Distributive: Difference between revisions

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''Maths.''  
''Maths.''  


===Multiplication is distributive over addition===
 
'''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====
 
'''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.




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* [[Denominator]]
* [[Denominator]]
* [[Numerator]]
* [[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.


See also