Question

The distance between the sun and Mars is approximately $141,000,000$ miles, how do you write it in scientific notation?

Answer 1

Hint: We will write the first or the leftmost digit and put a decimal point after that. Then we will write the rest of the digits, after that we count the number of the digits after the decimal point. Then we remove the zeros after the last non-zero digit. Then we multiply the number with $10$ to power the number of digits after the decimal point.

Complete step by step answer:
Let us consider the number $141,000,000.$
We are asked to write this number in the scientific notation. So, we are going to write the exponential form of the given number since it is the scientific notation.
We will write the leftmost digit first and then we will count the rest of the digits after putting a decimal point after the first digit. Then we will multiply the decimal number obtained with $10$ to power the number of digits after the decimal number.
The leftmost digit is $1$ and we put a decimal point after that. And then we will write the rest of the digits, we will get $1.41000000.$
Let us count the number of the digits after the decimal point. And it is $8.$
So, the power of $10$ will be $8.$
Let us eliminate the zeros from the above obtained decimal number and multiply the number with ${{10}^{8}}.$
We will get $1.41\times {{10}^{8}}.$
Hence the scientific notation of the given number is given by $1.41\times {{10}^{8}}.$

Note:
We can see that the large number we are given is transformed to a small one by writing it in the scientific notation. Scientists use this notation for they deal with complex calculations with large numbers.