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04.04.2020 •
Mathematics
Haley’s work evaluating (Negative 2) Superscript 8 is shown below.
(Negative 2) Superscript 8 = (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) = negative 256
Which statement best describe Haley’s first error?
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Ответ:
D
Step-by-step explanation:
The statements are shown below:
A) She used the wrong number as a repeated factor and should have evaluated -2x2x2x2x2x2x2x2.
B) She used the wrong number as a repeated factor and should have evaluated -(8x8).
C) She misinterpreted the exponential form and should have multiplied -2 and 8.
D) She made a sign error when multiplying and should have had 256 as a final answer.
Solution:
The problem to simplify is:
Haley's steps are shown below:
Generally,
So, Haley wrote "-2" eight times multiplied together. That is okay.
Now,
We are dealing with negative numbers.
When negative numbers are multiplied "odd" number of times, the answer is negative.When negative numbers are multiplied "even" number of times, the answer is positive.Haley wrote "-2" eight times, which is EVEN number of times, so the answer would be POSITIVE. But, Haley's answer is negative. Which is wrong. But "256" is right.
Haley's error is:
Answer choice D
Ответ:
212/40 = 5.3
159 plus 266 = 425
425/50 = 8.5
Quarters: 36
Dimes: 25