Answer: a.[tex](\frac{1}{2})^2<0.45<\frac{2}{3}[/tex]
Step-by-step explanation:
Given numbers: [tex](\frac{1}{2})^2,\frac{2}{3},0.45[/tex]
Simplify them in like decimals .
[tex](\frac{1}{2})^2=\frac{1}{4}=0.25[/tex]
[tex]\frac{2}{3}=0.6666\approx0.66[/tex]
Clearly we can see [tex]0.25<0.66<0.45[/tex] which is equivalent to
[tex](\frac{1}{2})^2<0.45<\frac{2}{3}[/tex]
Therefore the correct order of the numbers is [tex](\frac{1}{2})^2<0.45<\frac{2}{3}[/tex]
