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The value of (9x10^7)(9x10^8) is closest to which of the following?

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The value of (9x10^7)(9x10^8) is closest to which of the following? [#permalink]

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New post 21 Apr 2010, 08:27
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The value of (9x10^7)(9x10^8) is closest to which of the following?

A. 10^16
B. 10^17
C. 10^56
D. 10^57
E. 10^58
[Reveal] Spoiler: OA

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Last edited by Bunuel on 14 Sep 2015, 06:24, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: The value of (9x10^7)(9x10^8) is closest to which of the following? [#permalink]

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New post 21 Apr 2010, 09:12
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(9x10^7)(9x10^8) =

81x10^15=

8.1x10^16

which must be closer to 10^17 than 10^16
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Re: The value of (9x10^7)(9x10^8) is closest to which of the following? [#permalink]

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New post 21 Apr 2010, 09:36
thanks; that makes sense. I don't know why I'm trying to fight it so badly.
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Re: The value of (9x10^7)(9x10^8) is closest to which of the following? [#permalink]

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New post 21 Apr 2010, 21:14
bakfed wrote:
The value of (9x10^7)(9x10^8) is closest to which of the following?

A. 10^16
B. 10^17
C. 10^56
D. 10^57
E. 10^58

Please explain.

multiplying these we get,
81 x 10^7 x 10^8
= 8.1 x 10^16
which is closer to 10^17
hence it will be B
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Re: The value of (9x10^7)(9x10^8) is closest to which of the following? [#permalink]

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New post 18 May 2017, 03:03
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The value of (9x10^7)(9x10^8) is closest to which of the following? [#permalink]

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New post 18 May 2017, 03:06
bakfed wrote:
The value of (9x10^7)(9x10^8) is closest to which of the following?

A. 10^16
B. 10^17
C. 10^56
D. 10^57
E. 10^58



\((9*10^7)(9*10^8)\)
= \((81*10^{15})\)
= \((8.1*10^{16})\)

So the closest value = \(10^{17}\)
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Re: The value of (9x10^7)(9x10^8) is closest to which of the following? [#permalink]

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New post 22 May 2017, 17:32
bakfed wrote:
The value of (9x10^7)(9x10^8) is closest to which of the following?

A. 10^16
B. 10^17
C. 10^56
D. 10^57
E. 10^58


We can simplify the given expression.

(9 x 10^7)(9 x 10^8) = 9^2 x 10^15

We can immediately eliminate answer choices C, D, and E since powers of 10 in the order of 56, 57, or 58 is nowhere near the order of 15. We only need to decide between answer choices A and B. We note that 9^2 = 81 is closer to 100 than to 10; therefore, of the provided answer choices, 9^2 x 10^15 is closest to 10^17.

Answer: B
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Re: The value of (9x10^7)(9x10^8) is closest to which of the following?   [#permalink] 22 May 2017, 17:32
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