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Re: If x and y each represent a single digit, does the number 8.3xy round [#permalink]

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27 Oct 2014, 14:33

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This post received KUDOS

Answer is A

If x and y each represent a single digit, does the number 8.3xy round to 8.3 when it is rounded to the nearest tenth?

Question is asking if 8.3xy = 8.3 when tenth place of decimal is rounded. Tenth's place is 3 and it should remain 3. Which means x should be 0,1,2,3 or 4. Anything 5 and above will make it 3.4.

1) x = 5. The number will not be equal to 8.3 Sufficient.

2) y = 9. This does not tell about x. Not Sufficient.

Re: If x and y each represent a single digit, does the number 8.3xy round [#permalink]

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If x and y each represent a single digit, does the number 8.3xy round to 8.3 when it is rounded to the nearest tenth?

(1) x = 5 (2) y = 9

I pick choice answer "C" for this question. I do not understand why Answer choice "A" is the correct one since 8.35 is half way between 8.30 and 8.40.

Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, ROUND UP the last digit that you keep. If the first dropped digit is 4 or smaller, ROUND DOWN (keep the same) the last digit that you keep.

Example: 5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5. 5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5. 5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.

So, according to the above 8.35y rounded to the nearest tenth will be 8.4 irrespective of the value of y.

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