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 →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 →Properties of Fractional Division Let’s dive into the properties of fractional division. Understanding how to divide fractions involves grasping a few fundamental concepts and properties. Here are the key properties and steps: 1. Reciprocal Property Definition: The reciprocal (or multiplicative inverse) of a fraction is obtained by flipping the numerator and the denominator. Example: The […]
Read More →Dividing Decimal as Fractions Dividing decimals can be made easier by understanding how to convert them into fractions. Here’s a step-by-step explanation on how to divide decimals by converting them into fractions: Step-by-Step Explanation: Step 1: Convert the Decimals to Fractions Identify the place value of the decimal: For instance, the decimal 0.75 can be […]
Read More →Equality of rational numbers with a common denominator means that two fractions are equal if their numerators are equal when the denominators are the same. let’s delve into the details of understanding the equality of rational numbers with a common denominator. Here’s a step-by-step explanation: Rational Numbers A rational number is any number that can […]
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 →Multiplying Exponents with Fractions – Rules – Examples Rules for Multiplying Exponents with Fractions If the exponent is in the fractional form, the fractional exponent rule is used. If the base of an expression is a fraction that is raised to an exponents, we use the same exponent rules that are used for bases that […]
Read More →Subtraction of Rational Numbers Subtraction of rational numbers involves finding the difference between two rational numbers. A rational number is a number that can be expressed as a fraction a/b, where a and b are integers, and b≠0. Steps to Subtract Rational Numbers: 1. Find a Common Denominator: If the denominators of the rational numbers […]
Read More →Equivalent Rational Numbers – Definition – Examples Rational Numbers A rational number can be represented in the form of p/q, where q is not equal to zero. Equivalent Rational Numbers Two rational numbers are said to be equivalent, if they have same value but can be represented in different forms. We know that if we […]
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