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# 3/10 + 5/1,00 + 7/100,000 =

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Re: 3/10 + 5/1,00 + 7/100,000 = [#permalink]
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

3/10 + 5/1,00 + 7/100,000 =

(A) 0.357
(B) 0.3507
(C) 0.35007
(D) 0.0357
(E) 0.03507

Problem Solving
Question: 27
Category: Arithmetic Operations on rational numbers
Page: 65
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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count the no of zeros(n) in the denominator and write the number in the numerator in the digit after the decimal after (n-1) zeros
.35007
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Re: 3/10 + 5/1,00 + 7/100,000 = [#permalink]
2
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

3/10 + 5/1,00 + 7/100,000 =

(A) 0.357
(B) 0.3507
(C) 0.35007
(D) 0.0357
(E) 0.03507

3/100 = 0.03 so options D and E can only be considered.

Between denominator of 5 and 7, one of them is 100 times of the other, so there has to be a 0 between 5 and 7. Hence Option E)
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Re: 3/10 + 5/1,00 + 7/100,000 = [#permalink]
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SOLUTION

3/100 + 5/1,000 + 7/100,000 =

(A) 0.357
(B) 0.3507
(C) 0.35007
(D) 0.0357
(E) 0.03507

Convert the fractions into the decimals:

$$\frac{3}{100} + \frac{5}{1,000} + \frac{7}{100,000} =0.03+0.005+0.00007=0.03507$$.

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Re: 3/10 + 5/1,00 + 7/100,000 = [#permalink]
3/100=.03 (Options A,B & C are out)
5/1000=0.005
7/100000=.00007
Ans. E

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$$\frac{3}{100} + \frac{5}{1,000} + \frac{7}{100,000}$$

$$= \frac{3000}{100,000} + \frac{500}{100,000} + \frac{7}{100,000}$$

$$= \frac{3507}{100,000}$$

= 0.03507

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Re: 3/10 + 5/1,00 + 7/100,000 = [#permalink]
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

3/100 + 5/1,000 + 7/100,000 =

(A) 0.357
(B) 0.3507
(C) 0.35007
(D) 0.0357
(E) 0.03507

Problem Solving
Question: 27
Category: Arithmetic Operations on rational numbers
Page: 65
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

Bunuel, Kindly update the subject line of this problem. Its showing up Re: 3/10 + 5/1,00 + 7/100,000 =

I ended up doing wrong

Thank you
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Re: 3/10 + 5/1,00 + 7/100,000 = [#permalink]
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

3/100 + 5/1,000 + 7/100,000 =

(A) 0.357
(B) 0.3507
(C) 0.35007
(D) 0.0357
(E) 0.03507

Problem Solving
Question: 27
Category: Arithmetic Operations on rational numbers
Page: 65
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

This problem is easy to solve if you stay organized and see the trap in answer choices D/E. In this case, 3/*100 * 1000/1000 = 3000/100,000 + 5/1000 * 100/100 = 500/100,000 + 7/100,000 = 3000+500+7/100,000 = 3507/100,000.

3507/100,000 = 0.03507, so the answer tries to trip you up with answers D/E which have the correct number of zeroes after the decimal place but the wrong middle term in the decimal (D is missing a 0 in the ten thousandths column).
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Re: 3/10 + 5/1,00 + 7/100,000 = [#permalink]
0.03+0.005+0.00007=0.03507

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Re: 3/10 + 5/1,00 + 7/100,000 = [#permalink]
[quote="Bunuel"]The Official Guide For GMAT® Quantitative Review, 2ND Edition

3/100 + 5/1,000 + 7/100,000 =

(A) 0.357
(B) 0.3507
(C) 0.35007
(D) 0.0357
(E) 0.03507

Solution :

Make the denominator common with greatest denominator= 7/100,000 = 7 x 10^-5 ---A

3/100 can be expressed as 3 x 10^3 / 10^-5 = 3000/10^-5 -----B

5/1000 can be expressed as 5 x 10^2/ 10^-5 = 500/10^-5 ---- C

A+ B+ C ---> (3000+500+7)/10^-5 = 3507/10^-5

=.03507

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Re: 3/10 + 5/1,00 + 7/100,000 = [#permalink]
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

3/100 + 5/1,000 + 7/100,000 =

(A) 0.357
(B) 0.3507
(C) 0.35007
(D) 0.0357
(E) 0.03507

Problem Solving
Question: 27
Category: Arithmetic Operations on rational numbers
Page: 65
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

$$\frac{3}{100} + \frac{5}{1,000} + \frac{7}{100,000} = \frac{(3000 + 500 + 7)}{100,000} = \frac{3507}{100,000} = .03507$$

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Re: 3/10 + 5/1,00 + 7/100,000 = [#permalink]
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

3/100 + 5/1,000 + 7/100,000 =

(A) 0.357
(B) 0.3507
(C) 0.35007
(D) 0.0357
(E) 0.03507

In $$\frac{3}{100} + \frac{5}{1,000} + \frac{7}{100,000}$$
$$\frac{3}{100}$$ shows that 0.03 must be there.
Hence A, B and C are out.
$$\frac{7}{100,000}$$ has 7 at $$5^{th}$$ place after decimal.

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Re: 3/10 + 5/1,00 + 7/100,000 = [#permalink]
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Re: 3/10 + 5/1,00 + 7/100,000 = [#permalink]
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