What are the properties of rational …

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What are the properties of rational numbers with example

Posted by Aman Partap 5 years, 8 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 5 years, 8 months ago

Closure property

For two rational numbers say x and y the results of addition, subtraction and multiplication operations give a rational number. We can say that rational numbers are closed under addition, subtraction and multiplication. For example:

(7/6)+(2/5) = 47/30
(5/6) – (1/3) = 1/2

Commutative law

For rational numbers, addition and multiplication are commutative.

Commutative law of addition: a+b = b+a

Commutative law of multiplication: a×b = b×a

Associative law

Rational numbers follow the associative property for addition and multiplication.

Suppose x, y and z are rational then for addition: x+(y+z)=(x+y)+z

For multiplication: x(yz)=(xy)z.

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