Ask a question
0 0

3(4+3r) distributive property

In some answers the correct answer is with number with the variable being first and sometimes the number without the variable being first. why is that


It doesn't really make any difference:
2 + 4 = 4 + 2 = 6
3a + 1 = 1 + 3a
By common consent we generally list the terms
with variables first
Tutors, please sign in to answer this question.

1 Answer

Distributive property takes one term that is outside parenthesis and distributes it to other terms inside parenthesis.  Then adds the products.  When adding, the reverse order in distribution creates a commutative property.  When you add numbers in either order, he results are the same.
For example:
3(4 + 3r) = 3(3r + 4)
12 + 9r = 9r + 12
Also, the order of terms in parenthesis does not change the sum.  And since you are multiplying that unchangeable sum by the same value, the result will be the same.