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# (3 x 10^4) + (2 x 10^2) + (4 x 10) =

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Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128901 [0], given: 12183

(3 x 10^4) + (2 x 10^2) + (4 x 10) = [#permalink]

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12 May 2016, 01:50
00:00

Difficulty:

5% (low)

Question Stats:

86% (00:29) correct 14% (00:32) wrong based on 162 sessions

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(3 x 10^4) + (2 x 10^2) + (4 x 10) =

A. 302400
B. 32400
C. 30240
D. 3240
E. 324
[Reveal] Spoiler: OA

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Kudos [?]: 128901 [0], given: 12183

Intern
Joined: 07 May 2016
Posts: 26

Kudos [?]: 5 [0], given: 1

Re: (3 x 10^4) + (2 x 10^2) + (4 x 10) = [#permalink]

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12 May 2016, 07:23
Bunuel wrote:
(3 x 10^4) + (2 x 10^2) + (4 x 10) =

A. 302400
B. 32400
C. 30240
D. 3240
E. 324

Hi
When you multiply a number by 10 you just add a zero

=> 3 x 10^4 => add 4 zeros => 3 x 10^4 = 30000
=>2 x 10^2 = 200
=> 4 x 10 = 40

=>3 x 10^4 + 2 x 10^2 + 4 x 10 = 30000 + 200 + 40 = 30240
=> answer is C ( 30240)

Kudos [?]: 5 [0], given: 1

Math Forum Moderator
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3003

Kudos [?]: 1087 [1], given: 325

Location: India
GPA: 3.5
Re: (3 x 10^4) + (2 x 10^2) + (4 x 10) = [#permalink]

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12 May 2016, 07:46
1
KUDOS
Bunuel wrote:
(3 x 10^4) + (2 x 10^2) + (4 x 10) =

A. 302400
B. 32400
C. 30240
D. 3240
E. 324

$$(3 * 10^4)$$ + $$(2 * 10^2)$$ + $$(4 * 10)$$

$$(3 * 10^4)$$ will have 4 zeros after 3; Total No of digits will be 5

$$(2 * 10^2)$$ will have 2 zeros after 2 ; Total No of digits will be 3

$$(4 * 10)$$ will have 1 zeros after 4; Total No of digits will be 2

SO WE WILL HAVE A 5 DIGIT NUMBER ( ONLY OPTIONS B & C SATISFIES )

THe last 2 digits will be 40 ( Since last 2 digits $$(4 * 10)$$ = 40 )

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Abhishek....

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Kudos [?]: 1087 [1], given: 325

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Joined: 18 Oct 2014
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Location: United States
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GPA: 3.98
Re: (3 x 10^4) + (2 x 10^2) + (4 x 10) = [#permalink]

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12 May 2016, 12:36
Bunuel wrote:
(3 x 10^4) + (2 x 10^2) + (4 x 10) =

A. 302400
B. 32400
C. 30240
D. 3240
E. 324

30000+200+40= 30240

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I welcome critical analysis of my post!! That will help me reach 700+

Kudos [?]: 414 [0], given: 69

Intern
Joined: 14 Sep 2015
Posts: 10

Kudos [?]: 10 [0], given: 1

Re: (3 x 10^4) + (2 x 10^2) + (4 x 10) = [#permalink]

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12 May 2016, 12:41
Bunuel wrote:
(3 x 10^4) + (2 x 10^2) + (4 x 10) =

A. 302400
B. 32400
C. 30240
D. 3240
E. 324

Simplified further it becomes

30,000 + 200 + 40 = 30,240

Kudos [?]: 10 [0], given: 1

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16651

Kudos [?]: 273 [0], given: 0

Re: (3 x 10^4) + (2 x 10^2) + (4 x 10) = [#permalink]

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18 Sep 2017, 17:00
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: (3 x 10^4) + (2 x 10^2) + (4 x 10) =   [#permalink] 18 Sep 2017, 17:00
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