Explain Distributive law & Associative Law. Give Examples.
Answers
In the Associative Law, the parentheses move but the numbers or letters do not. The Associative Law works when we add or multiply.
It does NOT work when we subtract or divide.
The Distributive Law ("multiply everything inside parentheses by what is outside it").
Answer:
Commutative means that the order of the operation don't matters.
Consider a super layman example. I will actually explain what commutative is with an example that is NOT commutative. Maybe it will make you value better the fact that 3 + 2 = 2 + 3 = 5 (it definitively helped me), i.e. that both orders of operations give the same result.
Say you want scrabbled eggs with ketchup. To make these you could either cook the eggs first and then put the ketchup (the yummy way of doing it) or...put the ketchup to the eggs first and then cook it. Obviously, this is NOT commutative (and a terrible idea), since putting the ketchup first will cook the ketchup as well as the eggs (burning the ketchup and making a horrible meal). So the end result is not the same. So:
Ketchup + (eggs + cook) ≠ (eggs + cook) + Ketchup
I discovered this the hard way once when I was young and innocent.
About associativity and distributive laws, I don't think I have good intuitions for them that come to my mind immediately without thinking a little more about it. Hope this post helps though.
Step-by-step explanation: