Square of 900

The product that results from multiplying a number by itself is called a square. The Pythagorean theorem in geometry, data structures, computer graphics, and other fields all make use of the idea of square numbers. In this topic, we will learn about the square of 900.
 

The square of 900 is the product of the number when multiplied by itself. The square of a number means multiplying the given number ‘x’ with itself. For example, x² = x × x. On the other hand, the square root of a number is the value that, when multiplied by itself, gives the original number. That can be x = y, where y is the square root of x.

While working on square numbers, kids might get confused between the square root of a number and squaring a number. Always keep in mind that square root and square number give opposite operations and the results will not be the same.

 If x is a positive integer, the square of x always ends with 0, 1, 4, 5, 6, or 9.  When it comes to the square of 900, the number 900 is multiplied by itself to give the result of 810000. And the square root of 810000 is ±900. The square of 900 can be written in two different forms:

• Exponential form: 900².
• Arithmetic form: 900 × 900.
   

For calculating the square of a number, we need to multiply the number by itself. To find the square of 900, we have some methods given below:

• By Multiplication Method
• Using a formula (a²)
• Using a calculator 
   

By using the multiplication method, we multiply the number by itself and break it into smaller parts, and it's easy to find the result of the square step by step.

Step 1: Write down the given number first.
900

Step 2: Multiply the given number by itself.
900 × 900.

Step 3: And the result of the square of 900 is,
900 × 900 = 810000

Therefore, the square of 900 is 810000.

By using a² + 2ab + b² formula, the calculation to find the square can be simplified and easier to understand. 

Step 1: Split 900 as a= 900 and b= 0. 
Expand it into the formula: (a+b)² = a² + 2ab + b²

Step 2: Here,
 900² = (900 + 0)² = 900² + 2(900) (0) + 0²

Step 3: Since b = 0, the result is straight:
900²= 900×900 = 810000.

Thus, the square of 900 remains, 810000.
 

By using this method, the square of 900 is more simplified, and it is very simple to get the answers quickly.

Step 1: Enter 900 on the calculator first.
Step 2: Just click the square sign(√) if available, or press the button with the multiplication symbol.
Step 3: Press the enter button. And the calculator will show the answer as 810000. 

Therefore, the square of 900 is 810000.
 

• The square of an even number will always be even, for example: since 900 is even, its square will also be even 900² = 810000.

• If a number ends with zero, its square will also end with 00. For example: In 900 the last digit of 900 is 0, so the square of 900 ends with 00 too.

• The square of a number divisible by 10 always ends with twice as many zeros as the original number. For example: 9002 will have two zeros which is 810000.

• The square of an integer will be a perfect square: 9002 = 810000 is an exact number, and it is a perfect square.

• The square of a positive number will always be positive. For example: 900 resulted in 810000.
   

• Exponential: It is a way of expressing a number as a power of another number. For example: 900². Here, 2 is the exponent and 900 is the base.

• Even number: A number that can be exactly divided by 2 is called an even number. Numbers like 0,2,4,6,8 are the last digit of the even number.

• Factors: It is a number that divides another number exactly, leaving no remainder. For example: 3 is a factor of 900. 

• Square root: The square root of a number is a value that is multiplied by itself, and gives the original number. For example: 900 = 30 = 30 × 30 = 900.

• Composite numbers: Composite numbers are positive integers that have more than two factors, and also it can only be divided by numbers other than 1 and itself. For example: even (8,12) or odd (9,15).

• Divisible: A number that is said to be divisible by another number that can be divided evenly without leaving any remainder. For example: 12 ÷ 3 = 4.