Can you handle mischievous math? Well let’s find out…
Tell me - what is the value of one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one thousand?
P.S. ~ and yes, there is a real mathematical answer/explanation to this problem. The task is can you tell me what that answer/explanation is?
2006-06-20 11:36:07 · 22 answers · asked by Answers Anyone 4 in Science & Mathematics ➔ Mathematics
the answer is 100
9/10 of 1000 = 900 8/9 of 900 = 800 7/8 of 800 = 700
6/7 of 700 = 600 5/6 of 600 = 500 4/5 of 500 = 400
3/4 of 400 = 300 2/3 of 300 = 200 1/2 of 200 = 100
2006-06-20 11:41:16 · answer #1 · answered by Raidered81 3 · 1⤊ 3⤋
that would be 1/2 X 2/3 X 3/4 X 4/5 X 5/6 X 6/7 X 7/8 X 8/9 X 9/10 X 1000 = 100.
2006-06-20 11:48:17 · answer #2 · answered by Anonymous · 0⤊ 0⤋
This is so easy you should be able to do it in your head.
1/2 x 2/3 x 3/4 x 4/5 x 5/6 x 6/7 x 7/8 x 8/9 x 9/10 x 1000.
It's easy to see that the denominators are cancelled by the succeeding numerator. (2, 3, 4, 5... 8, 9 all cancel).
So you are left with:
1/10 x 1000
One tenth of a thousand is:
= 100
2006-06-20 11:48:19 · answer #3 · answered by Puzzling 7 · 1⤊ 0⤋
what is the value of one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one thousand?
Rewrite this into numbers
= (1/2) (2/3) (3/4) (4/5) (5/6) (6/7) (7/8) (8/9) (9/10) (1000)
cancel 2,3,4,5,6,7,8, and 9
= 1000/10
Simplify
= 100
You need not multiply all, because it will just reach millions. Multiplication is commutative. Cancelling means disregarding common factors of both the numerator and denominator to lessen the work^_^
^_^
2006-06-20 23:11:08 · answer #4 · answered by kevin! 5 · 1⤊ 0⤋
1/2 x 2/3 x 3/4 x 4/5 x 5/6 x 6/7 x 7/8 x 8/9 x 9/10 x 1000
1/3 x 3/5 x 5/7 x 7/9 x 900
1/5 x 5/9 x 900
1/9 x 900
100. This is mischevious math? If I'm wrong, then it is mischevious, but I just don't know how yet. Lol.
2006-06-20 11:43:22 · answer #5 · answered by calivane07 3 · 0⤊ 1⤋
100
There is some cancellation that takes place.
The 1 stays, the 2's, 3's, 4's, 5's, 6's, 7's, 8's, and 9's cancel, the 10 stays, and the 1000 stays.
Thus, the statment above is equivalent to 1000/10, which is 100.
2006-06-20 11:44:27 · answer #6 · answered by kooshman38 3 · 0⤊ 0⤋
100
2006-06-20 11:58:36 · answer #7 · answered by quickster94 3 · 0⤊ 0⤋
100
2006-06-20 11:48:14 · answer #8 · answered by CaliBeachBabe 2 · 0⤊ 0⤋
Let's see...
1000 is the start number, right?
so 9/10 of 1000 is 900.
8/9 of 900 is 800
7/8 of 800 is 700
6/7 of 700 is 600
5/6 of 600 is 500
4/5 of 500 is 400
3/4 of 400 is 300
2/3 of 300 is 200
and 1/2 of 200 is 100.
so, what's the maths answer?
2006-06-20 11:44:00 · answer #9 · answered by Ste 2 · 0⤊ 1⤋
God, this is not for masters!!!
1/2*2/3*...*9/10*100
Using the rules of multiplication, you can scratch all numbers except the 1 and 10. All others appear both multiply and divided so you can basically ignore them. Doing so you get:
(1/10)*100
100/10
10 (and you don`t even need a calculator)
2006-06-21 02:40:22 · answer #10 · answered by Carla 4 · 1⤊ 0⤋