Question

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

(a) $-8.3\times {10}^2$ (b)$3.8\times {10}^{-2}$

Short answer

Decimal form is

(a)-830

(b)0.038

Step-by-step solution

part (a) Step 1 Given information  

$-8.3\times {10}^2$

part (a) Step 2

$$\begin{gathered} -8.3\times {10}^2=-8.3\times 100 \\ =-830 \end{gathered}$$

part (b) Step 1 Given information  

$3.8\times {10}^{-2}$

part (b) Step 2

$$\begin{gathered} 3.8\times {10}^{-2}=\frac{3.8}{100} \\ =0.038 \end{gathered}$$