Question

How do you write 1,000,000 in scientific notation?

Answer 1

Hint: We first explain the purpose of scientific notation. Then we explain the process. We use the decimal point and move it leftwards to multiply the new number with 10. The multiplied form is the scientific form of the given number.

Complete step-by-step solution:
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
For the given number we move a decimal place to the left one position. The decimal starts from the very end of the number. The more we move to the left, the more we multiply with 10.
We explain the first two steps. The decimal starts after the last zero in 1000000.
Now it goes before the last zero in 1000000 which means we have to multiply 10.
So, 1000000 becomes \[100000.0\times 10\].
Now in the second step the point crosses two zeroes in total which gives \[10000.00\times {{10}^{2}}\].
We go on like this till the decimal point has only one digit to cross to go to the leftmost position of the number.
In 1000000, the movement of the decimal point happens 6 times which means \[1.000000\times {{10}^{6}}\].
Therefore, the scientific notation of 1,000,000 is \[1.000000\times {{10}^{6}}\].

Note: We also can ignore 1 and make the notation as \[{{10}^{6}}\] for the simplicity and mathematical use. The use of \[1.000000\] is unnecessary. But in cases where we have digits other than 0 after decimal, we can’t ignore those digits.