Suggested Answer
Commutative Property- is only applicable to addition and multiplication.Like- a + b = b + a That means we can swap numbers in addition.(The answer is the same)a x b = b x a That means we can swap numbers in multiplication.(The answer is the same) Commutative is not applicable to subtraction and division asa - b (is not) = b - aAnd a / b (is not) = b / aDistributive Property- Means we can distribute a number in to two parts and still get the same answer, applies to only addition and multiplication and-Here lets take 2 and 4 as examples-For addition-2 + 4 + 3 = 9(2 + 4) + 3 = 9 For multiplication-2 x 4 x 5 = 40(2 x 4) x 5 = 40 Associative Property- Means that you may change the order of the numbers but the answer is the same, much like commutative, its just that it applies to more than 3 numbers- (Addition and Multiplication only)For addition-2 + 3 + 4 = 93 + 2 + 4 = 9 alsoFor multiplication-2 x 3 x 4 = 244 x 2 x 3 = 24 alsoThat's it! Hope I helped!
Suggested Answer
[tex]Communitive:a+b=b=a
\\ a*b=b*a
\\ \\ Distributive:a(b+c) = ab+ac
\\ \\ Associative:(1+2)+3=1+(2+3)[/tex]