Question

Of the numbers 0.16, $\sqrt{0.16}$, $(0.16{)}^2$ and $0.1\overline{6}$ the least number is

• A. $(0.16{)}^2$
• B. $\sqrt{0.16}$
• C. 0.16
• D. $0.1\overline{6}$

Answer 1

Answer: (A)

$(0.16{)}^2$

0.16 = 0.16
$\sqrt{0.16}=0.4$ $\Rightarrow 0.0256={\left(0.16\right)}^2$
${\left(0.16\right)}^2=0.0256$ $\Rightarrow 0.0256={\left(0.16\right)}^2$
$0.\overline{16}=\mathrm{0.1666....}$ $\Rightarrow 0.0256={\left(0.16\right)}^2$
is the least