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"Cara evaluated the expression below

4 (7 - 13) / 3 + (- 4) *squared* -2 (6 - 2) =
28 - 13 over 3 + (-4) *squared* - 2 (4) =
15 / 3 + 16 - 8 =
5 + 16 - 8 =
13
What was Cara's error?
Cara multiplied only 4 and 7 together and did not multiply 4 and 13.
Cara evaluated (-4) *squared* incorrectly.
Cara subtracted 2 from 6 incorrectly.
Cara multiplied 2 and 4 incorrectly."What mistake did Cara make while evaluating the expression \( \frac{4(7 - 13)}{3} + (-4)^2 - 2(6 - 2) \)?

A) Cara incorrectly squared the value of -4.

B) Cara mistakenly subtracted 2 from 6.

C) Cara multiplied only 4 and 7 together and neglected 4 and 13.

D) Cara miscalculated the division of 28 by 3.

1 Answer

2 votes

Final answer:

Cara's mistake was that she incorrectly squared the value of -4. Hence, A) is correct.

Step-by-step explanation:

Cara's mistake was that she incorrectly squared the value of -4.

When squaring a negative number, it is important to remember that the square of a negative number is positive.

Thus, (-4)² equals 16, not -16.

In Cara's evaluation, she used -16 instead of 16, which resulted in an incorrect final answer.

User Richard Vergis
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