Chapter 5.3, Problem 9WE

To determine

To Find: Scientific notation of each number.

Answer to Problem 9WE

Scientific notation of given number is $6.55\times {10}^5$

Explanation of Solution

Given information:

  $655\times {10}^3$

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.

  $655\times {10}^3$

  $\begin{array}{l}655\times {10}^3=655\times {10}^3\times \frac{100}{100}\\ \Rightarrow 655\times {10}^3=\frac{655}{100}\times {10}^3\times 100\\ \Rightarrow 655\times {10}^3=6.55\times {10}^3\times {10}^2\\ \Rightarrow 655\times {10}^3=6.55\times {10}^{3+2}\\ \Rightarrow 655\times {10}^3=6.55\times {10}^5\end{array}$

Therefore,

Scientific notation of given number is $6.55\times {10}^5$