Question

How to write 1440000 in Scientific notation.

Answer 1

Hint: To write this number in Scientific notation we will first separate the zeroes and the number by writing it in the form of $a\times {{10}^{b}}$ . Now we will write that a is less than 10 and more than 1 and hence put a decimal point after the required digit. Now adjust the decimal by multiplying ${{10}^{n}}$ where n is the number of digits after decimal point. Hence we get the number in required form.

Complete step-by-step answer:
Now let us first understand what Scientific notation is.
Scientific notation is a way in which we write very large numbers or very small numbers.
In this notation a number is written in the form of $a\times {{10}^{b}}$ where a is a number less than 10 and more than 1 and b is any integer.
Now if the number is very large then the value of b will be positive and if b is very small then the value of b is negative.
For example let us consider a very small number 0.000000007.
Now we can write this number as $\dfrac{7}{100000000}$
Now $\dfrac{1}{100000000}$ is nothing but ${{10}^{-8}}$
Hence $\dfrac{7}{100000000}=7\times \dfrac{1}{100000000}=7\times {{10}^{-8}}$ .
Similarly we can consider a very big number 7463000000000
Now this number can be written as 7463 × 1000000000
Which is nothing but $7.463\times 1000000000000=7.463\times {{10}^{12}}$ .
Hence any number can be written in this notation.
Some of the most used constants are G = $6.67430\times {{10}^{-11}}$ , K = $6.626070\times {{10}^{-34}}$ .
Now consider the given number 1440000
We can write this number as 144 × 10000
Now this is nothing but 1.44 × 100 × 10000 as 1.44 × 100 = 144
Hence 1440000 = 1.44 × 1000000
Hence we can say $1440000=1.44\times {{10}^{6}}$ .
Hence the scientific notation of 1440000 is $1.44\times {{10}^{6}}$

Note: we can directly write the number in scientific notation of a number.
To find a, we will put the decimal point after the first digit. Now to find b calculate the number of zeroes in the number + the number of digits after decimal point. For example in 1440000, a is 1.44 now there are 2 digits after decimal point and 4 zeroes in the given number 1440000. Hence we have b = 4 + 2 = 6. Hence the required number is $1.44\times {{10}^{6}}$