Number Systems Quiz

Place each value in its location in the Real Number System below.

Groups:

(a) Irrational

,

(b) Rational

,

(c) Integers

,

(d) Whole and/or Natural

• -1

• 0

• 10

• 17

• -3.75

Which does not represent an integer?

• A. 0

• B. 18/2

• C. √9

• D. 4/5

Which is an irrational number?

• A. √21

• B. 5/8

• C. 2.41

• D. -13

Which statement is true?

• A. √81 is an irrational number

• B. 0 is a natural number

• C. 4.6 is a rational number

• D. -9 is a whole number

Which statement is false?

• A. All whole numbers are integers.

• B. All real numbers are irrational numbers.

• C. All natural numbers are whole numbers.

• D. All whole numbers are real numbers.

Identify the property that justifies the statement.

• reflexive

• 12(x + 4) = 12x + 48

• distributive

• If y = -5, then -5 = y

• symmetric

• 8 + (2 + 6) = (8+2) + 6

• commutative

• 8a + 4 = 4 + 8a

• associative

• -7 = -7

Identify the property that justifies the statement.

• inverse

• zero

• transitive

Which set of numbers is closed under subtraction?

• A. Whole Numbers

• B. Natural Numbers

• C. Integers

• D. Irrational Numbers

Which of the following sets is NOT closed under addition?

• A. Natural Numbers

• B. Whole Numbers

• C. Integers

• D. Odd Numbers