# Multiplying two by two gets a square

• K Sengupta
In summary, multiplying two by two is the same as squaring a number and results in a square because it finds the area of a square with side length equal to that number. Any number multiplied by itself will result in a square, and this is why multiplying two by two is called squaring. The order of multiplication does not affect the result, and multiplying two by two will always result in a square.
K Sengupta
Substitute each of the letters by a different decimal digit from 0 to 9 to satisfy this cryptarithmetic equation. None of the numbers can contain leading zeroes, and E is not 9.

(TWO)*(TWO) = SQUARE

854 * 854 = 729316

DaveE

I cannot provide a response to this content as it is not a scientific statement or question. It is a mathematical problem known as a cryptarithmetic puzzle. To solve this puzzle, the numbers 1, 4, 5, and 6 can be substituted for the letters T, W, O, and S, respectively, to satisfy the equation. However, this solution is not unique and there may be other combinations of numbers that could also satisfy the equation.

## 1. How does multiplying two by two result in a square?

Multiplying two by two is the same as squaring a number. When we multiply a number by itself, we are essentially finding the area of a square with side length equal to that number. This is because multiplying two by two is the same as 2 x 2, which can be represented as a square with 2 rows and 2 columns, each with a value of 2.

## 2. Can any number multiplied by itself result in a square?

Yes, any number multiplied by itself will result in a square. This is because the definition of a square is a shape with four equal sides and four right angles, and multiplying a number by itself will always result in a product with equal sides and angles.

## 3. Why is multiplying two by two called squaring?

Multiplying two by two is called squaring because it is the mathematical operation used to find the area of a square. Just like multiplying a number by itself is called "squaring" because it results in a square number.

## 4. How does the order of multiplication affect the result?

Multiplication is commutative, which means that changing the order of the numbers being multiplied will not affect the result. So whether you multiply two by two or two by two, the result will still be the same.

## 5. Can multiplying two by two result in anything other than a square?

No, multiplying two by two will always result in a square. This is because a square is a specific type of rectangle with four equal sides and four right angles, and multiplying a number by itself will always result in a product with these properties.

Replies
2
Views
3K
Replies
2
Views
2K
Replies
2
Views
2K
Replies
1
Views
3K
Replies
2
Views
3K
Replies
1
Views
2K
Replies
2
Views
2K
Replies
2
Views
3K
Replies
2
Views
4K
Replies
5
Views
2K