Question

How do you write 36,000,000 in scientific notation?

Answer 1

We use scientific notation for writing very large numbers into smaller format. We write scientific notation by some number from 1 to 10 multiplied by power of 10 such that the result is equal to the original number. Scientific notation of 1984 is$1.984\times {{10}^{3}}$. We just divide the number by power of 10 such that the quotient is between 1 to 10 then multiply it with power of 10.

Complete step by step answer:
To write scientific notation of a number we write a number between 1 to 10 multiply it with power of 10 such that the resulting notation will be equal to the number. So to do that we first have to divide the number by some power of 10 such that the quotient will be between 1 to 10 then multiply with power of 10.
For example we have to find the scientific notation of 1984 first we have to divide 1984 by some power of 10 such that the result is between 1 to10. So the answer would be${{10}^{3}}$ . If we divide 1984 by ${{10}^{3}}$ then the result is 1.984. Then we can multiply with ${{10}^{3}}$ . That means the answer is$1.984\times {{10}^{3}}$.
So we can write
$1984=\dfrac{1984}{{{10}^{3}}}\times {{10}^{3}}$
$\Rightarrow 1984=1.984\times {{10}^{3}}$
In our case we have to find the scientific notation of 36,000,000 we have to divide 36,000,000 with power of 10 such that quotient is between 1 to 10 then multiply with it. The divisor will be${{10}^{7}}$.
$36,000,000=\dfrac{36,000,000}{{{10}^{7}}}\times {{10}^{7}}$
$\Rightarrow 36,000,000=3.6\times {{10}^{7}}$

Note:
Another shortcut method to write in scientific notation of x is if $x>1$ or $x<-1$ then we can simply put a decimal sign in between the first 2 digits from left then multiply with 10 to the power the total number of digits between original and new decimal . If $x<1$ or $x>-1$ then the decimal sign would be between the first 2 digits from right then multiply with 10 to the power minus of total number of digits between original and new decimal.