Q. 162 - Intermediate Algebra

Question

Write number (a) 57,000 (b) 0.026 in scientific notation 

Step-by-Step Solution

Answer

Numbers in scientific notation are

(a)$5.7\times {10}^4$

(b)$2.6\times {10}^{-2}$

part (a) Step 1 Given information

$57,000$

part (a) Step 2

$$\begin{gathered} 57,000=5.7\times 10000 \\ =5.7\times {10}^4 \end{gathered}$$

part (b) Step 1 Given information

$0.026$

part (b) Step 2

$$\begin{gathered} 0.026=\frac{2.6}{100} \\ =2.6\times {10}^{-2} \end{gathered}$$