When we talk about "12 squared," we are referring to the mathematical operation of squaring the number 12. In simple terms, it means multiplying 12 by itself.
Now, let's explore the method and steps involved in finding the square of a number.
To find the square of a number, we can follow these tips:
Now, let's apply these steps to find the square of 12.
Therefore, the square of 12 is 144.
In mathematics, the term "square" refers to the operation of multiplying a number by itself. It is denoted by a superscript 2 written after the number, such as 12^2.
The symbol for square is a superscript 2 (^2) written after the number. For example, 12^2 represents the square of 12.
Let's solve an example problem to further illustrate the concept of squares:
Problem: Find the square of 8.
Solution:
Therefore, the square of 8 is 64.
What is the difference between squaring and square rooting? Squaring a number means multiplying it by itself, while square rooting is the inverse operation of finding the number that, when multiplied by itself, gives the original number.
Can negative numbers be squared? Yes, negative numbers can be squared. When a negative number is squared, the result is always positive.
What is the square of 0? The square of 0 is 0, as any number multiplied by 0 equals 0.
What is the square of 1? The square of 1 is 1, as any number multiplied by 1 remains unchanged.
Here is a list of square calculations for numbers ranging from 1 to 30:
1^2 = 1 2^2 = 4 3^2 = 9 4^2 = 16 5^2 = 25 6^2 = 36 7^2 = 49 8^2 = 64 9^2 = 81 10^2 = 100 11^2 = 121 12^2 = 144 13^2 = 169 14^2 = 196 15^2 = 225 16^2 = 256 17^2 = 289 18^2 = 324 19^2 = 361 20^2 = 400 21^2 = 441 22^2 = 484 23^2 = 529 24^2 = 576 25^2 = 625 26^2 = 676 27^2 = 729 28^2 = 784 29^2 = 841 30^2 = 900
As mentioned earlier, 12 squared is equal to 144.