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What we all need is another head scratcher over BODMAS

so here’s the latest offering sending the internet into arguments with strangers

8/2(2+2) = 1

or

8/2(2+2) = 16

even the calculators don’t agree...(pic from twitter, those nails are not my colour!!!)

.

so here’s the latest offering sending the internet into arguments with strangers

8/2(2+2) = 1

or

8/2(2+2) = 16

even the calculators don’t agree...(pic from twitter, those nails are not my colour!!!)

.

0

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## Comments

Casio (right) assume everything is part of the denominator unless otherwise stated, so it divides [8] by [2(2+2)], giving 1.

IMO, Casio is correct.

For Texas to be right, it should be written (8/2)(2+2). They’ve assumed an extra pair of brackets. But it’s open to interpretation which is why it’s not clear cut.

Bodmas says to do division and multiplication from left to right, but this expression isn’t clear enough about whether the [(2+2)] is on the top or the bottom of the fraction.

The whole problem occurs when both division and multiplication are involved and stems from the idea that in a fraction, the line separating the numerator from the denominator implies a pair of brackets around both the numerator and denominator. Which is why this probably should be 1, but you can see why some would say it’s 16.

Any mathematician worth his or her salt would write the expression as either

8/(2(2+2)) = 1

or

(8/2)(2+2) = 16

to avoid confusion.

If you look at the 8/2 as division it’s 4, just as it would be if you were looking at it as a fraction. The other way is if you rearrange an equation, the answer should still be the same. So if you have (2+2)8/2 it would be 16. You could also do (2+2) divide by 2 and multiply by the 8, it still comes out as 16.

That’s all I got.

Sponsored links:last. Which = 16

Also GCSE C so could well be wrong.

Just worked out that you could do

2+2

8/2 x 4

If the rule of always multiplying first is true it could be argued that you'd do 2x4 here so

8/8 = 1

D and M, and A and S is whichever is first. So once you have got the brackets out the way of (2+2) being 4. The next part of the equation is a division, which is 8/2, again being 4. The next part is the multiplication because of the open bracket, so 4x4=16.

As soon as I saw pedmas it came rolling back!

PEDMAS/BODMAS should really be stylised as:

PEDA ... BODA

.....MS ........MS

to illustrate the above point better.

In that sense, you SHOULD add the two 2s together, then take care of the division and multiplication from left to right.

If you take the equation to mean 8 over 2(2+2) like a singular fraction then you’ll get 1.

In truth, if you were writing as a proper mathematician you’d know that there is an extra set of brackets missing and the equation should be written as either

a. (8/2)(2+2)=16

or

b. 8/(2(2+2))=1