Question

In the following exercises, convert each number to decimal form.

(a) $5.2\times {10}^2$ (b)$2.5\times {10}^{-2}$

Short answer

Decimal form is

(a)$5200$

(b)$0.025$

Step-by-step solution

part (a) Step 1 Given information 

$5.2\times {10}^2$

part (a) Step 2

$$\begin{gathered} 5.2\times {10}^2=5.2\times 100 \\ =5200 \end{gathered}$$

part (b) Step 1 Given information 

$2.5\times {10}^{-2}$

part (b) Step 2

$$\begin{gathered} 2.5\times {10}^{-2}=\frac{2.5}{100} \\ =0.025 \end{gathered}$$