Question

How do you divide \[6.65\times {{10}^{22}}\] by \[6.022\times {{10}^{23}}\] using a calculator?

Answer 1

Hint: We can calculate the given division easily in any calculator but it is better to use a scientific calculator. A scientific calculator gives better results for large values than a normal calculator. A Scientific calculator is ideal for students to use in mathematical and scientific studies.

Complete step by step answer:
As per the given question, we have to find the division of \[6.65\times {{10}^{22}}\] by \[6.022\times {{10}^{23}}\]. Numerator means the number which has to be divided by another number. So,
The numerator will be \[6.65\times {{10}^{22}}\] then the denominator becomes \[6.022\times {{10}^{23}}\].

In a scientific calculator, firstly we have to ON the calculator, then press the opening bracket symbol, because we are making multiple calculations. It is better to use brackets for each term to avoid confusion. Then enter the decimal \[6.65\] and press the multiplication symbol. Now, we have to enter the exponent. For this there will be a button showing the power of x. First, enter the base of the exponent and then press the button showing the power of x to enter the exponent. The screen looks like \[6.65\times {{10}^{22}}\].

Now we close the bracket and then press the division button \[\div \] and open a new bracket and enter the denominator in the same process as we did in the numerator and close the bracket. Now press the button printed as ANS to get the result.
The screen looks like \[(6.65\times {{10}^{22}})\div (6.022\times {{10}^{23}})\].
The answer will be \[0.110410096\].
Hence, we can find the answers to any division with exponents using the above process.
\[\therefore \] The answer for \[6.65\times {{10}^{22}}\] divided by \[6.022\times {{10}^{23}}\] is \[0.110410096\].

Note:
While entering exponents be careful whether it is in the place of exponent or base. Also, carefully read the question of which number to be divided by the other number. We should avoid mistakes while entering the numbers like entering 66.5 instead of 6.65 which leads to the wrong solution.