Identifying Subsets of Numbers

Use the Venn Diagram to name ALL of the subsets to which the following number belongs.

The positive square root of 25

• Irrational Numbers

• Rational Numbers

• Integers

• Whole Numbers

• Natural Numbers

Use the Venn Diagram to name ALL of the subsets to which the following number belongs.

0

• Irrational Numbers

• Rational Numbers

• Integers

• Whole Numbers

• Natural Numbers

Use the Venn Diagram to name ALL of the subsets to which the following number belongs.

-3.2

• Irrational Numbers

• Rational Numbers

• Integers

• Whole Numbers

• Natural Numbers

Use the Venn Diagram to name ALL of the subsets to which the following number belongs.

-2

• Irrational Numbers

• Rational Numbers

• Integers

• Whole Numbers

• Natural Numbers

Place each subset in the appropriate box on the diagram.

a

b

c

d

e

rational

whole

natural

integer

irrational

The diagram above shows how some of the subsets of the set of real numbers are related. The letters represent members of the sets. Judy wants to replace the letters with actual numbers. Which letter could be replaced with the number 2/3?

• N

• W

• R

• X

• F

• G

• H

• J

the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

• rational numbers

• integers

• whole numbers

• irrational numbers

Check all of the sets of numbers that are contained in the set of Rational Numbers.

• Integers

• Irrational Numbers

• Whole Numbers

• Natural Numbers

• Real Numbers

Look for Practice 7.2 and select your answers

• A-F

• B-G

• C-H

• D-J