Question

A package of 14 sheets of paper costs \[\$0.84\]. How much does one sheet of paper cost?

Answer 1

Hint: In the given question, we need to find the cost of one sheet. To find the cost of one sheet we need to divide the total cost of sheets by no of sheets. Given a cost of 14 sheets and we need to find the cost of one sheet. We use concepts of fractions and decimals to solve this type of question.

Complete step by step answer:
As per the given question, we need to divide \[\$0.84\] by 14 to get the cost of one sheet.
That is
\[\Rightarrow \]\[\dfrac{\$0.84}{14}\]
Here, we have a decimal number in the numerator. So, in order to get rid of that we multiply both the numerator and denominator by 100. Thus, we can rewrite the expression as
\[\Rightarrow \]\[\dfrac{\$0.84\times100}{14\times100}\]
Here, multiplication of \[0.84\] with 100 is 84 and that of 14 with 100 is 1400. Hence, by substituting these values into the above expression, we get
\[\Rightarrow \dfrac{\$84}{1400}\]
As the numerator is 84, we can write 84 as \[14\times 6\] and the denominator is 1400, we can write 1400 as \[14\times 100\]. Here, we can eliminate 14 from the numerator and denominator. Then, we get
\[\Rightarrow \]\[\dfrac{\$14\times6}{14\times100}\]
\[\Rightarrow \]\[\dfrac{\$6}{100}\]
We can write the above fraction as \[\$0.06\].
Therefore, the cost of one sheet of paper costs \[\$0.06\].

Note: A common mistake made while solving this question is by considering 0.84 as 0 multiplied by 84. This leads to wrong calculations thus; we get the wrong solution. We should avoid calculation mistakes to get the correct answer.