Question

How do you write $0.007983\times {{10}^{4}}$ in scientific notation?

Answer 1

Scientific notation is a way of writing very large or very small numbers. For converting numbers in scientific notation, move the decimal point so that you have a number that is between $1$ and $10.$ Then count the number of decimal places moved. If the decimal point was moved to the left the count is positive. If the decimal point is moved to the right the count is negative. Now multiply the decimal count with the base $10.$

Complete step-by-step answer:
As per question we have to convert the number $0.0074983\times {{10}^{4}}$ in the scientific notation. This number is in the exponential form but not in the scientific notation.
$0.0074983\times {{10}^{4}}$ move the decimal place after moving you will get $7.4983\times {{10}^{4}}$ move decimal place to right then add a power of ten that tells how many places you moved the right.

Now, count how many places you moved the decimal point. We have move it to $3$ places to the right by nothing the number should be multiplied by ${{10}^{-3}}$ now we have $7.4983\times {{10}^{4}}\times {{10}^{-3}}$. We have written ${{10}^{-3}}$ because the decimal has moved to the right.

Additional Information:
A power of ten with a positive exponent such as ${{10}^{3}}$ means the decimal was moved to the left.
A power of ten with a negative exponent such as ${{10}^{-3}}$ means the decimal was moved to the right.
The proper format for scientific notation is $a\times {{10}^{b}}$ where $A$ is a number of decimal number such the absolute value of $a$ is graph greater than or equal to one and less than or equal $1<\left| 0 \right|\le 10$ $b$ is the of required so that the scientific notation is mathematically equivalent to the original number.

Note:
When writing in scientific notation only include significant figures in the real number. $'a'$ significant figures are covered in another section. To express a number in scientific notation you move the decimal place to the right if the number is less than zero or to the left if the number is greater than zero. Always remember do not insert zeros between the number and the decimal point always make sure you move the decimal point in the right to left direction.