![]() |
Square Numbers are the product of a number multiplied by itself. These are fundamental to mathematics. In this article, we will explain Square Numbers, Give Examples, List of Square Numbers from 1 to 100, Why are they called Square Numbers and others in detail. Table of Content What is a Square Number?Square Numbers are numbers that are the square of an integer. It means any number that is square of a number is called a square number. Suppose we take a number 100 that is square of 10 then 100 is a square number. Mathematically, Square Number Definition is,
Square Numbers are always positive numbers. We know that,
For example, (-3)2 = 9. Examples of Square NumbersAs we know, square numbers are those that result from multiplying an integer by itself. Here are some examples:
List of Square NumbersList of all some square numbers are,
Square 1 to 30 ChartSquare 1 to 30 chart is added in form of image below, Square Number in GeometrySquare shape in geometry has all its sides equal. Area of Square is equal to the square of its side. Area of a Square = Side × Side = Side2
Formula of Square NumberSquare of a Number is calculated using the formula,
For example, Square of 3 = (3)2 = 9 Any real number may be squared using this formula, which just requires multiplying the number by itself. Types of Square NumbersVarious square number types are,
Apart, from these we can have Four Digit Square Numbers, Five Digit Square numbers, etc. Perfect Square Numbers from 1 to 100Integers with perfect square values between 1 and 100 can be written as the product of an integer times its own multiplication, yielding a whole number. Said another way, these figures represent the squares of whole numbers. Since each number is expressed as the square of a certain integer, the list consists of
Odd and Even Square Numbers
Odd Square Numbers: 1, 9, 25, 49, 81, … Even Square Numbers: 4, 16, 36, 64, 100, … How to Calculate Squares of a Number?To find calculate square of number multiply a number n by itself (n × n = n2). For example, 32 = 3 × 3 = 9 72 = 7 × 7 = 49 Using this method squares of any number is easily found, List of Square Numbers (1 to 50)Square Numbers of 1 to 50 is added in the table below,
Square Numbers from 51 to 100Square from 51 and 100 are added in the table below,
Properties of Square NumbersVarious properties of square number are listed as follows: Square Numbers Symbol
Odd Square and Even Square
Why are They Called ‘Square’ Numbers?
Square RootsSquare numbers are found when we multiply an integer is multiplied by itself. Square roots is opposite of this operation, squre roots are number which when multiplied by itself gives the original number. For example,
We can say that, square root of any number is a number which when squared gets the original number. Read More, Examples on Square Numbers 1 to 100Example 1: What is square of 8? Solution:
Example 2: Find square of 15. Solution:
Example 3: What is square of 25? Solution:
Example 4: Simplify 132 + 52 – 112 Solution:
Practice Questions on Square NumbersSome problems on square numbers are, Q1: Find the minimum number that must be subtracted from 8000 for the result to be a perfect square? Q2: If two consecutive perfect squares have a product that is a perfect square, find the two squares? Q3: Can a perfect square be created by adding two consecutive perfect cubes? If so, find it; if not, explain yourself? Frequently Asked Questions on Square NumbersWhat is a Square Number?
What is Process for Finding a Square of Number?
What are First Five Integers Square?
What is Square of Zero?
What is 100 Squared?
|
Reffered: https://www.geeksforgeeks.org
Mathematics |
Type: | Geek |
Category: | Coding |
Sub Category: | Tutorial |
Uploaded by: | Admin |
Views: | 20 |