Friday, April 22, 2022

Rational Numbers

Rational numbers: They represents the ratios of two integers. The set of all rational numbers is countable.A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

For example - 3/4 is a rational number.

24/8 is a rational number.

1.1 is a rational number → 11/10

π is irrational, as it cannot be represented as a fraction of two integers. (Read 22/7 is rational but π is not rational, so what is the ratio for π? for clarification

The digits in pi go on for infinity, but they never repeat. A number whose digits go on for infinity without repeating is irrational.


Any decimal number that terminates is rational because it can be written with a power of ten in the denominator

  • 9.2651 = 9265110000

Any decimal number that ends in repeating digits is rational because the value of those repeating digits can be written as a fraction.

  • 6.4212121212121… = 

ational number, in mathematics, a number that can be represented as the quotient p/ q of two integers similar that q ≠ 0. In addition to all the pieces, the set of rational figures includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator. In decimal formrational figures are moreover terminating or repeating numbers. For illustration,1/7 = 0.142857, where the bar over 142857 indicates a pattern that repeats ever

                                          



                                                  


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CLASS 6 MATHS NOTES