Its a formula that helps identify the slope intercept form
Expanded form pretty much means that you break down every digit into an addition phrase. So, for 418,832, that would mean:
4 1 8 8 3 2
400000 10000 8000 800 30 2
400000+10000+8000+800+30+2
114.93 because when you add them you get that answer
Given that Nicholas has a 115 fantasy and science fiction books which is 46% of his collection.
Now we have to find what is total number of books in his collection.
Let number of books in Nicholas collection = x
then number of fantasy and science fiction books = 46% of x = 0.46x
We already know that he has 115 fantasy and science fiction books, so both values will be equal and give equation:
0.46x=115
now we can solve this equation to find the answer.

x= 250
Hence final answer is:
Nicholas has 250 books in his collection.