Question

properties of rational number with example (or) properties of integers

Answer 1

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Here is your answer,

Properties of rational numbers:

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

✔7/6 + 2/5 = 47/30
✔2/5 x 3/7 = 6/35
✔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.

Some important properties that should be remembered are:

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

Properties of integers:

➡Commutative Property of Addition

Adding integers will have the same result regardless of the arrangement of the integers.
3+1 = 1+3x4

➡Commutative Property of Multiplication

Multiplying integers will have the same result regardless of the arrangement of the integers
4x3 = 3x4

➡Associative Property of Addition

Adding integers will have the same result regardless of the grouping.
(2+3)+5 = 2+(3+5)

Hope it helps you!