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Which of the following is NOT equal to 0.0675?

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

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New post 24 Dec 2018, 22:26
1
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

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

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

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

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

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New post 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.

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

Which of the following is NOT equal to 0.0675?

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