Question

write the properties of rational number​

Answer 1

HOLA,

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.

Answer 2

Answer:

Step-by-step explanation:The major properties of rational numbers are: Closure Property. Commutativity Property. Associative Property.

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

(2/5). (3/7) = 6/35

For rational numbers, addition and multiplication are commutative.

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

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

For example

2/3×3/7=3/7×2/5=6/35

Associative

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.

Some important properties that should be remembered are:

0 is an additive identity and 1 is a multiplicative identity for rational numbers.

For a rational number x/y, the additive inverse is -x/y and y/x is the multiplicative inverse.

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