develop your own process to respect a rational number on the number line and also how to find some rational between two rational numbers
(but these question answer will written in papaer
Answers
Answer:
Rational numbers are the numbers which are integers and fractions
Irrational numbers are the numbers whose expression as a fraction is not possible.
Meaning :
Rational numbers refers to a number that can be expressed in a ratio of two integers.
An irrational number is one which can't be written as a ratio of two integers.
Fraction :
Rational number can be expressed in fraction, where denominator ≠ 0.
Irrational number cannot be expressed in fraction.
Includes :
Rational number perfect squares.
Irrational number surds.
Decimal expansion :
Rational number finite or recurring decimals
Irrational number non-finite or non-recurring decimals.
Examples of Rational Number
1/9 – Both numerator and denominator are integers.
7 – Can be expressed as 7/1, wherein 7 is the quotient of integers 7 and 1.
√16 – As the square root can be simplified to 4, which is the quotient of fraction 4/1
0.5 – Can be written as 5/10 or 1/2 and all terminating decimals are rational.
0.3333333333 – All recurring decimals are rational.
Examples of Irrational Number
√2 – √2 cannot be simplified and so, it is irrational.
√7/5 – The given number is a fraction, but it is not the only criteria to be called as the rational number. Both numerator and denominator need to integers and √7 is not an integer. Hence, the given number is irrational.
3/0 – Fraction with denominator zero, is irrational.
π – As the decimal value of π is never-ending, never-repeating and never shows any pattern. Therefore, the value of pi is not exactly equal to any fraction. The number 22/7 is just and approximation.
0.3131131113 – The decimals are neither terminating nor recurring. So it cannot be expressed as a quotient of a fraction.
Answer:
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