Question - Solving a Square Expression
Solution:
To solve the expression $$(1 \frac{1}{2})^2$$ or $$1.5^2$$:First, convert the mixed number to an improper fraction or a decimal. The mixed number $$1 \frac{1}{2}$$ is equivalent to $$1 + \frac{1}{2}$$ or $$1.5$$.If we convert it to an improper fraction, we get $$1 \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2}$$.Then, we need to square this number:In the form of an improper fraction:\[\left(\frac{3}{2}\right)^2 = \frac{3^2}{2^2} = \frac{9}{4}\]In decimal form:$$1.5^2 = 1.5 \cdot 1.5 = 2.25$$Both $$\frac{9}{4}$$ and $$2.25$$ represent the same number, which is the solution to the expression.
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