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

Algebra.Com
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): You can put this solution on YOUR website!
.

  (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): You can put this solution on YOUR website!
(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): You can put this solution on YOUR website!


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(407)   (Show Source): You can put this solution on YOUR website!

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Make it even shorter:
(666667 * 222222)-(333333 * 444444)










Edwin
RELATED QUESTIONS

I have the answer, I just need to know how to graph the answer that I have. I have tried... (answered by venugopalramana)
I am trying to solve (2^(1/2)+2^(3/2))^2 I solved it as: 2^1 + 2^3 2+8 10 I... (answered by Alan3354)
Hi, I came across this problem in an old newspaper and believe I have solved it but am (answered by Boreal,Alan3354)
Ben recently moved from southern California to northern Alaska. After consulting with a... (answered by scott8148)
I'm working on some summer problems so that I can be more prepared when I go into my... (answered by Theo,math_helper)
If {{{ sin x + cos x = -( 1 / 5 ) }}}, and 3pi/4 < or = x < or = pi, find the value of... (answered by ikleyn)
why the answer of -97-85 comes out to be +74 when it should be -182 in 2s complement... (answered by josgarithmetic)
Is the solution set of the equation |4a+6|-4a=-10, and empty set? I solved it but the... (answered by lwsshak3)
-8 ≤ 8m + 28 My son says the answer should be a whole number. can not figure it... (answered by rfer,MathTherapy)