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 […]
Read More →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 […]
Read More →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 […]
Read More →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: […]
Read More →Closure Property of Natural Numbers The closure property is a fundamental concept in mathematics that applies to various operations within a set. When we say that a set is closed under an operation, we mean that performing that operation on elements within the set always results in an element that is also within the set. […]
Read More →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. […]
Read More →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) […]
Read More →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 […]
Read More →Rational Numbers – Addition In this tutorial, we will learn the operation of addition of rational numbers. In the process of addition of rational numbers there are two types of categories. (1) Addition of Rational Numbers with Same Denominator (2) Addition of Rational Numbers with Different Denominator (1) Addition of Rational Numbers with Same Denominator […]
Read More →Multiplying Exponents with Square Roots In this tutorial, we will learn the multiplication of exponents, where bases have a square root. When multiplying square roots that contain exponents, we can rewrite the term with a rational exponent. The square root of a positive number (√a) can be expressed as a rational exponent and (√a) = […]
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