Question

How do you write 20000 in scientific notation?

Answer 1

Hint: A scientific notation means of expressing very large or small numbers by powers of ten so that the values are more easily understood.
For example: 1000 can be represented in scientific notation as\[1 \times {10^3}\].

Complete step-by-step answer:
A scientific notation is a method of expressing numbers that are too big and too small to be conveniently written in decimal form. The general form to write in scientific notation is,\[N \times {10^m}\],
Where N is the number between 1 and 10, but not 10 itself, and m is any integer.
Now given number is 20000,
First step is to move the decimal place to the left to create a new number from 1 to 10. 20000 is a whole number, the decimal point will be given at the end of the number so the number will be 20000.0,
Now determine the exponent it will be the number of times we moved the decimal, now we moved the decimal 4 times and because we moved the decimal to the left, the exponent is positive, therefore, here\[m = 4\], so we get, \[{10^4}\],
Now substitute the value of N and m in the general form of scientific notation\[N \times {10^m}\],
So we get, \[2 \times {10^4}\],

\[\therefore \]The scientific notation of 20000 will be equal to\[2 \times {10^4}\].

Note:
While writing the numbers in scientific notation we have to follow some rules and they are:
The scientific notations are written in two parts one is just the digits with the decimal point placed after the first digit, followed by multiplication with 10 to a power number of decimal point that puts the decimal point where it should be.
If the number is greater than 1 and multiplies by 10 then the decimal point has to move to the left and the power of 10 will be positive.
If the number is smaller than 1 means in the form of decimal numbers, then the decimal point has to move to the right and the power of 10 will be negative.