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# Which of the following is the closest to 11*10^10–4*10^4?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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Which of the following is the closest to 11*10^10–4*10^4?  [#permalink]

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01 Sep 2017, 09:08
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76% (01:14) correct 24% (01:22) wrong based on 78 sessions

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Which of the following is the closest to $$11*10^{10}–4*10^4$$?

A. $$10^2$$
B. $$10^7$$
C. $$10^8$$
D. $$10^9$$
E. $$10^{11}$$

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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior SC Moderator Joined: 22 May 2016 Posts: 3844 Which of the following is the closest to 11*10^10–4*10^4? [#permalink] ### Show Tags 01 Sep 2017, 10:27 MathRevolution wrote: Which of the following is the closest to $$11*10^{10}–4*10^4$$? A. $$10^2$$ B. $$10^7$$ C. $$10^8$$ D. $$10^9$$ E. $$10^{11}$$ Which of the answer choices is closest to $$11*10^{10}–4*10^4$$? Factor out $$10^4$$ $$10^4(11*10^{6}) – (4*1)$$ Dismiss latter term, -4. It makes no difference with numbers this large.* Now multiply numbers in the first term to get $$11*10^{10}$$ There are a few ways to go about this. I think the easiest is to assume that 11 is close to 10. Substitute 10 for 11, and because the prompt asks for closest to, that's the answer. The answer cannot be less than whatever we find, because 11 is greater than 10. $$10^1 * 10^{10} = 10^{11}$$ No answer choice is greater than that. It's the closest. ANSWER E **You could dismiss the second term entirely; (some number in the trillions) - (10,000) makes no significant dent in the trillions' value. I did it the way I posted first, just to be sure. _________________ Visit SC Butler, here! Get two SC questions to practice, whose links you can find by date. Our lives begin to end the day we become silent about things that matter. -- Dr. Martin Luther King, Jr. Retired Moderator Status: Long way to go! Joined: 10 Oct 2016 Posts: 1295 Location: Viet Nam Re: Which of the following is the closest to 11*10^10–4*10^4? [#permalink] ### Show Tags 02 Sep 2017, 00:38 MathRevolution wrote: Which of the following is the closest to $$11*10^{10}–4*10^4$$? A. $$10^2$$ B. $$10^7$$ C. $$10^8$$ D. $$10^9$$ E. $$10^{11}$$ $$11*10^{10}–4*10^4 = (10 + 1) * 10^{10} - 4 * 10^4 = 10^{11} + 10^{10} - 4 * 10^4$$ $$10^11 + (10^{10} - 4 * 10^4)$$ is nearer to $$10^{11}$$ than $$10^9$$. Answer E. _________________ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8985 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Which of the following is the closest to 11*10^10–4*10^4? [#permalink] ### Show Tags 03 Sep 2017, 17:44 => $$4*10^4$$ is relative small compared with $$11*10^{10}$$. Thus we can consider $$11*10^{10}$$ only. It is close $$10^{11}$$. Ans: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: Which of the following is the closest to 11*10^10–4*10^4?   [#permalink] 03 Sep 2017, 17:44