SOLUTION: (666667 * 222222)-(333333 * 444444) The answer should be solved without working it out full.

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Question 1210276: (666667 * 222222)-(333333 * 444444)
The answer should be solved without working it out full.
Found 5 solutions by ikleyn, hudikamo, greenestamps, mccravyedwin, Edwin McCravy:
Answer by ikleyn(52778)   (Show Source):
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(666667 * 222222)-(333333 * 444444) = = ((666666+1) * 222222) - (333333 * 444444) = = (666666 * 222222) - (333333 * 444444) + 1 * 222222 = = (2 * 333333 * 222222) - (333333 * 2 * 222222) + 222222 = cancel equal terms with the opposite signs and continue = ( 0 ) + 222222 = 222222. ANSWER

Solved.

Answer by hudikamo(4)   (Show Source):
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(666667 * 222222)-(333333 * 444444)
(666667 * 222222) -> (666666 * 222222) + (1 * 222222)
(666666 * 222222) -> (2 * 333333) * 222222 [a]
(333333 * 444444) -> (2 * 222222) * 333333 [b]
[a] == [b] therefore [a] - [b] = 0
Leftover (1 * 222222)
0 + 222222 = 222222

Answer by greenestamps(13198)   (Show Source):
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Observe that 444444 is 222222*2.

Then employ a useful mental math technique of performing a multiplication of two numbers by doubling one of them and cutting the other in half:

333333 * 444444 = 666666 * 222222

Then the expression to be evaluated is

(666667 * 222222) - (666666 * 222222) = (1) * (222222) = 222222

ANSWER: 222222

Answer by mccravyedwin(406)   (Show Source):
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Answer by Edwin McCravy(20054)   (Show Source):
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Make it even shorter: (666667 * 222222)-(333333 * 444444) Edwin