# Does the commutative property apply to all real numbers?

Contents

## What does commutative property not apply to?

Commutative property cannot be applied for subtraction and division, because the changes in the order of the numbers while doing subtraction and division do not produce the same result.

## Does commutative property of subtraction apply to all real numbers?

For any real numbers a and b, a + b = b + a. Subtraction is not commutative. For example, 4 − 7 does not have the same difference as 7 − 4. The − sign here means subtraction.

## What does commutative property show about real numbers?

The commutative properties tell you that two numbers can be added or multiplied in any order without affecting the result. Let a and b represent real numbers.

## Are real numbers commutative?

Properties of Real Numbers

The set of real numbers is commutative under addition and multiplication. This means that the order of the terms (addition) or factors (multiplication) is irrelevant to the answer.

## What are 2 examples of commutative property?

Commutative property of addition: Changing the order of addends does not change the sum. For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44, plus, 2, equals, 2, plus, 4. Associative property of addition: Changing the grouping of addends does not change the sum.

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## What is not an example of commutative property?

Wearing shoes, gloves or putting on socks are examples of Commutative Property, as the order in which you wear them is not important! Commutative property only applies to addition and multiplication. However, subtraction and division are not commutative.

## What are the 5 properties of real numbers?

• 1) Closure Property of Addition.
• 2) Commutative Property of Addition.
• 3) Associative Property of Addition.
• 6) Closure Property of Multiplication.
• 7) Commutative Property of Multiplication.

## Why is subtraction not commutative?

Subtraction is not commutative over real numbers since we can’t say that a – b = b – a for all real numbers a and b. Even though a – b = b – a whenever a and b are the same, that still doesn’t make subtraction commutative over the set of all real numbers.

## What operations does the commutative property work?

The commutative property applies to addition and multiplication. The property states that terms can “commute,” or move locations, and the result will not be affected. This is expressed as a+b=b+a for addition, and a×b=b×a for multiplication. The commutative property does not apply to subtraction or division.

## Can commutative property have 3 numbers?

Since changing the order of the division did not give the same result, division is not commutative. Addition and multiplication are commutative. … When adding three numbers, changing the grouping of the numbers does not change the result.