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BODMAS = Brackets, Of, Divide, Multiply, [Add and Subtract]

BODMAS = Brackets, Order, Divide, Multiply, [Add and Subtract]

BODMAS = Brackets, Other, Divide, Multiply, [Add and Subtract]

BIDMAS = Brackets, Index, Divide, Multiply, [Add and Subtract]

I have bracketed Add and Subtract as when they are found together, they are done in the order they are found: from left to right.

eg 1 + 2 - 3 is (1 + 2) - 3 and NOT 1 + (2 - 3) as the mnemonic would suggest.

With Divide and Multiply, they can be done either left to right, or by doing the divide first, and the correct answer will be found, eg:

2 x 6 ÷ 3 = (2 x 6) ÷ 3 = 2 x (6 ÷ 3)

Note:

6 ÷ 3 x 2 = (6 ÷ 3) x 2 ≠ 6 ÷ (3 x 2)

But the last possibility would not be attempted as 'left to right' and 'divide first' are the same calculation (doing the division); showing that following strict 'DM' of BODMAS always works.

My own creation: to get the sum correct, you will be under the watchful eye of the Bod Tsar:

BODTSAR = Brackets, Of/Order/Other, Divide, Times, Subtract, Add (in order to get the) Result.

Which fixes the slight imperfection that the B*DMAS don't show that the pairs of operations Divide & Multiply, and Subtract & Add have the same priority and are done in left to right order. However, if you always Divide before Multiplying (Timesing) and Subtract before Adding in those pairs, you will get the correct result, hence my mnemonic

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11y ago
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11y ago

i really dont know....

  1. ask that doc. :)
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12y ago

Please Excuse My Dear Aunt Sally

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Q: What are the order of operations mnemonic?
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