What is the correct reason for statement 2?
Prove: 4 + 3x + (x ∙ 2) = 5x + 4
1. 4 + 3x + (x ∙ 2) 1. Given
2. 4 + 3x + 2x 2.
3. 4 + 5x 3. Addition
4. 5x + 4 4. Commutative Property
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which property says the order of multiplication doesnt matter
x * y = y * x
@noahbred, can you tell me what each of the answers A-D mean?
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going from step 1 to 2, they just changed x*2 to 2*x
multiplication because he multiplied whats in the brackets to simplify the equation. So the answer is C.
This is true ^ however they did not switch them. He just multiplied whats in the brackets.
they are always multiplied, x times 2, and then 2 times x
2x is 2 times x
change in the order of multiplication... like 5*3 = 3*5 for instance
@DanJS, I think you made a mistake in what you said before (or I just misunderstood!). Both addition and multiplication have associative and commutative properties:
Associative Multiplication: a*(b*c)=(a*b)*c
Commutative Multiplication: a*b=b*a
Associative Addition: a+(b+c)=(a+b)+c
Commutative Addition: a+b=b+a
commuinative , sorry just fixed it
communative -- -order of it
associative -- which pairs first
the other one shown had a
4*(2x) ---> (4*2)*x
both distributive and associative are choices, would distributive just remove the parenthesis, and that is really associative