Chapter 9, Problem 52SGR

To determine

Express the given number in scientific notation.

Answer to Problem 52SGR

The scientific notation of the given number is $2.688\times {10}^4$ .

Explanation of Solution

Given:

Given number: $26880$

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

  $a=26880$

  ${10}^n={10}^4$

  $n=4$

For converting from decimal notation to scientific:

Move decimal points $4$ places to the right hand side.

  $\begin{array}{l}26880=2.688\times 10000\\ 26880=2.688\times {10}^4\end{array}$

The exponent is positive.

Conclusion:

Hence, the scientific notation of the given number is $2.688\times {10}^4$ .