How do you know which variable comes 1st in the answer? Does it matter?
When multiplying a monomial by a polynomial:
I got the answer: 6r^2+14rq
but the worksheet says the answer is 6r^2+14qr
- 4 weeks ago
wish i was focusing in math class lmao
- SumDudeLv 74 weeks ago
the formal approach is to alphabetize within each term. [I prefer your answer. Easier to see how you obtained it.}
- 4 weeks ago
It doesn't matter. Do you not remember the "commutative property of multiplication," which says that q times r equals r times q in all cases?
- lenpol7Lv 74 weeks ago
Your answer id correct.
However, the mathematical convention is to qrite the letter algebraically.
Since 'q' comes before 'r' in the alphabet you would write '14qr'
NB Terms in higher powers come first .
- What do you think of the answers? You can sign in to give your opinion on the answer.
- DavidLv 74 weeks ago
Your answer is correct but the worksheet has only put the variables in alphabetical order.
- MichaelLv 74 weeks ago
alphabetically q is before r
so by convention it is written as 14qr
But note that 14qr = 14rq
- ElaineLv 74 weeks ago
In algebra qr = rq The worksheet has listed the variables (letters) in the same order as they appear in the English alphabet
Think of Arithmetic: 2 X 3 = 3 X 2
- Anonymous4 weeks ago
Order does not matter, operationally speaking. By means of the commutative axiom, order remains same for multiplication in this way:
a * b = b * a = ab = ba, equals same quantity.
However, arrangement is used for clarity. 2r distributed to 7q is better expressed as 14qr since it is (2r * 7q), hence the q was with 7 before the r.