Complex Numbers-Definition, Formula, Properties Complex numbers are an extension of the real numbers, allowing for the inclusion of solutions to equations that do not have real solutions. Here’s a detailed explanation: Definition A complex number is of the form: z=a+bi Where: a and b are real numbers. i is the imaginary unit, defined by the […]

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Basic Word Problems With Solution Here are a few basic word problems along with detailed solutions: These problems cover basic arithmetic operations such as addition, subtraction, multiplication, and division, providing practical examples for better understanding. Problem 1: Simple AdditionProblem: Sarah has 5 apples. She buys 3 more apples. How many apples does she have now? […]

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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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Division Of Rational Numbers – Rules Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the numerator is the integer and the denominator is a non-zero integer. The steps for dividing rational numbers are as follows: Dividing rational numbers involves a few straightforward steps. 1.Understanding Rational Numbers […]

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Complete the following Worksheet Even Numbers Worksheet. Here’s a sample worksheet based on these ideas: Identification: Circle the even numbers. Counting: Fill in the missing even numbers. Matching: Match the number to its even/odd category. Addition: Find the sum of two even numbers. Subtraction: Find the difference between two even numbers. Multiplication: Multiply even numbers. […]

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Arithmetical Operations – 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). A rational number p/q is said to be in its standard form if p and q do not have any […]

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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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Commutative Property of Rational Numbers Commutative Property The commutative property of rational numbers states that when any two rational numbers are added or multiplied in any order the result we get same result. In case of subtraction and division, if order of numbers is change the result will also change. We will understand these properties […]

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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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