Today our topic of discussion is Multiplication and division of repeating decimal fractions.
Multiplication and division of repeating decimal fractions
If repeating decimal fractions are first converted into common fractions and then multiplication or division operations are performed, we can convert the result into repeating decimal fractions. If finite decimal fractions and repeating decimal fractions are multiplied or divided .
Then this rule should be followed. However, in case of division if both divisor and dividend are repeating decimal fractions, then converting them into similar repeating decimal fractions will ease the operations.
Rational and irrational numbers when expressed using decimal sign are called decimal fractional number For example, 3 = 3.0, 5/2 = 2.5 10 3 = 3.3333…, √3 = 1.732…, etc are decimal fractional numbers.
If there are finite number of digits after decimal sign, then this is called finite decimal fraction and if there are infinitely many digits, then it is called infinite decimal fractions. For example, 0.52, 3.4152 etc are finite decimal fractions, whereas 4/2 =1.333…, √5 =2.123512367…,etc are infinite decimal fractions.
History of numbers is as old as that of human civilization. Mathematics was originated from the process of expressing quantity by symbols as numbers. According to Greek Philosopher Aristotle, formal beginning of mathematics started with its practice among ancient Egyptian priests.
So it can be said that number based Mathematics was created about two thousand years before the birth of Jesus Christ. After that numbers and operations on them have reached today’s universal form through the hands of different nations and civilizations.
Read more: