Evaluate each of the following expressions.
(1) |-27 + 14|
(2) |-8| + |3| = |- 8+3|
To evaluate each of the given expressions, we need to work with absolute values.
1) |-27 + 14|
To evaluate |-27 + 14|, we first need to perform the addition inside the absolute value.
-27 + 14 = -13
Then, we take the absolute value of the result:
|-13| = 13
Thus, the value of the expression |-27 + 14| is 13.
2) |-8| + |3| = |-8 + 3|
To evaluate |-8| + |3|, we first need to find the absolute value of each number separately.
|-8| = 8
|3| = 3
Then, we perform the addition inside the absolute values:
|-8 + 3|
-8 + 3 = -5
Finally, we take the absolute value of the result:
|-5| = 5
So, the value of the expression |-8| + |3| is 5.