Question 1 : Which of the following titles did Integer have?

Question 3 : In contrast, theoretical models of digital computers , such as ________ , typically do not have infinite (but only unbounded finite ) capacity.

Question 4 : To confirm our expectation that 1 − 2 and 4 − 5 denote the same number, we define an ________ ~ on these pairs with the following rule:

Question 5 : In the language of abstract algebra , the first five properties listed above for addition say that Z under addition is an ________ .

Question 6 : This is readily demonstrated by the construction of a bijection , that is, a function that is ________ and surjective from Z to N .

Question 7 : The integers are the only integral domain whose positive elements are well-ordered , and in which order is preserved by ________ .

Question 8 : Adding the last property says that Z is an ________ .

Question 9 : The integers (with addition as operation) form the smallest group containing the additive monoid of the ________ .