This goes back to geometry:
Suppose you have a number of pebbles. What number of pebbles can you have so that you can arrange them in a square with the same number of pebbles along each side?
You could have:
A square with 1 pebble along each side
**
A square with 2 pebbles along each side
***
***
A square with 3 pebbles along each side
****
****
****
A square with 4 pebbles along each side
*****
*****
*****
*****
A square with 5 pebbles along each side
And so on. These numbers became known as square numbers(since they could be formed into a perfect square with the same number of pebbles along each side).
A question then arises: how many pebbles are needed for a square of a given side, for example 12 pebbles along each side?
With a side of 1, there is 1 row with 1 pebble in it, giving a total of 1 x 1 = 1.
With a side of 2, there are 2 rows with 2 pebbles in each, giving a total of 2 x 2 = 2
With a side of 3, there are 3 rows with 3 pebbles in each, giving a total of 3 x 3 = 9
So for a 12 sided square, 12 x 12 = 144 pebbles are needed. so you have made a square of [side] 12, or "squared 12". But 12 x 12 can also be written more compactly as 122.
So if you require a square with n on each side, there are n rows with n pebbles in each, giving a total of n x n = n2 and you are making a square of [side] n, or have "squared n".
Thus n2 is n squared; it is also n to the power 2. Thus raising a number to the power 2 is also called squaring it.
Geometry is also the reason behind "to the power 3" is also called "cubed", except in this case:
There are n layers with n rows of n pebbles in each layer, giving n x n x n = n3 and the pebbles have made a cube of [side] n or "cubed n"
Taking a number to the second power is known as "squaring" the number.
That is also called "squaring the number", or "raising the number to the second power".
Raising a number to the second power means you are squaring the number, multiplying it by itself. 2 squared= 2*2=4 3 squared=3*3=9
multiply the number by itselfRaising a number to the second power means you are squaring the number, multiplying it by itself. 2 squared= 2*2=43 squared=3*3=9
That's because you are multiplying it by itself. So "two, squared' means the same as 'two times two', and 'three, squared' means the same as 'three times three'. Multiplying a number by itself is exactly the same process of finding the area of a square who's dimensions are the number in question. Therefore multiplying a number by itself is known as squaring. For the same reason of raising a number to the third power is known as cubing. (Because its the same process you would use to find the volume of a cube.)
This is related to the calculation of the area of a square: area = side x side = side2.
squaring a number is taking it to the second power, initialy just multiplying it by its self.
When we raise a number to the second power, we are finding its square. This involves multiplying the number by itself. For example, squaring the number 3 results in (3^2 = 3 \times 3 = 9). Squaring a number is a fundamental operation in mathematics that is used in various applications, including geometry and algebra.
The square root is nearly the inverse operation of squaring or raising to the second power. Nearly but not quite! So sqrt(682) = ±68
Is basically doubling the number. For example 2 to the second power is 4.
It's called The Candlestone!
49."To the second power" means that the number is multiplied by itself once.We also refer to this as "squaring" or that a number has been "squared".7 * 7 = 49.