Asked by Angela
What is the difference between associative and commutative property? Also is there a way I can easily tell the difference and remember all 3 properties?
Answers
Answered by
oobleck
a commuter is a person who drives back and forth to work.
Addition and multiplication commute because you can reverse the order and still get the same answer
a+b = b+a
ab = ba
The associative property says that you can associate the operations differently but still get the same answer
(a+b)+c = a+(b+c)
(ab)c = a(bc)
The distributive property says that multiplication distributes over addition. That is, take the multiplier and distribute it across each o f the parts of the sum
a(b+c) = ab + bc
3(2-5+8) = 3*2 - 3*5 + 3*8 = 6-15+24 = 15
this is the same as
3(2-5+8) = 3(5) = 15
As with most things, repetition helps your memory. Do a dozen problems for each property (many available online) and you'll never have to worry about it again.
Addition and multiplication commute because you can reverse the order and still get the same answer
a+b = b+a
ab = ba
The associative property says that you can associate the operations differently but still get the same answer
(a+b)+c = a+(b+c)
(ab)c = a(bc)
The distributive property says that multiplication distributes over addition. That is, take the multiplier and distribute it across each o f the parts of the sum
a(b+c) = ab + bc
3(2-5+8) = 3*2 - 3*5 + 3*8 = 6-15+24 = 15
this is the same as
3(2-5+8) = 3(5) = 15
As with most things, repetition helps your memory. Do a dozen problems for each property (many available online) and you'll never have to worry about it again.
Answered by
Angela
Thank you this helped a lot!
Also if you can can you give me a online site to work out some problems?
Also if you can can you give me a online site to work out some problems?
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