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# Which of the following is NOT equal to 0.0675?

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Math Expert
Joined: 02 Sep 2009
Posts: 64185
Which of the following is NOT equal to 0.0675?  [#permalink]

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24 Dec 2018, 22:26
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Difficulty:

5% (low)

Question Stats:

89% (00:49) correct 11% (00:46) wrong based on 92 sessions

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Which of the following is NOT equal to 0.0675?

A. $$67.5*10^{−3}$$

B. $$6.75*10^{−2}$$

C. $$0.675 * 10^{−1}$$

D. $$0.00675 * 10^2$$

E. $$0.0000675 * 10^3$$

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Re: Which of the following is NOT equal to 0.0675?  [#permalink]

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25 Dec 2018, 00:12
Bunuel wrote:
Which of the following is NOT equal to 0.0675?

A. $$67.5*10^{−3}$$

B. $$6.75*10^{−2}$$

C. $$0.675 * 10^{−1}$$

D. $$0.00675 * 10^2$$

E. $$0.0000675 * 10^3$$

Let's travel thru options:-

A. $$67.5*10^{−3}$$ ; shift the decimal by 3 positions to the left, we have 0.0675

B. $$6.75*10^{−2}$$ ; shift the decimal by 2 positions to the left, we have 0.0675

C. $$0.675 * 10^{−1}$$ ; shift the decimal by 1 positions to the left, we have 0.0675

D. $$0.00675 * 10^2$$ ; shift the decimal by 2 positions to the right, we have 0.675

E. $$0.0000675 * 10^3$$; shift the decimal by 3 positions to the right, we have 0.0675

Ans. (D)
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Joined: 02 Mar 2020
Posts: 36
Re: Which of the following is NOT equal to 0.0675?  [#permalink]

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03 Apr 2020, 07:00
Bunuel wrote:
Which of the following is NOT equal to 0.0675?

A. $$67.5*10^{−3}$$

B. $$6.75*10^{−2}$$

C. $$0.675 * 10^{−1}$$

D. $$0.00675 * 10^2$$

E. $$0.0000675 * 10^3$$

basically we look at the decimal counts and going by that only D doesn't work. Thanks for the question, really made me understand negative exponents.
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Joined: 04 Jan 2015
Posts: 3367
Re: Which of the following is NOT equal to 0.0675?  [#permalink]

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04 Apr 2020, 02:41
1

Solution

To find
We need to determine
• Among the given options, which one is not equal to 0.0675

Approach and Working out
Let’s check each option individually:

• $$67.5*10^{−3}$$ = $$67.5 * \frac{1}{1000}$$ = $$0.0675$$
• $$6.75*10^{−2}$$ = $$6.75 * \frac{1}{100}$$ = $$0.0675$$
• $$0.675 * 10^{−1}$$ = $$0.675 * \frac{1}{10}$$ = $$0.0675$$
• $$0.00675 * 10^2$$ = $$0.00675 * 100$$ = $$0.675$$
• $$0.0000675 * 10^3$$ = $$0.0000675 * 1000$$ = $$0.0675$$

Thus, option D is the correct answer.

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Re: Which of the following is NOT equal to 0.0675?   [#permalink] 04 Apr 2020, 02:41