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# Rounding off..

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Senior Manager
Joined: 12 Mar 2010
Posts: 360
Concentration: Marketing, Entrepreneurship
GMAT 1: 680 Q49 V34
Followers: 2

Kudos [?]: 194 [0], given: 87

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06 Oct 2013, 23:00
My doubt is as follows:

Am I correct in saying that rounding off can be applied only once and not redundantly.

I mean if I have to round off 3.4346 to two decimals then it would be 3.435 and then 3.44. (I am applying round off successively) Is this correct?

So, if I have to cut 3.4346 to hundredths, will it be 3.44 or will it be 3.43 ?

Problem:

A digit 8.abc when rounded to tenths is 8.2, what is the value of the digit 8.abc if a=1?

Here, a is given as 1. Hence the digit will be 8.1bc

In this case, can the digit "b" be 4 or it has to be only among 5,6,7,8 and 9?

My doubt is can the digit be 8.146, wherein 8.146 is rounded first to 8.15 and then 8.15 is rounded to 8.2 ?
Math Expert
Joined: 02 Sep 2009
Posts: 38930
Followers: 7746

Kudos [?]: 106388 [3] , given: 11624

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06 Oct 2013, 23:06
3
KUDOS
Expert's post
gmatter0913 wrote:
My doubt is as follows:

Am I correct in saying that rounding off can be applied only once and not redundantly.

I mean if I have to round off 3.4346 to two decimals then it would be 3.435 and then 3.44. (I am applying round off successively) Is this correct?

So, if I have to cut 3.4346 to hundredths, will it be 3.44 or will it be 3.43 ?

Problem:

A digit 8.abc when rounded to tenths is 8.2, what is the value of the digit 8.abc if a=1?

Here, a is given as 1. Hence the digit will be 8.1bc

In this case, can the digit "b" be 4 or it has to be only among 5,6,7,8 and 9?

My doubt is can the digit be 8.146, wherein 8.146 is rounded first to 8.15 and then 8.15 is rounded to 8.2 ?

When rounding we should only take into the account the first dropped digit. Thus 8.146 rounded to the nearest tenth is 8.1, since the dropped 4 is less than 5.

Rounding rules

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.

Hope it helps.
_________________
Re: Rounding off..   [#permalink] 06 Oct 2013, 23:06
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