apolo399
Sure, let’s do it in base 3. 3 in base 3 is 10, and 3^(-1) is 10^(-1), so:
1/3 in base 10 = 1/10 in base 3
0.3… in base 10 = 0.1 in base 3
Multiply by 3 on both sides:
3 × 0.3… in base 10 = 10 × 0.1 in base 3
0.9… in base 10 = 1 in base 3.
But 1 in base 3 is also 1 in base 10, so:
0.9… in base 10 = 1 in base 10
I hate having to cater to the lowest common denominator, I had to struggle with un-engaging classes all throughout elementary and middle school. I’ve seriously thought about becoming a teacher so I’d like to ask, in your experience, what happens to the children that are able to process more advanced information? Can something be done to keep them engaged and nurture their development too?
Edited an unfortunate typo
No, it’s correct. You define the operation by it’s properties. It’s not saying that “a plus 0 = a” but “the result of applying the binary operation ‘+’ to any number with 0 should give the original number.”
- is just a symbol. You could instead write it as +(a,0)=a and +(a,S(b))=S(+(a,b)).
You have to have previously defined 1=S(0), 2=S(1), 3=S(2), and so on.
States are defined by sovereignty over territory and a group of people. They are what we commonly call countries. [1] The United States, Great Britain, and Nigeria are all examples of states
https://chass.usu.edu/international-studies/aggies-go/nation-states