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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Zero Property of Natural Numbers The Zero Property of Natural Numbers, also known as the Additive Identity Property, states that adding zero to any natural number will not change the value of that number. This property is fundamental in arithmetic and is essential for understanding how numbers work. Here is a detailed explanation with examples: […]

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Zero Property of Whole Numbers The Zero Property of Whole Numbers is a fundamental concept in mathematics, particularly in the context of addition and multiplication. Here’s a detailed explanation along with examples: Zero Property of Addition (Additive Identity Property) The Zero Property of Addition states that when you add zero to any whole number, the […]

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Identity Property of Whole Numbers With Examples The Identity Property of Whole Numbers is a fundamental concept in mathematics, particularly in arithmetic. This property comes in two forms: The Identity Property of Addition and the Identity Property of Multiplication. Let’s explore each in detail with examples. 1. Identity Property of Addition Definition: The Identity Property […]

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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 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 […]

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Multiplication Properties of Whole Numbers Understanding the properties of whole numbers in multiplication is fundamental for grasping more complex mathematical concepts later on. What are whole numbers? Whole numbers are a set of numbers, including all natural numbers and zero. Example: Set of Whole numbers W = {0, 1, 2, 3, 4, 5, 6, 7, […]

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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 […]

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Division of Rational Numbers – Conditions To ensure that the division of rational numbers is valid and accurate, the following conditions must be satisfied: (1) Non-zero Divisor Condition: The divisor must not be zero. Reason: Division by zero is undefined in mathematics. For two rational numbers, a/b and c/d c≠0 and d≠0. The divisor c/d […]

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