Intro to Irrational Numbers

Which of the following is irrational?

• -3.5

• 5/7

• π

• 2

Square root of 5 is...

• rational

• irrational

• integer

• whole number

Which of the following decimals would be considered irrational?

• Non-terminating

• Terminating

• Repeating

• None of the above

The square root of 57 is ...

• rational 

• irrational 

An Irrational number is ...

• Any positive number that is NOT a fraction, decimal, or zero

• Any positive number, including zero, that is NOT a fraction or a decimal

• Any number (positive, negative, or zero) that is NOT a fraction or a decimal

• Any number that can be written as a fraction; it can be made by dividing two integers

• A real number that goes on FOREVER and DOES NOT REPEAT; because they go on forever and do not repeat, they cannot be written as fractions

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.

True or False: The set of irrational numbers is a subset of rational numbers.

• True

• False

Irrational numbers are numbers that cannot be written as fractions.

• True

• False

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.

• rational

• irrational