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04 Nov 2012, 17:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
50% (00:41) correct
50%
(01:05)
wrong
based on 2
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Curly brackets {} around the last digits of a decimal fraction signify that these digits recur an infinite number of times. For example 0.1{5} is a shorthand for 0.1555555… Similarly, 0.{15} is a shorthand for 0.15151515….
10/99 is which of the following?
0.{11}
0.{101}
0.{10}
0.{09}
0.{01}
So the answer to this is obvious (to anyone that can do long division), unfortunately I haven't done this type of LD since HS and I need a refresher.
The answer is C but I'm failing to understand why there is only 1 zero between the 1s. In the long division process we subtract 99 from 100, leaving 1. Therefore we have to add 2 zeroes to get back to 100 where we can multiply 99 into 1 again to get 100-99... but this obviously is not the case and I'm struggling to understand why.
Can anyone help me out? I've attached a picture of my work...
Thank you so much guys
OPEN DISCUSSION OF THIS QUESTION IS HERE: curly-brackets-around-the-last-digits-of-a-decimal-fraction-signify-229602.html
10/99 is which of the following?
0.{11}
0.{101}
0.{10}
0.{09}
0.{01}
So the answer to this is obvious (to anyone that can do long division), unfortunately I haven't done this type of LD since HS and I need a refresher.
The answer is C but I'm failing to understand why there is only 1 zero between the 1s. In the long division process we subtract 99 from 100, leaving 1. Therefore we have to add 2 zeroes to get back to 100 where we can multiply 99 into 1 again to get 100-99... but this obviously is not the case and I'm struggling to understand why.
Can anyone help me out? I've attached a picture of my work...
Thank you so much guys
OPEN DISCUSSION OF THIS QUESTION IS HERE: curly-brackets-around-the-last-digits-of-a-decimal-fraction-signify-229602.html
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04 Nov 2012, 19:55
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Hey hi,
10/99 = 0.101010
Hope it helps.
Posted from my month
bile device
10/99 = 0.101010
Hope it helps.
Posted from my month
bile device
04 Nov 2012, 22:20
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anon1
The problem in your division is, that you forgot that you had added decimal already and what is its effect.
Try dividing this first: 100000/99
And then come back and try dividing 10.0000/99
Compare these 2 calculations (specially the second one to your calculation)
Hopefully you'll see the underlying concept and results
