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garyljc
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Homework Statement
Rewrite the following expressions without absolute value signs, treating various cases separately where neccesary
Homework Equations
a-Abs[(a-(abs)a)]
the question is do i have 2 answers to this ?
Yes there will be two cases. At first inspection one might conclude that there would be four cases, but you should note that one of the absolute functions is not necessary.garyljc said:the question is do i have 2 answers to this ?
Hootenanny said:Yes there will be two cases. At first inspection one might conclude that there would be four cases, but you should note that one of the absolute functions is not necessary.
The purpose of using absolute value signs in expressions is to indicate the distance of a number from zero on a number line. It ensures that the result of the expression is always positive, regardless of the sign of the number.
Yes, an expression without absolute value signs can have negative values. The absence of absolute value signs does not restrict the expression from producing negative results.
To simplify an expression without absolute value signs, you can follow the standard order of operations (PEMDAS) and combine like terms. If there are still absolute value signs present, you can evaluate the expression for both positive and negative values and then compare the results.
No, it is not necessary to use absolute value signs in all expressions. They are typically used when dealing with distance, magnitude, or absolute difference.
Yes, absolute value signs can be used in complex expressions with multiple operations. They follow the same rules of order of operations and can be evaluated along with other operations in the expression.