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What is 14 multiplied by 14?
A. 156
B. 176
C. 196
D. 216
Correct Answer Is Option = 196
Notes / Explanation
When the number fourteen is multiplied by fourteen, the result is one hundred and ninety-six, and this calculation, which is an example of a number multiplied by itself, provides a good opportunity to reflect on multiplication and on the idea of a square number. When a number is multiplied by itself, the result is called the square of that number, so that one hundred and ninety-six is the square of fourteen, and multiplying fourteen by fourteen is the same as squaring fourteen. Such calculations appear frequently in mathematics, for example in problems involving areas, since the area of a square shape is found by multiplying the length of its side by itself. There are several ways to work out this particular multiplication. One helpful method is to break the calculation into simpler parts. Since fourteen is equal to ten plus four, multiplying fourteen by fourteen can be carried out by multiplying each part of one fourteen by each part of the other and adding the results together, which involves multiplying ten by ten to give one hundred, multiplying ten by four twice to give a total of eighty, and multiplying four by four to give sixteen, and then adding these together, one hundred plus eighty plus sixteen, which gives one hundred and ninety-six. This method of breaking a multiplication into easier parts is a useful technique that can be applied to many calculations. Another approach is to build up from a known fact, for example by recalling that fourteen multiplied by ten is one hundred and forty, and then adding four more fourteens, which is fifty-six, to give one hundred and ninety-six. A good command of multiplication and of methods for working out such calculations is very useful, both for solving problems in mathematics and for dealing with many practical situations. Knowing the squares of numbers, at least up to a certain point, is also useful, since square numbers appear often in mathematics. Questions testing the ability to carry out such calculations are common in examinations. For PPSC and other competitive examinations, the key points to remember are that fourteen multiplied by fourteen equals one hundred and ninety-six, that a number multiplied by itself gives its square, so that one hundred and ninety-six is the square of fourteen, that such a multiplication can be worked out by breaking it into easier parts, and that square numbers appear often in mathematics, for example in the calculation of areas.
