Classifying Sets of Real Numbers

Classify this number:  6.7

• real
• real      rational
• real      rational        integer
• real   rational   integer   whole

Classify this number:  2

• real
• real      rational
• real      rational        integer
• real   rational   integer   whole

Classify this number:  √10

• real
• real      rational
• real       irrational
• real         rational        integer

Classify this number:  ⅚

• real
• real      rational
• real      rational        integer
• real   rational   integer   whole

Classify this number: √25

• real
• real      rational
• real      rational        integer
• real   rational   integer   whole

Is ½ a terminating decimal or a repeating decimal?

• terminating decimal
• repeating decimal

Classify this number:  -12

• real
• real      rational
• real       irrational
• real         rational        integer

• Rational, Integer
• Whole, Integer, Rational 
• Irrational, Integer
• Irrational

-4 is not a whole number because:

• It's negative and whole numbers are positive.
• it's irrational.
• it cannot be turned into a fraction.
• it is even.

An irrational number:

• goes on forever and does not repeat.
• can't be turned into a fraction.
• includes pi and √2
• All of the above.