Example Question - decimal form
Here are examples of questions we've helped users solve.
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.
Comparing and Ordering Fractions
The image shows a worksheet titled "Practice 3 Ordering Fractions," and there are three fractions given: \( \frac{1}{2} \), \( \frac{7}{8} \), \( \frac{1}{3} \). The task is to arrange these fractions in order, starting with the smallest. To compare fractions and order them from smallest to largest, we can either find a common denominator for all the fractions or convert them into decimal form. A quick way to compare these is to recognize that: - \( \frac{1}{2} = 0.5 \) - \( \frac{7}{8} \) is just \( \frac{1}{8} \) away from 1, so it is \( 0.875 \). - \( \frac{1}{3} \) is approximately \( 0.333 \). Now we can see the order from smallest to largest is: 1. \( \frac{1}{3} \) (smallest) 2. \( \frac{1}{2} \) 3. \( \frac{7}{8} \) (largest) Thus, the fractions should be arranged as: 1. \( \frac{1}{3} \) 2. \( \frac{1}{2} \) 3. \( \frac{7}{8} \)
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