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n equals 10^4 + (2 * 10^2)
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Updated on: 21 Apr 2019, 11:27
Updated on: 21 Apr 2019, 11:27
1
Expert Reply
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Question Stats:
91% (00:46) correct
8% (00:23) wrong based on 69 sessions
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n equals \(10^4 + (2 * 10^2)\)
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.
Quantity A |
Quantity B |
Number of zeros in \(n\) |
Number of zeros in \(n^2\) |
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.
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Re: n equals 10^4 + (2 * 10^2)
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18 Apr 2019, 06:54
18 Apr 2019, 06:54
2
Carcass wrote:
n equals \(10^4 + (2 * 10^2)\)
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.
Quantity A |
Quantity B |
Number of zeros in \(n\) |
Number of zeros in \(n^2\) |
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.
\(n = 10^4 + (2 * 10^2)\)
\(= 10,000 + (2 * 100)\)
\(= 10,000 + 200\)
\(= 10,200\)
If \(n = 10,200\), then \(n^2 = (10,200)^2\)
= (10,200)(10,200)
Do we need to calculate this?
No.
Notice that the product (10,200)(10,200) will have 4 0's at the end
That is, (10,200)(10,200) = -------0000
Since n = 10,200, we can see that n has 3 zeros,
Since n² = -------0000, we can see that n² has AT LEAST 4 zeros,
We get:
QUANTITY A: 3
QUANTITY B: AT LEAST 4
Answer: B
Cheers,
Brent
Re: n equals 10^4 + (2 * 10^2)
[#permalink]
21 Apr 2019, 11:22
21 Apr 2019, 11:22
1
GreenlightTestPrep wrote:
Carcass wrote:
n equals \(10^4 + (2 * 10^2)\)
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.
Quantity A |
Quantity B |
Number of zeros in \(n\) |
Number of zeros in \(n^2\) |
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.
We get:
QUANTITY A: 3
QUANTITY B: AT LEAST 4
Answer: B
Cheers,
Brent
And yet, the 'correct' answer is D.
