Law of Exponents In this chapter, we will study about law of exponents. What is an Exponent? 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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Fractions on Number Line Representation – Examples What is a Fraction? A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 3/4, 3 is the numerator, and 4 is the denominator. This fraction means 3 parts out of 4 equal […]

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Closure Property of Whole Numbers With Examples The Closure Property is one of the fundamental properties of whole numbers and applies to basic arithmetic operations such as addition and multiplication. The property states that when you perform an operation on any two whole numbers, the result is always a whole number. Closure Property of Whole […]

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Whole Numbers – Properties Whole numbers are the set of numbers that include all the natural numbers and zero (0, 1, 2, 3, …). They do not include any fractions, decimals, or negative numbers. Understanding the properties of whole numbers is fundamental in arithmetic and number theory. Here are the key properties of whole numbers: […]

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Properties of Natural Numbers Natural numbers are the set of positive integers used for counting and ordering. Here are the key properties of natural numbers with detailed explanations and examples: The four operations, addition, subtraction, multiplication and division on natural numbers. 1. Closure Property The set of natural numbers is closed under addition and multiplication. […]

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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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Division of Two Rational Numbers In this tutorial, we will learn, division of rational numbers. Rational numbers are written as fractions, therefore to divide a given rational number by another rational number, we have to multiply the given rational number by the reciprocal of the second rational number. Let a/b is a rational number then […]

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Rational Numbers on Number Line 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). Rational Numbers on Number Line Rational numbers can easily represented on number line by following some simple steps. […]

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Complex Numbers – Definition and Examples Complex Numbers The concept Complex numbers was first used in 1st century by a Greek mathematician Alexandria, when he tried to find the square root of a negative number. After that in 16th century complex number was define by Italian mathematician Gerolamo Cardano, in the process of finding the […]

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Real Numbers – Definition and Examples In this tutorial, we will learn all about real numbers. What are Real Numbers? Real numbers are the set of rational and irrational numbers in number system. Real Number Definition Real numbers are union of rational and irrational numbers. Real numbers can be represented on number line and all […]

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