# Functional Skills: BIDMAS

## Functional Skills: BIDMAS Revision

**BIDMAS**

**BIDMAS** (sometimes known as **BODMAS**) helps us remember the order in which we perform mathematical operations. The letters stand for:

**B**rackets**I**ndices (or**O**rders)**D**ivision**M**ultiplication**A**ddition**S**ubtraction

Make sure you are happy with the following topics before continuing.

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**Notes:**

- For
**division**and**multiplication**, work them out in the order that they appear (from left to right) in the question. - For
**addition**and**subtraction**, when they are the only two operations left in the sum, work them out in the order that they appear (from left to right).

**BIDMAS Calculations**

**Example:** Calculate 5 \times(2^2 + 4) - 7

**Step 1:** The first letter of** BIDMAS** is **B**, so look inside the **brackets** first. (If there are no brackets, look at indices, and then division etc.)

In the brackets there are two operations: an **index/power**Â and an **addition**. The letter **I** comes before the letter **A** in **BIDMAS** so first work out the result of 2^2 and then add it to 4.

(2^2 + 4) = (4 + 4) = 8

**Step 2:** There is a multiplication and a subtraction left, so because **M** comes before **S**, do the **multiplication**Â first and then the **subtraction**,

5 \times 8 - 7 = 40 - 7 = 33

So,

5 \times(2^2 + 4) - 7 = 33

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**BIDMAS with Fractions**

For **BIDMAS** with fractions, work out the values of the top and bottom of the fraction separately, and then simplify the fraction if possible.

**Example:** Calculate \dfrac{4 \times 3 - 5}{11 + (15 \div 5)} and simplify your answer.

**Step 1: **Firstly, look at the top of the fraction. There is a **multiplication** and a **subtraction**, so we do the **multiplication**Â first and the **subtraction**Â second.

4 \times 3 - 5 = 12 - 5 = 7

**Step 2: **Now, look at the bottom. This contains a **division** inside the **brackets**, so do this calculation first, and then perform the **addition**.

11 + (15 \div 5) = 11 + 3 = 14

**Step 3: **Therefore, the fraction is \dfrac{7}{14}

The top and bottom of the fraction can both be divided by 7, so the answer can be simplified to

\dfrac{7}{14} = \dfrac{1}{2}

## Functional Skills: BIDMAS Example Questions

**Question 1:** Calculate 15 \times (12\div 3)^2

**[2 marks]**

Firstly, perform the operations inside the brackets (**B**),

12 \div 3 = 4

Then move onto the indices (**I**),

(4)^2 = 16

Finally, do the multiplication (**M**),

15\times 16= 240

**Question 2:** Calculate (2 \times 3^3) \div (17 - 11)

**[2 marks]**

There are 2 brackets (B) to calculate first,

(2 \times 3^3) andÂ (17-11)

Inside the first bracket, there is an index (**I**),

2 \times 3^3 = 2 \times 27

Calculate any divisions (D) or multiplications (M), followed by additions (A) or subtractions (**S**) inside the brackets,

(2 \times 27 = 54)Â Â Â andÂ Â Â (17-11 = 6)

Finally, complete the calculation,

\begin{aligned} 54 \div 6 &= 9 \\ (2 \times 3^3) \div (17 - 11) &= 9 \end{aligned}

**Question 3:** Calculate \dfrac{3^2 - 2\times3}{24\div2}

**[2 marks]**

Firstly, look at the top of the fraction.

There are no brackets, but there is an index (**I**),

3^2 = 9

Next, do the multiplication (**M**),

2 \times 3 = 6

Then, do the subtraction (**S**),

9 - 6 = 3

Now, look at the bottom of the fraction,

There is only a division (**D**), so do that,

24 \div 2 = 12

So, the fraction is \dfrac{3}{12} which can be simplified to \dfrac{1}{4}

## Functional Skills: BIDMAS Worksheet and Example Questions

### BIDMAS L1, L2

FS Level 1FS Level 2NewOfficial PFS[responsive-flipbook id=”pfs_pocket_revision_guide_-_sample”]

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