Question

How do you write 66,793 in scientific notation?

Answer 1

Hint: Now we are given with the number 66,793. To write the number in scientific form we will write it in the form of $x\times {{10}^{n}}$ where n is an integer and x is any number between 1 and 10. Hence we will write the given number in this form.

Complete step-by-step solution:
Now we want to write the given number scientific form.
Let us first understand what numbers are in scientific form.
Any number in scientific form is written as $x\times {{10}^{n}}$ where n is any integer and x is a number such that $1\le x< 10$ .
Now consider the given number 66,793.
To write this number in scientific form we will first find the respective x for the number.
To do so we will place the decimal point in the given number such that we have a number between 1 and 10.
This will be nothing but 6.6793 as $1\le 6.6793< 10$ . Now since we have 4 digits after decimal we have n = 4.
Hence substituting x = 6.9793 and n = 4 we get $6.6793\times {{10}^{4}}$.
Hence we have the given number in scientific form as $6.6793\times {{10}^{4}}$

Note: Now note that if the number is greater than 1 then the value of n will be positive and if the number given is less than 1 then the value of n will be negative. For example if we want to write the number 0.375 in scientific form then we will write it as $3.75\times {{10}^{-1}}$ .