Question

In the following exercises, write each number in scientific notation.

ⓐ 340,000 ⓑ 0.041

Short answer

Numbers in scientific notation are

(a)$3.4\times {10}^5$

(b)$4.1\times {10}^{-2}$

Step-by-step solution

part (a) Step 1 Given information 

340,000

part (a) Step 2

$$\begin{gathered} 340,000=3.4\times 100000 \\ =3.4\times {10}^5 \end{gathered}$$

part (b) Step 1 Given information 

0.041

part (b) Step 2

$$\begin{gathered} 0.041=\frac{4.1}{100} \\ =4.1\times {10}^{-2} \end{gathered}$$