Chapter SH, Problem 9.5.11EP

To determine

The number $9040$ needs to express in scientific notation.

Answer to Problem 9.5.11EP

The number $9040$ in scientific notation is $9.040\times {10}^3$ .

Explanation of Solution

Given:

  $9040$

Concept Used:

To write the very large or very small numbers easily, the scientific notation is used. When any number between $1$ and $10$ which is multiplied with the power of $10$ then the scientific notations are in use.

The formula used to reconstruct the number into scientific notation is:

  $SN=a\times {10}^b$

Where,

New number: $a$

Decimal count: $b$

Calculation:

The given number is: $9040$

Take the given number and move a decimal place to the right one position. Get that:

Original number: $9040$

New number: $a=9.040$

Need to count the number of places on the right decimal place.

New number: $9.040$

Decimal count: $b=3$

Now, reconstruct the number by using the formula of scientific notation:

  $\begin{array}{l}9040=a\times {10}^b\\ 9040=9.040\times {10}^3\end{array}$

Conclusion:

Hence, $9040=9.040\times {10}^3$ .