200word real no. full defination
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The combination of rational numbers and irrational numbers is called real number.Real numbers are denoted by 'R'.Rational numbers are either terminating or non-terminating.
For example - -2,4/6 etc.
hope it will help yu-Anand
For example - -2,4/6 etc.
hope it will help yu-Anand
Answered by
1
The collection of rational numbers and irrational numbers are known as real numbers It is denoted by R .
Decimal Expansion of Real Numbers:
(i) The decimal expansion of a rational number is either terminating or non- terminating. More over , a number whose decimal expansion is terminating or non - terminating recurring is rational .
(ii)The decimal expansion of an irrational number is non-terminating, non-recurring. More over , a number whose decimal expansion is non - terminating non-recurring is irrational .
Operations on Real Numbers:
Rational numbers satisfy the commutative , associative and distributive property for addition and multiplication . Also rational number are 'closed' w.r.t. addition , subtraction, multiplication and division. In case of irrational numbers, commutative , associative and distributive property holds good . But the sum, difference, quotient and product of two rational numbers may not be always irrational.
Decimal Expansion of Real Numbers:
(i) The decimal expansion of a rational number is either terminating or non- terminating. More over , a number whose decimal expansion is terminating or non - terminating recurring is rational .
(ii)The decimal expansion of an irrational number is non-terminating, non-recurring. More over , a number whose decimal expansion is non - terminating non-recurring is irrational .
Operations on Real Numbers:
Rational numbers satisfy the commutative , associative and distributive property for addition and multiplication . Also rational number are 'closed' w.r.t. addition , subtraction, multiplication and division. In case of irrational numbers, commutative , associative and distributive property holds good . But the sum, difference, quotient and product of two rational numbers may not be always irrational.
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