gabbyhellene
Answered

Sandy evaluated the expression below.

[tex]\[
\begin{array}{c}
(-2)^3(6-3)-5(2+3) \\
(-2)^3(3)-5(5) \\
8(3)-25 \\
24-25 \\
-1
\end{array}
\][/tex]

What was Sandy's error?

A. Sandy should have evaluated [tex]\((-2)^3\)[/tex] as -8.
B. Sandy should not have multiplied 5 and 5.
C. Sandy did not add 2 and 3 correctly.
D. Sandy should not have subtracted 3 from 6 first.



Answer :

GinnyAnswer
Let's go through the expression step-by-step and identify where Sandy made an error.

The given expression is:
[tex]\[ (-2)^3(6-3) - 5(2+3) \][/tex]

1. Evaluate [tex]\((-2)^3\)[/tex]:
- [tex]\((-2)^3 = -8\)[/tex] (Sandy incorrectly evaluated it as 8).

2. Evaluate the subtraction [tex]\(6-3\)[/tex]:
- [tex]\(6 - 3 = 3\)[/tex]

3. Multiply [tex]\((-2)^3\)[/tex] by the result of [tex]\(6-3\)[/tex]:
- [tex]\((-8) \times 3 = -24\)[/tex]

4. Evaluate the addition [tex]\(2+3\)[/tex]:
- [tex]\(2 + 3 = 5\)[/tex]

5. Multiply 5 by the result of [tex]\(2+3\)[/tex]:
- [tex]\(5 \times 5 = 25\)[/tex]

6. Subtract the result of the second multiplication from the result of the first multiplication:
- [tex]\(-24 - 25 = -49\)[/tex]

So, Sandy's error was incorrectly evaluating [tex]\((-2)^3\)[/tex] as 8 instead of [tex]\(-8\)[/tex].

Thus, the correct answer is:

Sandy's error was that he evaluated [tex]\((-2)^3\)[/tex] as 8 instead of [tex]\(-8\)[/tex].

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