Question

I don't understand rational and irrational numbers

Answer 1

A rational number is a number which can be expressed as a fraction whose numerator and denominator are both integers and whose denominator is not equal to zero. Rational numbers include all integers, fractions, mixed numbers, and some decimal numbers.

 

Note : All terminating and repeating decimal numbers are rational numbers because those numbers can be expressed as a fraction. On the other hand, a non repeating number and non terminating decimal, like square root of 2, is an irrational number.  

$\dfrac{7}{16} \ as \ a \ decimal = 0.4375$

$Set \ up \ the \ long \ division.$ 

$Calculate \ 70 \div 16, \ which \ is \ 4 \ with \ a \ remainder \ of \ 6.$

$Bring \ down \ 0, so \ that \ 60 \ is \ large \ enough \ to \ be \ divided \ by \ 16.$

$Calculate \ 60 \div 16, which \ is \ 3 \ with \ a \ remainder \ of \ 12.$

$Bring \ down \ 0, so \ that \ 120 \ is \ large \ enough \ to \ be \ divided \ by \ 16.$

$Calculate \ 120 \div 16, which \ is \ 7 \ with \ a \ remainder \ of \ 8.$

$Bring \ down \ 0, so \ that \ 80 \ is \ large \ enough \ to \ be \ divided \ by \ 16.$

$Calculate \ 80 \div 16, which \ is \ 5.$

$Decimal = 0.4375$