Chapter 9, Problem 49SGR

To determine

Express the given number in standard form.

Answer to Problem 49SGR

The standard form of the given number is $34000$ .

Explanation of Solution

Given:

Given number: $3.4\times {10}^{-4}$

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

  $a=3.74$

  ${10}^n={10}^4$

  $n=4$

For converting from scientific to decimal notation:

  $\begin{array}{l}3.4\times {10}^4\\ =3.4\times 10000\\ =34\times 1000\\ =34000\end{array}$

Conclusion:

Hence, the standard form of the given number is $34000$ .