Question

put these numbers in order from least to greatest.
-15\frac{4}{20} 0.4 -15 \frac{9}{10}

Explanation:

Step1: Simplify mixed number

Simplify \(-15\frac{4}{20}\). First, simplify the fraction \(\frac{4}{20}=\frac{1}{5} = 0.2\), so \(-15\frac{4}{20}=-15.2\).

Step2: Convert fraction to decimal

Convert \(\frac{9}{10}\) to decimal, \(\frac{9}{10}=0.9\).

Step3: Compare negative numbers

For negative numbers, the larger the absolute value, the smaller the number. \(|-15.2| = 15.2\) and \(|-15| = 15\). Since \(15.2>15\), we have \(-15.2<-15\).

Step4: Compare positive numbers

Compare \(0.4\) and \(0.9\). Since \(0.4<0.9\), we have \(0.4 < \frac{9}{10}\).

Step5: Order all numbers

Combining the results, the order from least to greatest is \(-15\frac{4}{20}, - 15,0.4,\frac{9}{10}\).

Answer:

\(-15\frac{4}{20}, - 15,0.4,\frac{9}{10}\)