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.
\(\dfrac{7}{16} \ as \ a \ decimal = 0.4375\)
\(Set \ up \ the \ long \ division.\)
\(Calculate \ 70 \div 16, \ which \ is \ 4 \ with \ a \ remainder \ of \ 6.\)
\(Bring \ down \ 0, so \ that \ 60 \ is \ large \ enough \ to \ be \ divided \ by \ 16.\)
\(Calculate \ 60 \div 16, which \ is \ 3 \ with \ a \ remainder \ of \ 12.\)
\(Bring \ down \ 0, so \ that \ 120 \ is \ large \ enough \ to \ be \ divided \ by \ 16.\)
\(Calculate \ 120 \div 16, which \ is \ 7 \ with \ a \ remainder \ of \ 8.\)
\(Bring \ down \ 0, so \ that \ 80 \ is \ large \ enough \ to \ be \ divided \ by \ 16.\)
\(Calculate \ 80 \div 16, which \ is \ 5.\)
\(Decimal = 0.4375\)
