My professor showed me a rule about the distributive property that I’ve read for years but have always overlooked.
We’ve all seen the classic a(b+c)
Apparently the distributive property only respects addition and subtraction. Which means that a(bc) is not distributive.
So if you have this problem:
0.01+2(0.01+0.03)=0.01
And you suddenly realized that you wanted to completely annihilate the zeroes by distributing 100 to both sides of the equation;
100[0.01+2(0.01+0.03)]=0.01(100)
What the hell would you do?
Keep in mind a(b+c) is the distributive property in a mathematical nutshell, and that this is a grade school question, so let’s look at the left side of the equation I.e the part I fucked up on I’m college algebra thanks to never encountering the scenario prior.
a=100
b=0.01
So what is c?
I wrote the answer in my notes but thanks to overestimating my damn memory I didn’t write the notes concisely enough.
Is “c” the product of 2(0.01+0.03)?
Or is “c” (0.01+0.03)?
Or is “c” a choice between “2” and “(0.01+0.03)”?
In other words, how do you properly distribute the 100?
Please help because this principle is so fucking basic that it could kill me in the future.