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Q: Is division of rational numbers commutative?
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Related questions

Is the set of rational numbers a commutative group under the operation of division?

No, it is not.

Are rational number commutative under subtraction and division?


Is there commutative property of subtraction for rational numbers?

No, there is not.

Is division of whole numbers is commutative?


List the commutative rings of rational numbers?


Are rational numbers are commutative with respect to multiplication?

Yes, they are.

Are rational numbers commutative for multiplication?

Yes, they are.

Does commutative property work for fractions?

Yes. Both the commutative property of addition, and the commutative property of multiplication, works:* For integers * For rational numbers (i.e., fractions) * For any real numbers * For complex numbers

Why are the rules for multiplying and dividing rational numbers the same?

The question has no sensible answer because its proposition is not true. Multiplication is commutative, division is not, so the rules are NOT the same.

How are rational numbers not commutative?

Numbers, by themselves are neither commutative nor are they non-commutative. Commutativity is a property that belongs to a mathematical operation on a set of numbers. However, since the question does not specify what operation you have in mind, it is not possible to give a more helpful answer. The basic operations of arithmetic are addition, subtraction, multiplication and division, but there are many more mathematical operations.

How is subtraction rational numbers different from adding?

Subtraction is not commutative nor associative.

Are the set of rational numbers closed under division?

No, it is not. Division by zero (a rational) is not defined.