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QOTD#22 67.345×1015 is equivalent to which of the following?
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25 Apr 2017, 16:57
25 Apr 2017, 16:57
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Question Stats:
24% (00:37) correct
75% (00:48) wrong based on 37 sessions
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\(67.345 * 10^{15}\) is equivalent to which of the following?
Indicate all possible values.
A. \(6.7345 \times 1000^{13}\)
B. \(673.45 \times 10^{16}\)
C. \(6.7345 \times 10^{16}\)
D. \(67.345 \times 100^{14}\)
E. \(0.0067345 \times 10^{18}\)
Indicate all possible values.
A. \(6.7345 \times 1000^{13}\)
B. \(673.45 \times 10^{16}\)
C. \(6.7345 \times 10^{16}\)
D. \(67.345 \times 100^{14}\)
E. \(0.0067345 \times 10^{18}\)
Drill 4
Question: 5
Page: 321-322
Question: 5
Page: 321-322
Re: QOTD#22 67.345×1015 is equivalent to which of the following?
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02 May 2017, 17:01
02 May 2017, 17:01
Expert Reply
Explanation
To solve this question, remember that for every space the decimal in the base number moves to right, the power of ten should decrease by 1, and vice versa.
For choice (A), \(1000^{13} = 10^{15}\), so the decimal should not have moved.
In choice (B), moving the decimal 1 space to the right means that \(10^{15}\) should decrease by 1 to become \(10^{14}\).
Eliminate choices (A) and (B).
For choice (C), moving the decimal 1 space to the left means that the power should increase by 1; this is correct.
For choice (D), \(100^{14}\) is equivalent to \(10^{15}\), so this is correct.
For choice (E), moving the decimal 4 spaces to the left means that the power should increase by 4; this is not correct.
The correct answers are (C), (D).
To solve this question, remember that for every space the decimal in the base number moves to right, the power of ten should decrease by 1, and vice versa.
For choice (A), \(1000^{13} = 10^{15}\), so the decimal should not have moved.
In choice (B), moving the decimal 1 space to the right means that \(10^{15}\) should decrease by 1 to become \(10^{14}\).
Eliminate choices (A) and (B).
For choice (C), moving the decimal 1 space to the left means that the power should increase by 1; this is correct.
For choice (D), \(100^{14}\) is equivalent to \(10^{15}\), so this is correct.
For choice (E), moving the decimal 4 spaces to the left means that the power should increase by 4; this is not correct.
The correct answers are (C), (D).
Re: QOTD#22 67.345×1015 is equivalent to which of the following?
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26 Aug 2017, 11:59
26 Aug 2017, 11:59
1
E is incorrect, I was confused when I looked at the answer but confirmed it is wrong by plugging the values into wolframalpha and getting 10 instead of 1.
