Question

How do you write 70, 000 in scientific notation?

Answer 1

Hint: To write a number 70, 000 into scientific notation. The general method for writing any number into scientific notation is as follows: first of all, we have to write the number in such a manner so that it has two parts which are written in the product form. The first part of the number should be in between 1 to 10 and the second part has some integral power of 10. Now, to achieve it we have to adjust the given number in such a way so that the first part lies in between 1 to 10 and the power of 10 is adjusted according to the first part.

Complete step-by-step solution:
The number given above of which we are asked to write the scientific notation is as follows:
70, 000
First of all, we are going to convert the number by putting decimal to it so that the number will lie in between 1 to 10. If we put decimal between 7 and the 0 written after it then the number will lie in between 1 to 10.
7.0000
As we have got the first part of the scientific notation but our number has been changed so we have to multiply this number by some power of 10 to adjust the decimal. We have put decimal 4 numbers from the last number so we have to write 4 as the power of 10.
Multiplying ${{10}^{4}}$ to 7.0000 we get,
$\Rightarrow 7.0000\times {{10}^{4}}$
From the above, the scientific notation for the given number as follows:
$7.0000\times {{10}^{4}}$

Note: We can verify if the scientific notation which we have written for the given number is correct or not as follows:
The trick to verify is by multiplying ${{10}^{4}}$ to 7.0000. When we multiply the positive power to a decimal then decimal will be shifted in respect to the power of 10. As the power of 10 is 4 so the decimal will be shifted 4 numbers from its original position. Then the number that we will get is:
70000.0
We know that 0 after decimal is insignificant so we can write the above number as:
70, 000
Hence, we got the same number as we have started with so the scientific notation that we have written is correct.