1. Which of the following are irrational numbers?

I. -√100 II. √900 III. √45 IV. √10

A. I and II C. III and IV

B. II and III D. II and III

2. Which number below is natural, whole, integer and rational?

A. -3 B. 0.2 C. 4 D. 5.1

3. The counting numbers starting from 1 and going to infinity belong to the set of

__________.

A. integers C. rational numbers

B. natural numbers D. whole numbers

4. Which of the following sets contain non-integers only?

A. {6, 5, 1.25} C. {-8, 4√17, 25}

B. {3√2, 4.3, 0.3̅) D. {9√4, 8, 7, √9}

5. List the following numbers from least to greatest: -64, 3.5, √27, 6.666...

A. -64, 3.5, √27, 6.666...

B. 3.5, -64, √27, 6.666...

C. 3.5, √27, 6.666..., -64

D. 6.666, √27, -64, 3.5

6. Which of the following numbers are irrational?

I. 0.6666 II. √16 III. 2√6 IV.

A. I and II C. III and IV

B. II and III D. I and IV

7. Which combined sets make up all real numbers?

A. Integers and whole numbers

B. Irrational numbers and integers

C. Rational numbers and natural numbers

D. Rational numbers and irrational numbers

8. Which of the following is always true?

A. 6.14 is a natural number.

B. 0.3145347 is an integer.

C. 7.18346... is a real number.

D. 0.131313... is an irrational number.

9. The product of 3 and is __________.

A. rational because one is irrational

B. rational because both are rational

C. irrational because one is irrational

D. irrational because both are irrational10. Which of the following statements is always TRUE?

A. All integers are whole numbers.

B. All whole numbers are integers.

C. All rational numbers are integers.

D. Some whole numbers are not rational.

For numbers 11-12. Insert <, >, or = to make the sentence true.

11.

A. = B. < C. > D. ≠

12.

A. = B. < C. > D. ≠

For numbers 13-14. To which sets of numbers does the number belong?

13.

A. irrational numbers, real numbers

B. integers, rational numbers, real numbers

C. rational numbers, irrational numbers

D. whole numbers, integers, rational numbers, real numbers

14.

A. irrational numbers, real numbers

B. rational numbers, real numbers

C. rational numbers, irrational numbers

D. whole numbers, integers, rational numbers, real numbers

15. Which of the following irrational numbers could represent?

A. √24 B. √35 C. √30 D. √42​