Rational and Irrational Numbers Both rational and irrational numbers are real numbers.This Venn Diagram shows the relationships between sets of numbers. Notice that rational and irrational numbers are contained in the large blue rectangle representing the set of Real Numbers. Rational Numbers A rational number is a number that can be expressed as a fraction or … [Read more...] about Rational and Irrational Numbers

# Real Numbers

## Table of Properties of Real Numbers

Table of Properties of Real Numbers Let a, b, and c be real numbers, variables, or algebraic expressions. (These are properties you need to know.) … [Read more...] about Table of Properties of Real Numbers

## How to Find The Prime Factors Using Factor Tree

PRIME FACTORISATION Prime factorisation is the process by which a composite number is rewritten as the product of prime factors.Example 1: Find out the prime factorisation of 30. First we will see whether the given number is divisible by a least prime number. Yes, it is, because the digit at its ones place is 0. 30 = 2 × 15 We have, 15 = 3 × 5So, the factors of 30 … [Read more...] about How to Find The Prime Factors Using Factor Tree

## What Is Fundamental Theorem of Arithmetic

Fundamental Theorem of Arithmetic We have discussed about Euclid Division Algorithm in the previous post.Fundamental Theorem of Arithmetic: Statement: Every composite number can be decomposed as a product prime numbers in a unique way, except for the order in which the prime numbers occur. For example: (i) 30 = 2 × 3 × 5, 30 = 3 × 2 × 5, 30 = 2 × 5 × 3 and so on. (ii) … [Read more...] about What Is Fundamental Theorem of Arithmetic

## How To Find The HCF And LCM Using Prime Factorisation Method

Find The HCF And LCM using Prime Factorisation Method Relation between two numbers and their HCF and LCM Consider two numbers 18 and 24. Prime factorisation of 18 = 2 × 3 × 3 Prime factorisation of 24 = 2 × 2 × 2 × 3 So, HCF = 2 × 3 = 6 LCM = 2 × 2 × 2 × 3 × 3 = 72 Product of HCF and LCM = 6 × 72 = 432 Product of given numbers = 18 × 24 = 432 The product of LCM and … [Read more...] about How To Find The HCF And LCM Using Prime Factorisation Method