What is BIDMAS?

The order of BIDMAS

Bidmas is the memory aid used to work out which order mathematical calculations should be completed in:

List of the order of BIDMAS

The above is the order you complete any calculation.

Brackets	-	( )
Indices	-	To the power e.g.
		$3^3=3times3times3$ or $sqrt9=9^(1/2)=3$
Division	-	Divide
Multiplication	-	Multiply
Addition	-	Add
Subtraction	-	Take away

Example 1

$30-:-5+4times-2+14$

Stage 1	-	Division	$30-:-5$	$=$	$-6$	Therefore	$-6+4times-2+14$
Stage 2	-	Multiplication	$4times-2$	$=$	$-8$	Therefore	$-6-8+14$
Stage 3	-	Addition	$-8+14$	$=$	$6$	Therefore	$-6+6$
Final stage	-	Subtraction	$-6+6$	$=$	$0$

Example 2

$(4times5)^2+2times2^2$

Stage 1	-	Brackets	$4times5$	$=$	$20$	Therefore	$20^2+2times2^2$
Stage 2	-	Indices	$20^2=400$	and	$2^2=4$	Therefore	$400+2times4$
Stage 3	-	Multiplication	$2times4$	$=$	$8$	Therefore	$400+8$
Final stage	-	Addition	$400+8$	$=$	$408$

Example 3

What is $x$ ?

$4times4+4times4+4-4times4=x$

Stage 1	-	Multiplication	$4times4=16$	and	$-4times4=-16$	Therefore	$16+16+4-16$
Stage 2	-	Addition	$16+16+4$	$=$	$36$	Therefore	$36-16$
Final stage	-	Subtraction	$36-16$	$=$	$20$	Therefore	$x=20$

Example 4

$6-:2(1+2)$

Stage 1	-	Brackets	$1+2$	$=$	$3$	Therefore	$6-:2times3$
Stage 2	-	Division	$6-:2$	$=$	$3$	Therefore	$3times3$
Final stage	-	Multiplication	$3times3$	$=$	$9$