The Number Devil Chapters 1-3

Why does reverse multiplication not work for 0?

19/0 = 0, but 19 * 0 does not = 19

What are the prime numbers 1-50?

2, 3, 5, 7, 11, 13, 17, 19, 23, 27, 19, 31, 41, 43, and 47. (15 total)

If the prime number is odd how many numbers will equal that number?

3

Show the first four hops of the number 3

3 to the 1st - 3 to the 3rd

What were Robert's old dreams?

A fish eating him, endless slide, a new bike, and a video game.

Explain how infinitely small numbers would be described.

Breaking/Sharing a piece of gum.

The number devil talks about getting any number from the number 1. What is that pattern?

Count up to the number of 1's in a factor and then count down. (you need to carry if the number is larger than 10.)

The number devil refers to "hopping numbers". What is he talking about?

Exponents

How does Robert describe Mr. Bockel?

Fat, big, a new teacher, and loves pretzels

What were the tiny gnat-like objects that were bothering Robert at the beginning of his dream?

Tiny numbers 2-9 (1's were trees)

How does the teacher treat the students and what does he do when they are not looking?

He gives them hard problems so he can eat his pretzels.

1,111,111 times 1,111,111 = ______________

1,234,567,654,321

How does the number devil use the example with the chewing gum to convince Robert of Infinity?

He has to think of a big number and then if he adds 1 the number will become even bigger.

Why was Robert so happy to see the number devil in his dreams?

He wanted to get away from all of his other recurring dreams.

What was the main idea of the first night?

Infinity

Why does Robert like adding, subtracting, and multiplying, but not division?

It can have remainders

By now, Robert began to get used to dreaming about the number devil. Why does he look foward ts seeing him?

It is better than his other dreams.

What is Robert's math teacher?

Mr. Bockel

What was the main idea of night 3?

Prime numbers and can't divide by 0

Using a subtraction problem, show why the number 0 is such an important number.

Without 0 (1 - 2 = -2) with 0 (1 - 2 = -1)

What was the last number to be discovered?

Zero

What is the main idea in night 2?

Zero and place holders