Question

If 85² = 7225, write the values of the following:

(1) 8.5²
(2) 0.85²
(3) 0.085²

Answer 1

It is given that 85² = 7225

(1) 8.5²
$$\begin{gathered} ={\left(\frac{85}{10}\right)}^2 \\ =\frac{{\left(85\right)}^2}{{\left(10\right)}^2} \\ =\frac{7225}{100} \\ =72.25 \end{gathered}$$

(2) 0.85²
$$\begin{gathered} ={\left(\frac{85}{100}\right)}^2 \\ =\frac{{\left(85\right)}^2}{{\left(100\right)}^2} \\ =\frac{7225}{10000} \\ =0.7225 \end{gathered}$$

(3) 0.085²
$$\begin{gathered} ={\left(\frac{85}{1000}\right)}^2 \\ =\frac{{\left(85\right)}^2}{{\left(1000\right)}^2} \\ =\frac{7225}{1000000} \\ =0.007225 \end{gathered}$$