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 →Arithmetic is one of the oldest and elementary branch of mathematics that deals with study of numbers and basic operation on numbers. History of Arithmetic The term arithmetic comes from the ancient Greek word ‘Airthmos’ which means numbers, but people began doing arithmetic long before the Greek. What is Arithmetic? Arithmetic is branch of mathematics […]
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 →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 […]
Read More →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? […]
Read More →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. […]
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 →Rational Numbers – Subtraction In this tutorial, we will learn the operation of subtraction of rational numbers. If we add the additive inverse of a rational number and other rational number then this is called subtraction of two rational numbers. Subtraction is inverse process of addition. If a/b and c/d are two rational numbers, then […]
Read More →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 […]
Read More →Distributive Property of Rational Numbers Distributive Property of Multiplication over Addition Distributive property for multiplication over addition of rational numbers states that any expression of three rational numbers a, b, c in form of a (b + c), then it can be solved as, a x (b + c) = a x b + a […]
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