Can you solve a semi-complex math problem with just pencil and paper?

[leahcim]

@Left_Hand_of_Dorkness

When you multiply fractions like 35/16 * 8/7, you’re really saying 35 * 1/16 * 8 * 1/7. And the associative (?) property of multiplication applies: you can do long strands of multiplication in any order you want. Change the order to 35 * 1/7 * 8 * 1/16, add some parentheses so you have (35 * 1/7) * (8 * 1/16), and it’s easy-peasy.

You mean commutative when you change the order, but associative applies when you add the parentheses.

Commutative means ab = ba, and by extension a * b * c * d = a * d * c * b or any other order in which you might chose to put the factors.

Associative means that (ab)c = a(bc), and by extension ((ab)c)d = (ab)(cd) or any other permutation of the parentheses.

So saying 35 * 1/16 * 8 * 1/7 = 35 * 1/7 * 8 * 1/16 applies the commutative property (with a little bit of associativity), while saying 35 * 1/7 * 8 * 1/16 = (35 * 1/7) * (8 * 1/16) applies the associative property.

Just adding some complexity to your day.

[fifty-six]

I never graduated HS and I do not recall ever passing a HS math class. I do however feel very confidant in my math skills. I can still do all the things the OP mentioned and quite a bit more. And most of what was mentioned in this thread without consulting Google for a refresher. With little to no study, it seems to be. as I get older my understanding of mathematical concepts are improving.

I can help my daughter with ease with her advanced 7th grade math over the phone in my head without paper and pencil. Including difficult to explain over the phone, graphs and and geometry problems. Side note I only do this as I am in a remote work site and only get cell reception outside. But it is a nice exercise and we do great and get 100% on our homework. And I have the capacity to help her understand the concepts and give her a bit of extra work in her trouble areas.

I am 40