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0.123 * 10^-3
[#permalink]
16 Feb 2022, 08:00
16 Feb 2022, 08:00
Expert Reply
00:00
Question Stats:
86% (00:48) correct
13% (00:24) wrong based on 15 sessions
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Quantity A |
Quantity B |
\(0.123 \times 10^{-3}\) |
\(12.3 \times 10^{-6}\) |
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 0.123 * 10^-3
[#permalink]
16 Feb 2022, 08:28
16 Feb 2022, 08:28
1
Carcass wrote:
Quantity A |
Quantity B |
\(0.123 \times 10^{-3}\) |
\(12.3 \times 10^{-6}\) |
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Key properties:
If n is a POSITIVE integer, then multiplying a number by \(10^n\), is the same as moving the decimal point in the number n spaces to the RIGHT.
If -n is a NEGATIVE integer, then multiplying a number by \(10^{-n}\), is the same as moving the decimal point in the number n spaces to the LEFT.
So we get:
QUANTITY A: \(0.123 \times 10^{-3} = 00000.123 \times 10^{-3}=0.000123\)
QUANTITY B: \(12.3 \times 10^{-6} = 0000000012.3 \times 10^{-6}= 0.0000123\)
Answer: A
gmatclubot
Re: 0.123 * 10^-3 [#permalink]
16 Feb 2022, 08:28
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