Question

b) plot \\(\frac{1}{10}\\) and 25% on the number line
(c) based on your answers above, compare \\(\frac{1}{10}\\) \\(\square\\) 25%
25% \\(\square\\) 0.25

Explanation:

Step1: Convert to decimals

Convert \(\frac{1}{10}\) to decimal: \(\frac{1}{10} = 0.1\).
Convert \(25\%\) to decimal: \(25\%=\frac{25}{100}=0.25\).

Step2: Compare values

Compare \(0.1\) (which is \(\frac{1}{10}\)) and \(0.25\) (which is \(25\%\)): \(0.1 < 0.25\), so \(\frac{1}{10}<25\%\).
Compare \(25\%\) (which is \(0.25\)) and \(0.25\): \(0.25 = 0.25\), so \(25\% = 0.25\).

Answer:

For \(\boldsymbol{\frac{1}{10}\ \square\ 25\%}\): \(\frac{1}{10} < 25\%\)
For \(\boldsymbol{25\%\ \square\ 0.25}\): \(25\% = 0.25\)