Commutative - Revision history

imported>Doug Williamson: Classify page.

2022-06-27T19:21:17Z

Classify page.

← Older revision		Revision as of 19:21, 27 June 2022
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	* [[Denominator]]		* [[Denominator]]
	* [[Numerator]]		* [[Numerator]]

			[[Category:The_business_context]]

imported>Doug Williamson: Add link.

2016-06-18T20:55:54Z

Add link.

← Older revision		Revision as of 20:55, 18 June 2016
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	== See also ==		== See also ==
	* [[Associative]]		* [[Associative]]
			* [[Commutation]]
	* [[Distributive]]		* [[Distributive]]
	* [[Denominator]]		* [[Denominator]]
	* [[Numerator]]		* [[Numerator]]

imported>Doug Williamson: Expand.

2016-06-17T13:38:50Z

Expand.

← Older revision		Revision as of 13:38, 17 June 2016
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	''Maths.''		''Maths.''

	===Multiplication and addition are commutative===		The property that exchanging the ordering of maths operations makes no difference to final results.


			====Multiplication and addition are commutative====

	The commutative property of multiplication means that exchanging the ordering of the items multiplied together makes no difference to the final result.		The commutative property of multiplication means that exchanging the ordering of the items multiplied together makes no difference to the final result.

	====Example 1====		=====Example 1=====
	3 x 4 gives the same result as 4 x 3.		3 x 4 gives the same result as 4 x 3.

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	====Example 2====		=====Example 2=====
	The commutative property also applies to addition.		The commutative property also applies to addition.

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	===Division and subtraction are not commutative===		====Division and subtraction are not commutative====

	The commutative property does not apply to division. The order of items being divided does make a difference to the final result.		The commutative property does not apply to division. The order of items being divided does make a difference to the final result.

	====Example 3====		=====Example 3=====
	20 / 4 gives a different result from 4 / 20.		20 / 4 gives a different result from 4 / 20.

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	====Example 4====		=====Example 4=====
	The commutative property does not apply to subtraction.		The commutative property does not apply to subtraction.

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	====Multiplication and addition are also associative====		=====Multiplication and addition are also associative=====
	The [[associative]] and commutative properties apply both to multiplication and addition.		The [[associative]] and commutative properties apply both to multiplication and addition.

imported>Doug Williamson: Punctuation.

2015-10-08T08:40:10Z

Punctuation.

← Older revision		Revision as of 08:40, 8 October 2015
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	The [[associative]] and commutative properties apply both to multiplication and addition.		The [[associative]] and commutative properties apply both to multiplication and addition.

	For this reason, they are sometimes mixed-up but they are different,		For this reason, they are sometimes mixed up, but they are different.

imported>Doug Williamson: Typo removed surplus 's'

2015-10-07T15:09:41Z

Typo removed surplus 's'

← Older revision		Revision as of 15:09, 7 October 2015
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	====Multiplication and ~~additions~~ are also associative====		====Multiplication and addition are also associative====
	The [[associative]] and commutative properties apply both to ~~multiplications~~ and ~~additions~~.		The [[associative]] and commutative properties apply both to multiplication and addition.

	For this reason, they are sometimes mixed-up but they are different,		For this reason, they are sometimes mixed-up but they are different,

imported>Doug Williamson: Distinguish from associative

2015-10-07T15:08:04Z

Distinguish from associative

← Older revision		Revision as of 15:08, 7 October 2015
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	The second expression produces '''-2'''.		The second expression produces '''-2'''.



			====Multiplication and additions are also associative====
			The [[associative]] and commutative properties apply both to multiplications and additions.

			For this reason, they are sometimes mixed-up but they are different,

imported>Doug Williamson: Added "exchanging" explicitly

2015-10-07T14:56:38Z

Added "exchanging" explicitly

← Older revision		Revision as of 14:56, 7 October 2015
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	===Multiplication and addition are commutative===		===Multiplication and addition are commutative===

	The commutative property of multiplication means that the ordering of the items multiplied together makes no difference to the final result.		The commutative property of multiplication means that exchanging the ordering of the items multiplied together makes no difference to the final result.

	====Example 1====		====Example 1====

imported>Doug Williamson: Link with Denominator and Numerator pages.

2015-10-04T21:13:19Z

Link with Denominator and Numerator pages.

← Older revision		Revision as of 21:13, 4 October 2015
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	* [[Associative]]		* [[Associative]]
	* [[Distributive]]		* [[Distributive]]
			* [[Denominator]]
			* [[Numerator]]

imported>Doug Williamson: Created page with "NOTOC ''Maths.'' ===Multiplication and addition are commutative=== The commutative property of multiplication means that the ordering of the items multiplied together m..."

2015-10-04T15:56:45Z

Created page with "__NOTOC__ ''Maths.'' ===Multiplication and addition are commutative=== The commutative property of multiplication means that the ordering of the items multiplied together m..."

New page

__NOTOC__
''Maths.''

===Multiplication and addition are commutative===

The commutative property of multiplication means that the ordering of the items multiplied together makes no difference to the final result.

====Example 1====
3 x 4 gives the same result as 4 x 3.

In the first case:

3 x 4 = '''12'''

In the second case:

4 x 3 = '''12'''

====Example 2====
The commutative property also applies to addition.

4 + 5 gives the same final result as 5 + 4.

Both expressions give the result 9.

===Division and subtraction are not commutative===

The commutative property does not apply to division. The order of items being divided does make a difference to the final result.

====Example 3====
20 / 4 gives a different result from 4 / 20.

In the first case:

20 / 4 = '''5'''

In the second case:

4 / 20 = '''0.2'''

====Example 4====
The commutative property does not apply to subtraction.

5 - 3 gives a different result from 3 - 5.

The result of the first expression is '''+2'''.

The second expression produces '''-2'''.

== See also ==
* [[Associative]]
* [[Distributive]]