Here are the essential concepts you must grasp in order to answer the question correctly.
Absolute Value
The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted by vertical bars, such as |x|, and is always non-negative. For example, |−8| equals 8, and |−6| equals 6, as both values are 8 and 6 units away from zero, respectively.
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Operations with Absolute Values
When performing operations involving absolute values, it is essential to first evaluate the absolute values of the individual numbers before applying any arithmetic operations. For instance, in the expression |−8 - 6|, you would first calculate the result of −8 - 6, which equals −14, and then find the absolute value, resulting in |−14| = 14.
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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 context of absolute values, it is crucial to follow these rules to correctly evaluate expressions involving multiple operations.
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