Calculating the square of a number is a fundamental mathematical operation. The word "square" comes from the Latin word "quadratum" which means square. In fact, if you draw a square with sides of length n, then the area of that square is n², or the "square" of n.
So, calculating the square of a number is just multiplying that number by itself. For example, the square of 5 is 25, because 5 times 5 equals 25. We usually write this as 5² = 25.
It's important to remember that the square of a number is always positive. This is because a positive number times a positive number always yields a positive result, and a negative number times a negative number also yields a positive result.
Calculating the square of a number is often used in mathematics and science. For instance, the formula for the area of a circle is πr², where r is the radius of the circle and the square of r is used to calculate the area.
Calculating the square of a number is also useful for comparing numbers. By squaring two numbers, we can easily see which number is greater, without worrying about negative numbers.
Number | Square |
---|---|
1 | 1 |
2 | 4 |
3 | 9 |
4 | 16 |
5 | 25 |
6 | 36 |
7 | 49 |
8 | 64 |
9 | 81 |
10 | 100 |
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