Evaluate the following mathematical expression and determine the final integer result.

Answer:The value of the expression

\frac{|-15 + 3|}{2} - |-4 \times 2|

is 【-2】.

The final evaluated result is -2.

The correct result is found by first evaluating the expressions inside the absolute value symbols, which act as grouping symbols. The expression

|-15 + 3|

becomes

|-12|

, which evaluates to

12

. The second part,

|-4 \times 2|

, becomes

|-8|

, which evaluates to

8

. Substituting these simplified values back into the original expression yields

\frac{12}{2} - 8

. Following the order of operations, division is performed first, giving

6

. Finally,

6 - 8

results in

-2

Evaluate the operations inside the first absolute value bars.

|-15 + 3| = |-12|

Order of operations requires treating absolute value bars as grouping symbols, meaning the arithmetic inside must be completed first.

Apply the absolute value to the first result.

|-12| = 12

The absolute value of a number represents its distance from zero, which is always positive.

Evaluate the operations inside the second absolute value bars.

|-4 \times 2| = |-8| = 8

Perform the multiplication inside the grouping symbol first, then take the absolute value of the negative product.

Substitute the evaluated absolute values back into the expression and solve.

\frac{12}{2} - 8 = 6 - 8 = -2

Perform division before subtraction according to the standard order of operations (PEMDAS).

Absolute Value and Order of Operations

Question