Order of Operations - BODMAS

"Operations" mean things like add, subtract, multiply, divide, squaring, etc. If it isn't a number it is probably an operation.

But, when you see something like...

7 + (6 × 5² + 3)

... what part should you calculate first?

Start at the left and go to the right?
Or go from right to left?

Calculate them in the wrong order, and you will get a wrong answer !

So, long ago people agreed to always follow certain rules when doing calculations, and they are:

Order of Operations

Do things in Brackets First. Example:

		6 × (5 + 3)	=	6 × 8	=	48
		6 × (5 + 3)	=	30 + 3	=	33	(wrong)

Exponents (Powers, Roots) before Multiply, Divide, Add or Subtract. Example:

		5 × 22	=	5 × 4	=	20
		5 × 22	=	102	=	100	(wrong)

Multiply or Divide before you Add or Subtract. Example:

		2 + 5 × 3	=	2 + 15	=	17
		2 + 5 × 3	=	7 × 3	=	21	(wrong)

Otherwise just go left to right. Example:

		30 ÷ 5 × 3	=	6 × 3	=	18
		30 ÷ 5 × 3	=	30 ÷ 15	=	2	(wrong)

How Do I Remember ? BODMAS !

B	Brackets first
O	Orders (ie Powers and Square Roots, etc.)
DM	Division and Multiplication (left-to-right)
AS	Addition and Subtraction (left-to-right)

The only strange name is "Orders". "Exponents" is used in Canada, and so you might prefer "BEDMAS". There is also "Indices" so that makes it "BIDMAS". In the US they say "Parenthesis" instead of Brackets, so they say "PEMDAS"

Divide and Multiply rank equally (and go left to right).

Add and Subtract rank equally (and go left to right)

After you have done "B" and "O", just go from left to right doing any "D" or "M" as you find them. Then go from left to right doing any "A" or "S" as you find them.

Examples

Example: How do you work out 3 + 6 × 2 ?
Multiplication before Addition:
First 6 × 2 = 12, then 3 + 12 = 15

Example: How do you work out (3 + 6) × 2 ?
Brackets first:
First (3 + 6) = 9, then 9 × 2 = 18

Example: How do you work out 12 / 6 × 3 ?
Division and Multiplication rank equally, so just go left to right:
First 12 / 6 = 2, then 2 × 3 = 6

Oh, yes, and what about 7 + (6 × 5² + 3) ?

7 + (6 × 52 + 3)
7 + (6 × 25 + 3)	Start inside Brackets, and then use "Orders" First
7 + (150 + 3)	Then Multiply
7 + (153)	Then Add
7 + 153	Brackets completed, last operation is add
160	DONE !

Extreme - Babies Discarded

It was unfortunate fate of these babies. Their extreme parents have the heart to put her child because of selfishness

Strange facts-Girl who had eight limbs

The little girl who had eight limbs

She was born with a unique body - eight limbs and two torsos fused at the hips.

Now Lakshmi Tatma, the Indian toddler whose plight touched the world, has grown up and started school. Two years after a ground-breaking operation to separate her from a parasitic twin, Lakshmi is a lively and bubbly four-year-old. She loves playing cricket with her older brother, has a tendency to boss around her newfound friends and remains firmly a daddy's girl.

'When I think of the way she was, never in a million years would Lakshmi have been able to go to school or have the life she does today,' said her mother Poonam, 26.' All the things she's capable of now were impossible two years ago. 'I often try to think what she might be like today if she hadn't had the operation - she couldn't even sit up before and now she runs around like other children.'

Born in a dusty farming village in India's poorest state, Lakshmi was revered as a deity and worshipped from birth. Villagers, who believed she was the reincarnation of the Hindu goddess of wealth and fertility, would seek her blessing daily and leave gifts at her bedside.

Fascinating events-World record for swallowing swords

An Australian man has set a world record by swallowing eighteen swords in one jaw-dropping gulp. Chayne Hultgren - who calls himself the Space Cowboy - slid the 2ft 4in blades down his throat in Sydney as onlookers held their breath and prepared to call for an ambulance.

But Mr Hultgren, 31, proved he was a cut above the rest of the world's street entertainers by slowly slipping the swords, all bound together with a steel clasp, down his throat as he held his head back to create a straight channel into his lower body.

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