Chapter 5.3, Problem 10WE

To determine

To Find: Scientific notation of each number.

Answer to Problem 10WE

Scientific notation of given number is $2.5\times {10}^{-4}$

Explanation of Solution

Given information:

  $0.025\times {10}^{-2}$

Concept:

Scientific notation of any number will be in the form

  $a\times {10}^b$

Where value of $a$ must lies between $1$ and $10$ .

Exponent $b$ must be an integer.

  $0.025\times {10}^{-2}$

  $\begin{array}{l}0.025\times {10}^{-2}=0.025\times {10}^{-2}\times \frac{100}{100}\\ \Rightarrow 0.025\times {10}^{-2}=0.025\times 100\times {10}^{-2}\times \frac{1}{100}\\ \Rightarrow 0.025\times {10}^{-2}=2.5\times {10}^{-2}\times {10}^{-2}\\ \Rightarrow 0.025\times {10}^{-2}=2.5\times {10}^{-2-2}\\ \Rightarrow 0.025\times {10}^{-2}=2.5\times {10}^{-4}\end{array}$

Therefore, Scientific notation of given number is $2.5\times {10}^{-4}$