Chapter 9, Problem 20PT

To determine

To calculate: To write the number in scientific notation

Answer to Problem 20PT

Number in scientific notation is $8\times {10}^{-3}$

Explanation of Solution

Given information: Number is $0.008$

Formula Used: Scientific notation is a way of writing very large or very small numbers.

In scientific notation, number is written between $1$ and $10$ and then multiplied by power of $10$ .

Calculation:

Number is given as follows:

  $0.008$

In scientific notation, number is

  $\begin{array}{l}\Rightarrow \frac{8}{1000}\\ \Rightarrow \frac{8}{{10}^3}\\ \Rightarrow 8\times \frac{1}{{10}^3}\\ \Rightarrow 8\times {10}^{-3}\end{array}$

Conclusion:

Hence, number in scientific notation is $8\times {10}^{-3}$