SOLUTION: I need help on few questions. Thanks 1. mn=nm 2. (3r+2)+s=3r+(2+s) 3. If 3x=15 then 15=3x

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Question 409039: I need help on few questions. Thanks
1. mn=nm
2. (3r+2)+s=3r+(2+s)
3. If 3x=15 then 15=3x

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

Basic Number Properties:
Associative,Commutative, and Distributive



The word "associative" comes from "associate" or "group";the Associative Property is the rule that refers to grouping.
For addition, the rule is "a+%2B+%28b+%2B+c%29+=+%28a+%2B+b%29+%2B+c"; in numbers, this means 2+%2B+%283+%2B+4%29+=+%282+%2B+3%29+%2B+4.
For multiplication, the rule is "a%28bc%29+=+%28ab%29c"; in numbers, this means 2%283%2A4%29+=+%282%2A3%294.

The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around.
For addition, the rule is "a+%2B+b+=+b+%2B+a"; in numbers, this means 2+%2B+3+=+3+%2B+2.
For multiplication, the rule is "ab+=+ba"; in numbers, this means 2%2A3+=+3%2A2.


The DistributiveProperty is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as a%28b+%2B+c%29+=+ab+%2B+ac. In numbers, this means, that 2%283+%2B+4%29+=+2%D73+%2B+2%D74.

1.+mn=nm.........here you have the Commutative Property-the rule for multiplication
2. %283r%2B2%29%2Bs=3r%2B%282%2Bs%29.....the Associative Property- the rule for addition
3. If 3x=15 then 15=3x...the Commutative Property-the rule for multiplication