Questions: Which number is between 25% and 2/5? 11/25 0.3 1/2 √8

Transcript text: Which number is between $25 \%$ and $\frac{2}{5}$ ? $\frac{11}{25}$ 0.3 $\frac{1}{2}$ $\sqrt{8}$

Solution

Solution Steps

To determine which number is between $25\%$ and $\frac{2}{5}$, we need to convert all the given numbers to a common format (decimals) and then check which one lies between the decimal equivalents of $25\%$ and $\frac{2}{5}$.

Step 1: Convert Percentages and Fractions to Decimals

First, we convert $25\%$ and $\frac{2}{5}$ to their decimal equivalents: \[ 25\% = 0.25 \] \[ \frac{2}{5} = 0.4 \]

Step 2: Convert Given Numbers to Decimals

Next, we convert the given numbers to their decimal forms: \[ \frac{11}{25} = 0.44 \] \[ 0.3 = 0.3 \] \[ \frac{1}{2} = 0.5 \] \[ \sqrt{8} \approx 2.828 \]

Step 3: Identify the Number Between 0.25 and 0.4

We now check which of the given numbers lie between $0.25$ and $0.4$: \[ 0.25 < 0.3 < 0.4 \]