write five properties of rational number...
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Answer:
There are some properties of rational numbers like closure property, commutative property and associative property. Let us explore these properties on the four binary operations (Addition, subtraction, multiplication and division) in mathematics.
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Answer:
1.) Closure Property :
The sum of any two rational numbers is always a rational number. This is called ‘Closure property of addition’ of rational numbers. Thus, Q is closed under addition
2.) Commutative Property :
Addition of two rational numbers is commutative.
If a/b and c/d are any two rational numbers, then
(a/b) + (c/d) = (c/d) + (a/b)
3.) Associative Property :
Addition of rational numbers is associative.
If a/b, c/d and e/f are any three rational numbers, then
a/b + (c/d + e/f) = (a/b + c/d) + e/f
4.) Additive Identity :
The sum of any rational number and zero is the rational number itself.
5.) Additive Inverse :
(-a/b) is the negative or additive inverse of (a/b).
If a/b is a rational number,then there exists a rational number (-a/b) such that
a/b + (-a/b) = (-a/b) + a/b = 0
Step-by-step explanation:
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