Associative - Revision history

imported>Doug Williamson: Classify page.

2022-06-27T09:58:34Z

Classify page.

← Older revision		Revision as of 09:58, 27 June 2022
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	* [[Commutative]]		* [[Commutative]]
	* [[Distributive]]		* [[Distributive]]

			[[Category:The_business_context]]

imported>Doug Williamson: Layout.

2016-08-05T15:50:40Z

Layout.

← Older revision		Revision as of 15:50, 5 August 2016
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	===Division and subtraction are not associative===		===Division and subtraction are not associative===

	The associative property does not apply to division. The order of successive divisions does make a difference to the final result.		The associative property does ''not'' apply to division. The order of successive divisions does make a difference to the final result.

	====Example 3====		====Example 3====
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	====Example 4====		====Example 4====
	The associative property does not apply to subtraction.		The associative property does not apply to subtraction either.

	(5 - 4) - 3 gives a different result from 5 - (4 - 3).		(5 - 4) - 3 gives a different result from 5 - (4 - 3).
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	= 5 - 1 = '''4'''		= 5 - 1 = '''4'''



	== See also ==		== See also ==
	* [[Commutative]]		* [[Commutative]]
	* [[Distributive]]		* [[Distributive]]

imported>Doug Williamson: Correct typo - remove redundant word.

2015-10-04T15:50:16Z

Correct typo - remove redundant word.

← Older revision		Revision as of 15:50, 4 October 2015
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	====Example 3====		====Example 3====
	(60 / 4) / 5 ~~gives~~ produces a different result from 60 / (4 / 5).		(60 / 4) / 5 produces a different result from 60 / (4 / 5).

imported>Doug Williamson at 15:00, 4 October 2015

2015-10-04T15:00:42Z

← Older revision		Revision as of 15:00, 4 October 2015
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	(3 x 4) x 5		(3 x 4) x 5

	= 12 x 5 = 60		= 12 x 5 = '''60'''


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	3 x (4 x 5)		3 x (4 x 5)

	= 3 x 20 = 60		= 3 x 20 = '''60'''


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	(3 + 4) + 5		(3 + 4) + 5

	= 7 + 5 = 12		= 7 + 5 = '''12'''


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	3 + (4 + 5)		3 + (4 + 5)

	= 3 + 9 = 12		= 3 + 9 = '''12'''


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	(60 / 4) / 5		(60 / 4) / 5

	= 15 / 5 = 3		= 15 / 5 = '''3'''


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	60 / (4 / 5)		60 / (4 / 5)

	= 60 / 0.8 = 75		= 60 / 0.8 = '''75'''


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	(5 - 4) - 3		(5 - 4) - 3

	= 1 - 3 = -2		= 1 - 3 = '''-2'''


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	5 - (4 - 3)		5 - (4 - 3)

	= 5 - 1 = 4		= 5 - 1 = '''4'''

imported>Doug Williamson at 14:55, 4 October 2015

2015-10-04T14:55:18Z

← Older revision		Revision as of 14:55, 4 October 2015
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			__NOTOC__
	''Maths.''		''Maths.''

imported>Doug Williamson: Create the page. Source: Oxford English Dictionary, accessed 04 Oct 2015.

2015-10-04T14:45:45Z

Create the page. Source: Oxford English Dictionary, accessed 04 Oct 2015.

New page

''Maths.''

===Multiplication and addition are associative===

The associative property of multiplication means that the order in which successive multiplications are done makes no difference to the final result.

====Example 1====
(3 x 4) x 5 gives the same final result as 3 x (4 x 5).

In the first case:

(3 x 4) x 5

= 12 x 5 = 60

In the second case:

3 x (4 x 5)

= 3 x 20 = 60

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

(3 + 4) + 5 gives the same final result as 3 + (4 + 5).

In the first case:

(3 + 4) + 5

= 7 + 5 = 12

In the second case:

3 + (4 + 5)

= 3 + 9 = 12

===Division and subtraction are not associative===

The associative property does not apply to division. The order of successive divisions does make a difference to the final result.

====Example 3====
(60 / 4) / 5 gives produces a different result from 60 / (4 / 5).

In the first case:

(60 / 4) / 5

= 15 / 5 = 3

In the second case:

60 / (4 / 5)

= 60 / 0.8 = 75

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

(5 - 4) - 3 gives a different result from 5 - (4 - 3).

In the first case:

(5 - 4) - 3

= 1 - 3 = -2

In the second case:

5 - (4 - 3)

= 5 - 1 = 4

== See also ==
* [[Commutative]]
* [[Distributive]]