This is an example of the commutative property of multiplication
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You need the associative and commutative properties, but not the distributive property. n*4n*9 =n*(4n*9) (associative) = n*(9*4n) (commutative) = n*(36n) (associative) = 36n*n commutative = 36*n^2
45*60 can be written as (40+5)*60 and the distributive propoerty used to evaluate it. However, the associative property is much better 45*60 = 45*(2*30) = (45*2)*30 = 90*30 = 2700
No, it matters the order of things. 2 divided by 6 is NOT the same as 6 divided by 2 (Unlike Multiplication which is communitive)
An example of the distributive property is 5 x (10 + 2) = (5 x 10) + (5 x 2), or in more general form, A(B+C) = AB+AC
3(7 + 2) = 3x7 + 3x2 is an example of the distributive law.The distributive law connects multiplication and addition.