

So:

9 + 18

= 27

**Example 3**

Work out:

90 – 30 ÷ 6

First do the division, as division comes first in the words BODMAS, BIDMAS or BEDMAS.

So:

90 – 5

= 85.

**Example 4**

Work out:

4 × 3²

First calculate 3², as powers come before multiplication in the word BODMAS, BIDMAS or BEDMAS.

So:

4 × 9

= 36.

**Example 5**

Put a bracket in the correct place to make this calculation correct:

11 – 7 × 2 + 6 = 14

The bracket need to do go around the 11-7 as the subtraction needs to be carried out first, to make the calculation correct:

(11 – 7) × 2 + 6

Now let’s check to see if this gives 14.

First do the brackets, as brackets come first in the words BODMAS, BIDMAS or BEDMAS.

This gives 4 × 2 + 6.

Next do multiplication as this comes next in the words BODMAS, BIDMAS or BEDMAS.

This gives 8 + 6, which gives an answer of 14.