Rational and Irrational

A rational number

• is a number that can be written as a fraction.

• is always positive.

• can be a repeating decimal.

• is a fraction but not a decimal.

A terminating decimal is

• rational.

• irrational.

The square root of a perfect square is

• irrational.

• rational.

.33333 is a: ​ (a)  

• rational number

• irrational number

• integer

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• Irrational; The product of a nonzero rational and an irrational is always irrational.

According to the Real Number Chart, CAN "Irrational Numbers be "Rational Numbers"?

• No, because they are completely separate boxes.

• Yes, because they are all Real Numbers.

A rational number can be written as terminating or repeating decimals.

• true

• false

• A

• B

• C

• D

Are pi's digits periodic? In other words, do the digits ever repeat themselves in any pattern?

• No, pi is irrational

• Yes, every 6,000,000 decimal places

• Yes, every infinitely long number repeats

• Maybe, not enough digits of pi are known yet

Is pi irrational, rational, both, or neither?

• Both

• Irrational

• Rational

• Neither