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(1111.0)^2 – (999.0)^2
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24 Apr 2019, 00:52
24 Apr 2019, 00:52
Expert Reply
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00:00
Question Stats:
78% (00:57) correct
21% (00:49) wrong based on 106 sessions
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Quantity A |
Quantity B |
\((1111.0)^2 – (999.0)^2\) |
\((1111.5)^2 – (999.5)^2\) |
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: (1111.0)^2 – (999.0)^2
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24 Apr 2019, 04:52
24 Apr 2019, 04:52
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Carcass wrote:
Quantity A |
Quantity B |
\((1111.0)^2 – (999.0)^2\) |
\((1111.5)^2 – (999.5)^2\) |
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.
Notice that both quantities are expressed as a difference of squares, which means we can factor them.
QUANTITY A: \((1111.0)^2 – (999.0)^2 = (1111 + 999)(1111 - 999) = (2110)(112)\)
QUANTITY B: \((1111.5)^2 – (999.5)^2 = (1111.5 + 999.5)(1111.5 - 999.5) = (2111)(112)\)
At this point, we can see that Quantity B is greater
Answer: B
Cheers,
Brent
(1111.0)^2 (999.0)^2
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13 Aug 2022, 15:42
13 Aug 2022, 15:42
Not sure if this is right, but we may use a small-scale experiment:
QA: 11^2 - 9^2 = 121 - 81 = 40
QB: 11.5^2 - 9.5^2 = 132.25 - 90.25 = 42
B > A
QA: 11^2 - 9^2 = 121 - 81 = 40
QB: 11.5^2 - 9.5^2 = 132.25 - 90.25 = 42
B > A
