Q. 163 - Intermediate Algebra

Question

Write number (a) 340,000 (b) 0.041 in scientific notation 

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

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