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# Ps

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Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
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Kudos [?]: 9 [0], given: 0

Ps [#permalink]  15 Jan 2004, 06:19
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
(0.02*10^a)(1.3*10^b)=2.6*10^3.Then what is the value of a+b=?

3
5
8
2/3
6
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shubhangi

Director
Joined: 13 Nov 2003
Posts: 793
Location: BULGARIA
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Kudos [?]: 27 [0], given: 0

(0.02*10^a)(1.3*10^b)=10^(a+b)*0.026=2,6*10^3, 10^(a+b)=(2,6*10^3)/0,026, 10^(a+b)=10^5 so (a+b)=5
Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
Followers: 1

Kudos [?]: 9 [0], given: 0

10^(a+b)=10^5 so (a+b)=5......
i didnt understand this part of BG
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shubhangi

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
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Think of it this way. 2.6*10^3 = 2600
What you need to have is 2 x 1300 in order to have 2600
Therefore, (.02) * 10^a, in order for the expression to be equal to 2, a needs to be = 2
For (1.3)*10^b to be equal to 1300, you need b = 3
Therefore, a+b = 2+3 = 5. I mean, you can figure it out the algebraic way but if you're not comfortable with that, don't do it. It will just save you time on the exam and THAT is crucial
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Best Regards,

Paul

Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
Followers: 1

Kudos [?]: 9 [0], given: 0

okay..that's very understandable..thanks Paul
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shubhangi

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