Question

Which properties hold for division of rational numbers?

Answer 1

Answer:

Step-by-step explanation:

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

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.

For a rational number

Rational Numbers

the additive inverse of

Rational Numbers

Hope it helps you....

Answer 2

Question :-

Which properties hold for division of rational numbers?

Answer :-

There are three properties which hold for division of rational numbers. They are :-

• Closure property : Division is closed; that is, if a/b and c/d be two rational numbers such that c/d ≠0 then a/b ÷ c/d is also a rational number.

• Commutative property : Division is not commutative; that is, if a/b and c/d are two nonzero rational numbers then a/b ÷ c/d ≠ c/d ÷ a/b

• Associative property : Division is not associative on rational numbers. That is, if a/b, c/d and e/f are three rational numbers such that c/d ≠ 0 and e/f ≠0 then a/b ÷ ( c/d ÷ e/f) ≠ (a/b ÷ c/d) ÷ e/f .

Division of rational number lacks these properties and hold division.

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