Solving a Square Expression
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.
