MHB Absolute Value Definition....1

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The discussion focuses on using the algebraic definition of absolute value to rewrite an expression without absolute value notation. Participants emphasize the importance of understanding the definition, which states that the absolute value of a number is its distance from zero on the number line, leading to two cases based on whether the number is positive or negative. The conversation highlights the need to analyze the expression carefully to determine the correct form. There is a consensus on the necessity of practicing these conversions for better comprehension of absolute value concepts. Overall, the discussion aims to clarify the process of rewriting expressions 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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RTCNTC said:
Use the algebraic definition of absolute value to rewrite the expression below in a form that does not contain absolute value.

See attachment.
Yes:)
 
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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