Even numbers are integers that can be exactly divided by 2 without leaving a remainder. Here are the detailed properties of even numbers along with examples to illustrate them: Properties of Even Numbers: Divisibility by 2: An even number is any integer that can be divided by 2 with no remainder. Example: 4 ÷ 2 […]

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Octagon – Definition, Types, Formula, Properties, Examples What is an Octagon ? An octagon is a geometric shape that has eight sides and eight angles. The word “octagon” comes from the Greek words “okto,” meaning eight, and “gonia,” meaning angle. Here are some key characteristics of an octagon. Definition: An octagon is a polygon with […]

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Trigonometry: A Detailed Explanation Basic Concepts Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, as well as the trigonometric functions that describe those relationships. It has wide-ranging applications in fields such as physics, engineering, architecture, astronomy, and more. Here’s a detailed explanation of trigonometry covering […]

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Rational Numbers – Solved Examples Example 1: Write the numerator of the following rational numbers. (i) (2/7) (ii) (-4/5) (iii) (-11/3) (iv) (-10/-17) (v) (13/-14) (vi) (9/8) (vii) (8/9) (viii) (29/4) (ix) (12/5) (x) (22/7) Solution: (i) Numerator of (2/7) is 2 (ii) Numerator of (-4/5) is -4 (iii) Numerator of (-11/3) is -11 (iv) […]

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Associative Property of Rational Numbers Associative Property Associative property of rational numbers states that when three or more rational numbers are added or multiplied the result remains same irrespective of how they are grouped. However, in the case of subtraction and division if the order of the numbers is changed then result will also change. […]

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Closure Property of Rational Numbers What are Rational Numbers? Rational numbers are numbers which can be represented in the form of p/q, where p and q are any two integers and q is not equal to zero(q ≠ 0). Closure Property of Rational Numbers When we perform any operation on a rational number, such that […]

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Properties of Rational Numbers Rational numbers Rational numbers are numbers which can be represented in the form of p/q, where p and q are any two integers and q is not equal to zero(q ≠ 0). Denominator and Numerator of a Rational Number In a rational number p/q, the integer p is the numerator and […]

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Multiplying Exponents- Same Base In this chapter, we will study about multiplication of exponents with same base. When a number repeatedly multiplied by itself, multiple times is known as Exponent. For example: p raised to q means that p is multiplied by itself q times. = pq = p x p x p x p […]

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Pentagon – Properties In a pentagon the sum of the internal angles is equal to 540°. In a regular pentagon each interior angle measure is 108°, and each exterior angle measure is 72°. A regular pentagon has five axes of symmetry, each one of them passes through a vertex of the pentagon and the middle […]

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