Question

 The (Absolute) value of | 12 – (13 + 7 ) × 4 | is ____ *​

Answer 1

Answer:

68

Step-by-step explanation:

|12 - (13 + 7) x 4| (Given)

Let's first evaluate the numerical expression, 12 - (13 + 7) x 4, inside the absolute value sign, i.e., | |, as follows:

You can evaluate the given numerical expression, 12 - (13 + 7) x 4, by using the correct order of operations as explained below:

"Here is a summary of the ideas pertaining to simplifying numerical expressions. When evaluating a numerical expression, perform the operations in the following order.

(1.) Perform the operations inside the symbols of inclusion (parentheses, brackets, braces) and above and below each fraction bar. Start with the innermost inclusion symbol.

(2.) Perform all multiplications and divisions in the order in which they appear from left to right.

(3.) Perform all additions and subtractions in the order in which they appear from left to right." ¹

Therefore, using these rules, we evaluate the given numerical expression as follows:

12 - (13 + 7) x 4 = 12 - (20) x 4

= 12 - 20 x 4

= 12 - 80

= -68

Now, we'll now consider the absolute value of the value for our given numerical expression, i.e., |12 - (13 + 7) x 4| = |-68|. Every real number has an absolute value. The absolute value of a real number is the distance of that number from zero (0) on the number line, and the absolute value is defined for the set of real numbers as follows:

|x| = x if x ≥ 0 and

|x| = -x if x < 0.

Therefore, ...

|-68| = -(-68)

= 68 is the value of |12 - (13 + 7) x 4|.