Classify Number

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

Identify ALL the subsets to which the number belongs:

 -12

• real
• rational,

  real

• natural,

  rational,

  real

• integer,

  rational,

  real

Which of the following is NOT a rational number?

• -5.43816

• ⅘

• 2.11121314...

• 17

• A

• B

• C

• D

You are looking for a NOT TRUE answer...

• F

• G

• H

• J

pi - 3.141592....

• Rational

• Irrational 

Which number is an irrational number?

• 2.5

• 5.72314.....

• -17

• 1/2

-14 could NOT be which type of number?

• Integer

• Real

• Rational

• Natural

Which set of numbers contains only integers?

• {-14, -0.3, 0, 2}

• {-10, 3, 5, 2.75}

• {0, 1, 2,  21/4}

• {√1, √4, √25, √81}

Explain the error

• -1.2 isn't an integer.

• -2 isn't a whole number and 3.4 isn't a rational number.

• -2 isn't a whole number and -1.2 isn't an integer.

• The numbers are graphed correctly.