The Cat in Numberland

SUMMARY:

At Mr. and Mrs. Hilbert’s Hotel Infinity, the resident cat is puzzled by how the hotel can be fully booked, yet the rooms are full of Odd and Even Numbers, and guests continue to arrive. The odds and evens live happily together, playing games like addition and subtraction until Zero comes to call. 
When Zero tries to check in, there is a giant room switch so that he can stay, even though Mr. Hilbert insists he’s not really a Number. Mr. H refuses to admit him on the grounds that, "Zero is not a Number-Numbers serve to count things." His wife disagrees, and she offers 10, 100, and 1000 as cases in point. Defeated, her husband agrees to give him a room, moving everyone one room up. 
Zero tells the others about a place called Alphabet where the Letters live. "They cannot play the games we know, but they know others that are very interesting-." When they invite the Letters for a sleepover, Zero proposes that he move to Room 26, and the others follow suit. The Letters begin to arrive and everyone still has a room, even though no Numbers have left. No matter how many guests arrive or depart, the hotel accommodates them all, and is always full. But when the Fractions arrive, demanding rooms, real chaos threatens. But Zero seems to have all the answers. 

CONCEPTS: 

The book explained many mathematical concepts, but one of them that comes to mind is domain and range. When learning about them in class, we learned that some of them could be infinite, real number, integers, etc. This book tackles this subject. When Zero comes up with the idea of moving up all the odd and even numbers one room to make room for himself he found his place on the number line. Finding a room for fractions in between the even numbers and odd numbers as well. It grasped the concept of infinity, when it comes to domain and range. The idea the hotel is full, yet can admit more is similar to the domain and ranges. 

LITERATURE?

I think literature is an effective way to teach mathematics because it approaches and explains math problems in a way that can be applied on simpler terms. Instead of it being explained by rules and steps, we understand the significance of such math concepts, and can now apply it to other situations.