evaluate the following.\n(a) $|6|-7=square$\n(b) $|6 - 7|=square$

evaluate the following.\n(a) $|6|-7=square$\n(b) $|6 - 7|=square$

evaluate the following.\n(a) $|6|-7=square$\n(b) $|6 - 7|=square$

Answer

Explanation:

Step1: Evaluate absolute - value of 6

The absolute value of 6, denoted as $|6|$, is 6 since the absolute value of a positive number is the number itself. So, $|6|-7 = 6 - 7$.

Step2: Calculate 6 - 7

$6-7=-1$.

Step3: Evaluate 6 - 7 inside absolute - value

First, calculate $6 - 7=-1$.

Step4: Evaluate absolute - value of the result

The absolute value of - 1, denoted as $| - 1|$, is 1 since the absolute value of a negative number is its positive counterpart.

Answer:

(a) -1 (b) 1