imported>Doug Williamson |
imported>Doug Williamson |
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| __NOTOC__
| | ''Inflation''. |
| ''Maths.'' | |
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| The property that exchanging the ordering of maths operations makes no difference to final results. | | The former name for the UK inflation index now known as the Services Producer Price Index (SPPI). |
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| ====Multiplication and addition are commutative==== | | == See also == |
| | | * [[Inflation]] |
| The commutative property of multiplication means that exchanging the ordering of the items multiplied together makes no difference to the final result.
| | * [[Services Producer Price Index]] |
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| =====Example 1=====
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| 3 x 4 gives the same result as 4 x 3.
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| In the first case:
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| 3 x 4 = '''12'''
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| In the second case:
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| 4 x 3 = '''12'''
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| =====Example 2=====
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| The commutative property also applies to addition.
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| 4 + 5 gives the same final result as 5 + 4.
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| Both expressions give the result 9.
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| ====Division and subtraction are not commutative====
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| The commutative property does not apply to division. The order of items being divided does make a difference to the final result.
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| =====Example 3=====
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| 20 / 4 gives a different result from 4 / 20.
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| In the first case:
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| 20 / 4 = '''5'''
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| In the second case:
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| 4 / 20 = '''0.2'''
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| | | [[Category:The_business_context]] |
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| =====Example 4=====
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| The commutative property does not apply to subtraction.
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| 5 - 3 gives a different result from 3 - 5.
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| The result of the first expression is '''+2'''.
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| The second expression produces '''-2'''.
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| =====Multiplication and addition are also associative=====
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| The [[associative]] and commutative properties apply both to multiplication and addition.
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| For this reason, they are sometimes mixed up, but they are different.
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| == See also ==
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| * [[Associative]]
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| * [[Commutation]]
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| * [[Distributive]]
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| * [[Denominator]]
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| * [[Numerator]]
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