Real Numbers/Properties/Expressions/Matrices

What is true about irrational numbers?

• They are terminating decimals.
• They are non-repeating decimals.
• They are fractions.
• They are natural numbers.

Classify the following number:
1.01011011101111....

• Rational
• Irrational

Classify the following:
0.478123123123123123....

• Rational
• Irrational

Which statement is NOT true?

• 0.121212… is a rational number.
• 0.34353637 is an irrational number.
• 8.14 is a rational number.
• 5.12345… is an irrational number.

Rachel states that -5.5 is an integer because it is negative.

Is she correct?

Why or why not?

• Yes, because all negatives are integers.

• Yes, because all integers have decimals.

• No, because integers do not have decimals.

• No, because integers cannot be negative.

Classify this number:  6.7

• 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

-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.

A rational number:

• can be turned into a fraction.
• is only positive.
• can't have a decimal.
• is not a real number.