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# 69,300/(10^5 - 10^3)

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Intern
Joined: 12 Feb 2016
Posts: 11

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Updated on: 03 Oct 2018, 18:39
2
8
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:28) correct 33% (01:12) wrong based on 221 sessions

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69,300/(10^5 - 10^3)

A 0.693
B 0.7
C 0.71
D 6.93
E 7.1

Figured it Out!
(100000-1000)=99,000
69,300/99,000
Divide by 11 = 6,300
Dived by 9 = 7,000
Divide by 10,000 =.7

Originally posted by alextaylor116 on 26 Feb 2016, 10:06.
Last edited by generis on 03 Oct 2018, 18:39, edited 1 time in total.
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03 Jul 2017, 01:07
1
4
$$\frac{69,300}{(10^5 - 10^3)}$$ $$= \frac{693 * 10^2}{10^3(10^2 - 1)}$$

$$\frac{693 * 10^2}{10^3(100 - 1)}$$ $$= \frac{693 * 10^2}{10^3*99}$$

$$\frac{693 * 10^2*10^{(-3)}}{99}$$ $$= \frac{693 * 10^{(2-3)}}{99}$$ $$= \frac{693 * 10^{(-1)}}{99}$$

$$7*10^{(-1)} = 0.7$$

##### General Discussion
Intern
Joined: 14 Jul 2015
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GMAT 1: 680 Q44 V40
GMAT 2: 710 Q49 V37

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26 Feb 2016, 11:40
2
Alternatively:

Top: 693 * 100 = 3*3*7*11*100 = 2^2 * 3^2 * 5^2 * 7 * 11
Bottom: 10(10^4 - 10^2) = 10(10^2 - 10)(10^2 + 10) = 10 * 90 * 110 = 2^3 * 5^3 * 3^2 * 11

When we reduce the resulting fraction, we get 7/10 = 0.7.
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03 Jul 2017, 05:11
We need to find the value of expression $$\frac{69,300}{(10^5 - 10^3)}$$

Denominator can be simplified : $$(10^5 - 10^3) = 100000-1000 = 99000$$

The expression becomes $$\frac{69,300}{(10^5 - 10^3)}$$ = $$\frac{693 * 100}{99 * 1000}$$ = $$\frac{7}{10}$$ = 0.7(Option B)
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03 Jul 2017, 07:55
alextaylor116 wrote:
69,300/(10^5 - 10^3)

A 0.693
B 0.7
C 0.71
D 6.93
E 7.1

$$\frac{69,300}{(10^5 - 10^3)}$$

= $$\frac{69300}{(100000 - 1000)}$$

= $$\frac{69300}{99000}$$

= $$\frac{693}{990}$$

= $$0.70$$

Thus, answer must be (B) 0.70
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03 Oct 2018, 18:39
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: 69,300/(10^5 - 10^3)   [#permalink] 03 Oct 2018, 18:39
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