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Senior Manager
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Ps [#permalink] New post 15 Jan 2004, 06:19
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(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

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 [#permalink] New post 15 Jan 2004, 06:35
(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
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 [#permalink] New post 15 Jan 2004, 10:09
10^(a+b)=10^5 so (a+b)=5......
i didnt understand this part of BG
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shubhangi

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 [#permalink] New post 15 Jan 2004, 10:42
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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 [#permalink] New post 15 Jan 2004, 11:39
okay..that's very understandable..thanks Paul
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shubhangi

  [#permalink] 15 Jan 2004, 11:39
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