Property of Integers – Commutative Addition The commutative property of addition states that, two integers can be added in any order, the result will be the same. Order of terms doesn’t matter, swapping of terms will not change the sum. Example: 9 + (-5) = 4 and (-5) + 9 = 4 So, 9 + […]
Read More →Closure Property of Integers Addition Closure property of integers under addition states that the sum of any two integers will always be an integer. Let us say for any two integers a and b, either positive or negative. When we add the two integers, their sum would be an integer i.e. sum of ‘a and […]
Read More →What is an Equation Definition: An equation is a mathematical statement with an ‘equality’ sign between two algebraic expression. The equality sign shows that the value of the expression to the left of the side (LHS or left hand side) is equal to the value of the expression to the right hand side (RHS or […]
Read More →Sets – Cartesian Product of Sets If A and B are two non empty sets, then their Cartesian Product A x B is set of all possible ordered pairs. A x B = {(x, y) : x ∈A, y ∈ B} where the elements of A are comes first and the elements of B are […]
Read More →Division – Properties 1. When zero is divided by a number the quotient is zero. Example: 1. 0 ÷ 5 = 0 2. 0 ÷ 7 = 0 3. 0 ÷ 11 = 0 4. 0 ÷ 25 = 0 5. 0 ÷ 224 = 0 6. 0 ÷ 635 = 0 7. 0 ÷ 4653 […]
Read More →Algebra Algebra is a branch of mathematics that help us in the representation of problems or situations in the form of mathematical expressions. All the branches of mathematics such as trigonometry, calculus, and coordinate geometry, involve the use of algebra. Algebra encompasses a wide range of topics, including solving equations, understanding functions, and working with […]
Read More →Odd numbers Definition: If any integer that can not divide exactly by 2, is an odd number. Simply, If we divide any integer by 2, and remainder is one, we get an odd number. The last digit of odd numbers is 1, 3, 5, 7, 9, 11… Example: 11, 23, 35, 47, 69, all are odd numbers. […]
Read More →Triangle – Definition and Properties The origin of term “Triangle” from latin word tri (“Three”) and angulus means (“angles”). A “Triangle” is a simple closed curve or a three sided polygon. A triangle has three angles and three sides and three vertices. It is one of the basic shape in geometry. In Euclidean geometry any non-collinear, three points, determine a unique triangle. The triangle […]
Read More →Cardinal and Ordinal Numbers Cardinal numbers are counting numbers as, 1, 2, 3, 4, 5,…..etc are called Cardinal Numbers. The cardinal numbers express the quantitative property of the numbers, ordinal numbers express their order. Cardinal numbers do not have a suffix tacked onto the end. Ordinal numbers are used to show the position. 1st, 2nd, 3rd, 4th, 5th……are called ordinal numbers. Ordinal number indicated […]
Read More →Properties of a Rectangle A rectangle is a two dimensional four sided polygon(quadrilateral), in which the opposite sides are equal and parallel to each other and all four angles are right angles. In figure ABCD is a rectangle. Properties of a Rectangle A rectangle is a quadrilateral. 1. Each interior angle is a right angle. 2. […]
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