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# What's the result when x is rounded to the nearest hundredth

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What's the result when x is rounded to the nearest hundredth [#permalink]  17 Dec 2006, 19:45
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Hi,
I recently joined the forum, and am already learning a lot.

Here's the question:
What's the result when x is rounded to the nearest hundredth?

1. When x is rounded to the nearest thousandth, the result is 0.455
2. The thousandth digit of x is 5

I replied D, but the OA is C.
I don't know what I'm missing. I thought 0.455 can be rounded to 0.45.

Thanks,
DF
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What's the result when x is rounded to the nearest hundredth?

1. When x is rounded to the nearest thousandth, the result is 0.455
2. The thousandth digit of x is 5

Hi

Welcome to the club.

Stmt 1) When X is rounded to nearest thosandth then result is 0.455 then number can be 0.4546 or 0.4554 so not sufficient.

Stmt 2) The thousandth digit of x is 5 , not sufficient

Combine 1,2) x is 0.455
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johnycute wrote:
What's the result when x is rounded to the nearest hundredth?

1. When x is rounded to the nearest thousandth, the result is 0.455
2. The thousandth digit of x is 5

Hi

Welcome to the club.

Stmt 1) When X is rounded to nearest thosandth then result is 0.455 then number can be 0.4546 or 0.4554 so not sufficient.

Stmt 2) The thousandth digit of x is 5 , not sufficient

Combine 1,2) x is 0.455

"rounded to HUNGREDTH", so the answer is 0.46
Intern
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I will go with A
x is not given.

1. x(rounded to thousandth) = 0.455 => x(rounded to 100th) will be = 0.46. sufficient

2. Thousandth digit of x is 5. But no information on 100s digit, so looks insufficient to me
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thanks, got it [#permalink]  18 Dec 2006, 11:14
johnycute,
thanks for the quick reply. I realize my mistake now.
Of course B (and hence D) was wrong; the thousandths digit doesn't tell me anything about the hundredths digit. Guess I wasn't thinking at the time.

Regarding 1, I was rounding it as: 0.455 --> 0.46

My error was that while rounding the # to the nearest hundredth, I was rounding it first to the thousandth and then the hundredth. For some reason, I thought this was the correct way.

I was doing this, which gives me the same result:
0.4548 ==> 0.455 ==> 0.46
or
0.4554 ==> 0.455 ==> 0.46

0.4548 ==> 0.45
or
0.4554 ==> 0.46

Thanks,
DF
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C

From 1) X could be 0.4551..... or 0.4545.........INSUFF

From 2) We dont know enough info about the actual number X INSUFF

Taken together we know x rounded to nearest hundredth = 0.46 SUFF
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