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What is 81 divided by 9?
A. 7
B. 8
C. 9
D. 11
Correct Answer Is Option = 9
Notes / Explanation
When the number eighty-one is divided by nine, the result is nine, and this simple calculation provides a good opportunity to understand the operation of division and its relationship with multiplication, which are among the most basic and important skills in mathematics. Division is the process of finding out how many times one number is contained within another, or of sharing a quantity into a number of equal parts. In this case, dividing eighty-one by nine means finding how many groups of nine make up eighty-one, or how much each of nine equal shares of eighty-one would be, and the answer to both of these questions is nine. Division is closely connected with multiplication, and the two operations can be thought of as opposites of one another. Because nine multiplied by nine gives eighty-one, it follows that eighty-one divided by nine gives nine, and this relationship can be used to check the answer, since multiplying the result by the number that was divided by should give back the original number. The number eighty-one is an example of what is called a perfect square, because it is the result of multiplying a whole number, in this case nine, by itself, and the fact that nine multiplied by nine equals eighty-one is one of the facts contained in the multiplication tables that students are encouraged to learn by heart. A good knowledge of the multiplication tables makes calculations of this kind quick and easy, because once a person knows that nine times nine is eighty-one, they immediately know that eighty-one divided by nine is nine without needing to work it out step by step. Skills in multiplication and division are essential not only for solving problems in mathematics but also for dealing with many practical situations in everyday life, such as sharing things equally, calculating quantities and prices, and understanding measurements. For this reason, a firm grasp of basic arithmetic is one of the most valuable foundations of a good education, and questions testing this skill are common in examinations. For PPSC and other competitive examinations, the key points to remember are that eighty-one divided by nine equals nine, that division is the opposite of multiplication, that this calculation is linked to the fact that nine multiplied by nine is eighty-one, and that a good knowledge of the multiplication tables makes such calculations quick and easy.
