Q. 163 - Intermediate Algebra

Question

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

ⓐ 340,000 ⓑ 0.041

Step-by-Step Solution

Answer

Numbers in scientific notation are

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

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

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

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