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If 0.0010203∗10n0.0010203∗10n is greater than 100,000, what is the lea
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21 Dec 2021, 06:05
21 Dec 2021, 06:05
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If 0.0010203∗10n0.0010203∗10n is greater than 100,000, what is the least possible integer value of n?
A 5
B 6
C 7
D 8
E 9
A 5
B 6
C 7
D 8
E 9
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Re: If 0.0010203∗10n0.0010203∗10n is greater than 100,000, what is the lea
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21 Dec 2021, 06:21
21 Dec 2021, 06:21
1
Carcass wrote:
If 0.0010203∗10n0.0010203∗10n is greater than 100,000, what is the least possible integer value of n?
A 5
B 6
C 7
D 8
E 9
A 5
B 6
C 7
D 8
E 9
If \(n\) is a positive integer, then multiplying by \(10^n\) has the effect of moving the decimal place \(n\) units to the right
\(0.0010203 \times 10^1 = 0.010203\)
\(0.0010203 \times 10^2 = 0.10203\)
\(0.0010203 \times 10^3 = 1.0203\)
etc
So,
\(0.0010203 \times 10^5 = 102.03\), which is NOT greater than \(100,000\). ELIMINATE A
\(0.0010203 \times 10^6 = 1020.3\), which is NOT greater than \(100,000\). ELIMINATE B
\(0.0010203 \times 10^7 = 10,203\), which is NOT greater than \(100,000\). ELIMINATE C
\(0.0010203 \times 10^8 = 102,030\), which is greater than \(100,000\)
Answer: D
gmatclubot
Re: If 0.0010203∗10n0.0010203∗10n is greater than 100,000, what is the lea [#permalink]
21 Dec 2021, 06:21
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