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, |-5| equals 5, as it measures the distance of -5 from 0.
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Properties of Absolute Values
One important property of absolute values is that the absolute value of a product is equal to the product of the absolute values. This means |a * b| = |a| * |b| for any real numbers a and b. This property is crucial for simplifying expressions involving absolute values.
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Multiplication of Real Numbers
Multiplication of real numbers follows specific rules, including the commutative property (a * b = b * a) and the associative property ((a * b) * c = a * (b * c)). Understanding these properties helps in manipulating and simplifying expressions involving multiplication, especially when combined with absolute values.
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