Which of the following expressions are equivalent to (-19+3)-6 A.−19+3−6 B.−19+(3−6) C.−19−3−6 D.−(19+3)−6−(19−3+6)

Question

I need help with this problem because i dont understand.

Answer 1

Hi, Anss.

Okay, this is just showing how order of operations can affect an answer.

The first expression (-19 + 3) - 6 = (-16) - 6 = -22

If you're familiar with PEMDAS, then you know that the order of operations is:

Parentheses

Exponents

Multiplication/Division (left to right)

Addition/Subtraction (left to right)

So, first you must solve the expressions in the parentheses, and then you do the add/sub. left to right.

So, let's look at the answers:

A. -19 + 3 - 6 = -16 - 6 = -22

B. -19 + (3 - 6) = -19 + (-3) = -22

C. -19 - 3 - 6 = -22 - 6 = -28

D. -(19 + 3) - 6 - (19 - 3 + 6) = -(22) - 6 - (22) = -28 - 22 = -50

So, the correct answers are A and B

Answer 2

When considering the order of operations, (-19+3)-6 can be simplified to -16-6=-22.

A. -19+3-6 since there are no parenthesis in this equation we just add and subtract from left to right which would also give you -16-6=-22

B. -19+(3-6) once again we do parenthesis first giving us -19-3=-22

C. -19-3-6 we would subtract from left to right -22-6=-28

D.-(19+3)-6-(19-3+6) first do the parenthesis -22-6-22=-50

In this situation Both A and B would be equivalent as they all are equal to -22