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If digit h is the hudredths' digit in the decimal d=0.2h6, what is the value of d, rounded to the nearest tenth?

Given: d=0.2h6.

(1) d < 1/4 --> 1/4 = 0.25 --> 0.2h6<0.25 --> h<5 (0.2<d<0.25)--> d, rounded to the nearest tenth will be 0.2. Sufficient.

(2) h < 5 --> the same as above: d, rounded to the nearest tenth will be 0.2. Sufficient.

Answer: D.

Note: 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.

Re: If digit h is the hundredths' digit in the decimal d=0.2h6, [#permalink]
24 Sep 2013, 17:37

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Re: hundreth digit [#permalink]
18 Mar 2014, 22:10

Hi Bunuel,

You mean to say that we completely ignore the 1000th digit ("6" in this question) and irrespective of it being more than 5, we will use the 100th digit and answer the question according to that. I thought we look at "6", so if we assume the 100th digit to be 4 (less than "5") it becomes 0.246, which first rounds off to 0.25 (because 6 is greater than 5) and then answer becomes is 0.3, rounding off 0.25->0.3. I think this was the wrong way (however, we were taught this in primary school). This is a learning for me. Please confirm.

Re: hundreth digit [#permalink]
19 Mar 2014, 01:49

1

This post received KUDOS

Expert's post

Eshan wrote:

Hi Bunuel,

You mean to say that we completely ignore the 1000th digit ("6" in this question) and irrespective of it being more than 5, we will use the 100th digit and answer the question according to that. I thought we look at "6", so if we assume the 100th digit to be 4 (less than "5") it becomes 0.246, which first rounds off to 0.25 (because 6 is greater than 5) and then answer becomes is 0.3, rounding off 0.25->0.3. I think this was the wrong way (however, we were taught this in primary school). This is a learning for me. Please confirm.

Looking forward to hearing from you.

Thanks and regards,

Eshan

Yes, when rounding to the nearest tenth, we only need to know the hundredth: when rounding we are interested in the first dropped digit. So, 0.246 rounded to the tenth is 0.2, not 0.3.

Re: hundreth digit [#permalink]
19 Mar 2014, 19:04

Bunuel wrote:

Eshan wrote:

Hi Bunuel,

You mean to say that we completely ignore the 1000th digit ("6" in this question) and irrespective of it being more than 5, we will use the 100th digit and answer the question according to that. I thought we look at "6", so if we assume the 100th digit to be 4 (less than "5") it becomes 0.246, which first rounds off to 0.25 (because 6 is greater than 5) and then answer becomes is 0.3, rounding off 0.25->0.3. I think this was the wrong way (however, we were taught this in primary school). This is a learning for me. Please confirm.

Looking forward to hearing from you.

Thanks and regards,

Eshan

Yes, when rounding to the nearest tenth, we only need to know the hundredth: when rounding we are interested in the first dropped digit. So, 0.246 rounded to the tenth is 0.2, not 0.3.