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Retired Moderator Status: Darden Class of 2013
Joined: 28 Jul 2009
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The value of (9x10^7)(9x10^8) is closest to which of the following?  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 64% (01:04) correct 36% (01:16) wrong based on 183 sessions

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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

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Originally posted by bakfed on 21 Apr 2010, 09:27.
Last edited by Bunuel on 14 Sep 2015, 07:24, 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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4
3
(9x10^7)(9x10^8) =

81x10^15=

8.1x10^16

which must be closer to 10^17 than 10^16
##### General Discussion
Retired Moderator Status: Darden Class of 2013
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Re: The value of (9x10^7)(9x10^8) is closest to which of the following?  [#permalink]

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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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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

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

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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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1
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.

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

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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

(9x10^7)(9x10^8)

~ (10x10^7) (10x10^8)

= 10^8*10^9

= 10^17, Answer must be (B)
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Re: The value of (9*10^7)(9*10^8) is closest to which of the  [#permalink]

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_________________ Re: The value of (9*10^7)(9*10^8) is closest to which of the   [#permalink] 21 Oct 2019, 18:44
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