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What is 16 multiplied by 16?
A. 246
B. 256
C. 266
D. 286
Correct Answer Is Option = 256
Notes / Explanation
When the number sixteen is multiplied by sixteen, the result is two hundred and fifty-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 two hundred and fifty-six is the square of sixteen, and multiplying sixteen by sixteen is the same as squaring sixteen. 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 sixteen is equal to ten plus six, multiplying sixteen by sixteen can be carried out by multiplying each part of one sixteen by each part of the other and adding the results together, which involves multiplying ten by ten to give one hundred, multiplying ten by six twice to give a total of one hundred and twenty, and multiplying six by six to give thirty-six, and then adding these together, one hundred plus one hundred and twenty plus thirty-six, which gives two hundred and fifty-six. This method of breaking a multiplication into easier parts is a useful technique that can be applied to many calculations. It is also worth noting that two hundred and fifty-six is a number of special importance in the field of computing, because it is a power of two, that is, the result of multiplying two by itself a number of times, and such numbers appear frequently in connection with computers, which work with a system based on two, so that numbers such as this often appear in relation to computer memory and storage. 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. 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 sixteen multiplied by sixteen equals two hundred and fifty-six, that a number multiplied by itself gives its square, so that two hundred and fifty-six is the square of sixteen, that such a multiplication can be worked out by breaking it into easier parts, and that two hundred and fifty-six is a number of special importance in computing because it is a power of two.
