Chapter SH, Problem 9.5.2EP

To determine

The number $8.245\times {10}^{-4}$ needs to express in the standard form.

Answer to Problem 9.5.2EP

The number $8.245\times {10}^{-4}$ in the standard form is $0.0008245$ .

Explanation of Solution

Given:

  $8.245\times {10}^{-4}$

Concept Used:

To write the very large or very small numbers easily, the standard form is used. To convert a number into standard form decimal point, addition, subtraction, multiplication and division methods are used.

Calculation:

The given number is: $8.245\times {10}^{-4}$

Here the power of $10$ is $-4$ that means need to move the decimal point with the $4$ on the left side.

  $8.245\times {10}^{-4}=0.0008245$

Hence, the standard form of $8.245\times {10}^{-4}$ is $0.0008245$ .

Conclusion:

Hence, $8.245\times {10}^{-4}=0.0008245$