Find each sum or difference. |-8 - 6|

Verified step by step guidance

1. Identify the expression inside the absolute value: \(-8 - 6\).
2. Calculate the expression inside the absolute value: \(-8 - 6 = -14\).
3. Apply the absolute value operation: \(|-14|\).
4. Recall that the absolute value of a number is its distance from zero on the number line, which is always non-negative.
5. Therefore, the absolute value of \(-14\) is \(14\).

Key Concepts

Absolute Value

Absolute value refers to the distance of a number from zero on the number line, regardless of direction. It is denoted by vertical bars, such as |x|, and always yields a non-negative result. For example, |-8| equals 8, as it is 8 units away from zero.

Operations with Integers

Operations with integers involve basic arithmetic functions such as addition, subtraction, multiplication, and division. When dealing with negative integers, it is crucial to remember the rules for combining positive and negative values. For instance, subtracting a positive number from a negative number results in a more negative value.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In the expression |-8 - 6|, the subtraction must be performed before applying the absolute value.