Distributive: Difference between revisions
imported>Doug Williamson (Created page with "__NOTOC__ ''Maths.'' ===Multiplication is distributive over addition=== The distributive property of multiplication over addition means that brackets within expressions can...") |
imported>Doug Williamson (Expand definition.) |
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''Maths.'' | ''Maths.'' | ||
'''Multiplication is distributive over addition''' | |||
The distributive property of multiplication over addition means that brackets within expressions can be 'multiplied out' when the brackets contain additions. | The distributive property of multiplication over addition means that brackets within expressions can be 'multiplied out' when the brackets contain additions. | ||
'''Example''' | |||
3 x (4 + 5) gives the same result as: | 3 x (4 + 5) gives the same result as: | ||
| Line 27: | Line 30: | ||
= 12 + 15 | = 12 + 15 | ||
= '''27''' | = '''27''' as before. | ||
'''Multiplication is also distributive over subtraction''' | |||
The distributive property of multiplication over subtraction means that brackets within expressions can also be 'multiplied out' when the brackets contain subtractions. | |||
'''Example''' | |||
3 x (6 - 2) gives the same result as: | |||
(3 x 6) - (3 x 2). | |||
In the first case: | |||
3 x (6 - 2) | |||
= 3 x 4 | |||
= '''12''' | |||
In the second case: | |||
(3 x 6) - (3 x 2) | |||
= 18 + 6 | |||
= '''12''' as before. | |||
| Line 33: | Line 66: | ||
* [[Associative]] | * [[Associative]] | ||
* [[Commutative]] | * [[Commutative]] | ||
* [[Denominator]] | |||
* [[Numerator]] | |||
[[Category:The_business_context]] | |||
Latest revision as of 20:33, 22 October 2022
Maths.
Multiplication is distributive over addition
The distributive property of multiplication over addition means that brackets within expressions can be 'multiplied out' when the brackets contain additions.
Example
3 x (4 + 5) gives the same result as:
(3 x 4) + (3 x 5).
In the first case:
3 x (4 + 5)
= 3 x 9
= 27
In the second case:
(3 x 4) + (3 x 5)
= 12 + 15
= 27 as before.
Multiplication is also distributive over subtraction
The distributive property of multiplication over subtraction means that brackets within expressions can also be 'multiplied out' when the brackets contain subtractions.
Example
3 x (6 - 2) gives the same result as:
(3 x 6) - (3 x 2).
In the first case:
3 x (6 - 2)
= 3 x 4
= 12
In the second case:
(3 x 6) - (3 x 2)
= 18 + 6
= 12 as before.
