MHB Absolute Value Definition....2

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The discussion focuses on rewriting expressions involving absolute value using its algebraic definition. Participants explore methods to eliminate absolute value signs by considering the conditions under which the expression is positive or negative. The conversation emphasizes the importance of understanding the piecewise nature of absolute value. Examples are provided to illustrate the transformation of expressions into their non-absolute value forms. Mastery of this concept is crucial for solving equations and inequalities involving absolute values.
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Use the algebraic definition of absolute value to rewrite the expression below in a form that does not contain absolute value.

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Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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