Question 1

Which of the following is NOT a rational number?

Accepted Answer

2

Question 2

Which set includes all positive integers, zero, and negative integers?

Accepted Answer

Integers

Question 3

If mn is a rational number, which of the following must be true for mn2 to equal 2?

Accepted Answer

m2=2n2

Question 4

Which property is true for all rational numbers except when dividing by zero?

Accepted Answer

The product of two rational numbers is always rational

Question 5

What is the decimal representation of 27925?

Accepted Answer

11.16

Question 6

Which of the following statements is correct regarding the square root of 2?

Accepted Answer

It cannot be written as a fraction of two integers

Question 7

Given the table below, which value of x gives x2 closest to 2?

xx21.41.961.52.25

Accepted Answer

1.4

Question 8

Which of the following is an example of a negative integer?

Accepted Answer

-2

Question 9

Which operation is NOT always closed within the set of rational numbers?

Accepted Answer

Division (by zero)

Question 10

If a number can be written as an infinite decimal expansion, which of the following is true?

Accepted Answer

It could be either rational or irrational

Question 11

Which of the following numbers is both an integer and a rational number?

Accepted Answer

-4

Question 12

Which of the following is the best definition of a rational number?

Accepted Answer

A number that can be written as a fraction of two integers, with a nonzero denominator

Question 13

Which of the following is NOT a property shared by all rational numbers?

Accepted Answer

They can be divided by zero

Question 14

If a and b are rational numbers, which of the following is always true?

Accepted Answer

a+b is rational

Question 15

Which of the following is a correct statement about the number 2?

Accepted Answer

It is an irrational number

Question 16

Which of the following is a property of integers?

Accepted Answer

They include all positive and negative whole numbers and zero

Numbers and Functions: Foundations for Calculus

Study Guide - Practice Questions