Question

How do you write $8.07\times {{10}^{3}}$ in standard notation?

Answer 1

Hint: In this question, we have to find the standard notation of the given term. Thus, we will use the basic mathematical rule to get the solution. As we know, standard notation means writing down the large numbers or the small numbers into a whole number. Thus, in this problem, we will first remove the decimal point by putting 100 in the denominator, because we have two numbers after the decimal point. After that, we will open the cube of 10 and make the necessary calculations, to get the required solution for the problem.

Complete step by step solution:
According to the problem, we have to find the standard notation.
Thus, we will use the basic mathematical rule to get the solution.
The term given to us is $8.07\times {{10}^{3}}$ ---------- (1)
First, we will remove the decimal point of the equation (1) that is we see that there are 2 numbers after the decimal point, thus we will put 100 on the denominator and remove the decimal from the numerator, we get
$\Rightarrow \dfrac{807}{100}\times {{10}^{3}}$
Now, we will open the cube of 10, we get
$\Rightarrow \dfrac{807}{100}\times 10\times 10\times 10$
On further solving the above tern, we get
$\Rightarrow \dfrac{807}{100}\times 100\times 10$
Now, we can cancel the same terms in the division, with quotient 1, we get
$\Rightarrow 807\times 10$
On further simplification, we get
$\Rightarrow 8070$ which is the required solution.

Therefore, for the term $8.07\times {{10}^{3}}$ , its standard notation is equal to 8070.

Note: While solving this problem, do mention all the steps properly to avoid mathematical errors and confusion. Do remember that the given term is in the form of scientific notation and we and to convert it into standard notation, that is converting it into simpler form.