Chapter 9, Problem 54SGR

To determine

Express the given number in scientific notation.

Answer to Problem 54SGR

The scientific notation of the given number is $5.61\times {10}^{-4}$ .

Explanation of Solution

Given:

Given number: $0.000561$

Concept Used:

A positive number is written in scientific notation when it is expressed in the form:

  $a\times {10}^n$

Where,

$a=$ The number greater than or equals to the $1$ and less than $10$

  $n=$ Integer.

Calculation:

So, here

  $a=0.000561$

  ${10}^n={10}^{-4}$

  $n=-4$

For converting from decimal notation to scientific:

Move decimal points $4$ places to the negative side.

  $\begin{array}{l}0.000561=5.61\times 0.0001\\ 0.00056=5.61\times {10}^{-4}\end{array}$

The exponent is negative.

Conclusion:

Hence, the scientific notation of the given number is $5.61\times {10}^{-4}$ .