what is rational number
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A number that can be represent in the form of P/q where Q is not equal to 0
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What is rational number ?
A number which can be expressed in the form , where p and q both are integers and q ≠ 0, is called a rational number.
- Rational numbers are closed under addition, subtraction, multiplication and division (if the divisor is not zero).
- Subtraction of rational number is neither commutative and associative.
- When 0 is subtracted from a rational number, the rational number itself is obtained i.e. .
- Commutativity and associativity of division of rational is not true .
- The additive inverse of the rational number is .
- Reciprocal of 0 is not possible.
- The product of any rational number with 0 is 0.
- All fractions and integers are also rational numbers.
- There are countless rational numbers between any two given rational numbers.
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