Which expression has a negative value? 7+3 (-4) (2) - 2[12 / (-3) ] (15-7) - (9/3) - 5[7 + (-14) ]-30

Answer

7+3 (-4) (2)

Step-by-step explanation:

As a mutually exclusive question (only one of these four can have the negative value), the other three would be default have non-negative values (either positive or 0).

Solving 7+3 (-4) (2) requires remembering order of operations, which the acronym P. E. M. D. A. S. is useful for (Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction) - between Multiplication and Division, it depends on the order from left to right, the same is true for Addition and Subtraction.

7 + 3 (-4) (2) becomes 7 + (-12) (2), which is 7 + (-24). Adding a negative number to a number is the same as subtraction, so 7 + (-24) becomes 7 - 24, which is - 17. - 17 is less than 0.

For the second problem, - 2[12 / (-3) ] becomes - 2 (-4), which is + 8

For the third problem, (15-7) - (9/3) is 8 - 3, which is + 5

For the fourth problem, - 5 (7 + (-14)) - 30 becomes - 5 (-7) - 30, which becomes 35 - 30. This equals + 5

7+3 (-4) (2) - 2[12 / (-3) ] (15-7) - (9/3) - 5[7 + (-14) ]-30 = 49