<\/span><\/h3>\n<\/div>\nEuclid\u2019s Division Algorithm (lemma): According to Euclid\u2019s Division Lemma if we have two positive integers a and b, then there exist unique integers q and r such that a = bq + r, where 0 \u2264 r \u2264 b. (Here, a = dividend, b = divisor, q = quotient, and r = remainder.)<\/p>\n
Here you can check the important formulas related to Class 10 Maths Real Numbers.<\/span><\/p>\n\n\n\nS. No<\/strong><\/td>\nType of Numbers<\/strong><\/td>\nDescription<\/strong><\/td>\n<\/tr>\n\n| 1<\/td>\n | Natural Numbers<\/td>\n | N = {1,2,3,4,5\u00a0 >
It is the counting of numbers<\/td>\n<\/tr>\n | \n| 2<\/td>\n | Whole number<\/td>\n | W= {0,1,2,3,4,5>
It is the counting numbers + zero<\/td>\n<\/tr>\n | \n| 3<\/td>\n | Integers<\/td>\n | All whole numbers including\u00a0<\/strong>Negative number\u00a0+ Positive number\u00a0 \u2026\u2026-4,-3,-2,-1,0,1,2,3,4,5\u2026 so on.
Like whole numbers, integers don\u2019t include fractions or decimals.<\/td>\n<\/tr>\n\n| 4<\/td>\n | Positive integers<\/td>\n | Z+<\/sub>\u00a0= 1,2,3,4,5, \u2026\u2026<\/td>\n<\/tr>\n\n| 5<\/td>\n | Negative integers<\/td>\n | Z\u2013<\/sub>\u00a0= -1,-2,-3,-4,-5, \u2026\u2026<\/td>\n<\/tr>\n\n| 6<\/td>\n | Rational Number<\/td>\n | A number is called rational if it can be expressed in the form p\/q where p and q are integers (q> 0).
Ex: P\/q, 4\/5<\/td>\n<\/tr>\n | \n| 7<\/td>\n | Irrational Number<\/td>\n | A number is called rational if it cannot be expressed in the form p\/q where p and q are integers (q> 0).
Ex: \u221a2, Pi, \u2026 etc<\/td>\n<\/tr>\n | \n| 8<\/td>\n | Real Numbers<\/td>\n | A\u00a0real number\u00a0is a number that can be found on the number line. Real Numbers are the numbers that we normally use and apply in real-world applications.
Real Numbers include Natural Numbers, Whole Numbers, Integers, Fractions, Rational Numbers, and Irrational Numbers<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nHCF (Highest common factor)<\/b><\/p>\n HCF of two positive integers can be found using Euclid\u2019s Division Lemma algorithm<\/span><\/p>\nWe know that for any two integers a. b. We can write the following expression<\/p>\n | | | | | | |
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