Question

Cara evaluated the expression below.

What was Cara’s error?
Cara multiplied only 4 and 7 together and did not multiply 4 and 13.
Cara evaluated (-4)² incorrectly.
Cara subtracted 2 from 6 incorrectly.
Cara multiplied 2 and 4 incorrectly.

Answer 1

she multiplied 4 and 7 together and did not multiply 4 and 13

4(7 - 13) / 3 = (28 - 52)/3 <== that is what it should be....not (28 - 13) / 3

Answer 2

Cara multiplied only 4 and 7 together and did not multiply 4 and 13.

Explanation:

Let us evaluate the given expression step by step,

`(4(7-13))/(3) +(-4)^(2) -2(6-2)\\`

We can evaluate this expression in two ways; either by subtracting -13 from 7 and then multiply by 4 or by multiplying 4 to 7 and -13.

`(28-52)/(3) +16-2(4)`

`(-24)/(3) +16-8`

`-8+16-8=-16+16=0`

Now let us see where Cara made an error. We can see Cara just multiplied only 4 and 7 together and did not multiply 4 to 13.

Therefore, Cara made error in her first step.