Irrational Numbers Review

An integer can be written as a fraction by doing which of the following?

• By converting it to a decimal.
• By adding 1 to it.
• By placing it over 1.
• By multiplying it by 0.

Why is Pi considered an irrational number?

• Pi is an irrational number because it cannot be expressed as a fraction

• Pi is a rational number because it can be expressed as a simple fraction.
• Pi has a finite decimal representation that repeats.
• Pi is an integer and can be easily calculated.

Describe the major differences between rational and irrational numbers in your own words.

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An irrational number will be a decimal number that:

• is a whole number
• has a non-repeating, non-terminating decimal expansion
• has a repeating decimal expansion
• has a terminating decimal expansion

Which of the following statements are true concerning irrational numbers?

[Select two statements.]

• Irrational numbers are insane.

• Irrational numbers cannot be accurately written as a fraction.

• Irrational numbers are decimals that go on forever.

• Irrational numbers are fractions.