Irrational

• rational

• irrational

Which of the following numbers is irrational?

• √8

• ¾

• 2

• -1.325

Which number is an irrational number?

• 2.5

• 5.72314.....

• -17

• 1/2

Mr. Cleaves wrote four irrational numbers on the SMART board and asked Saul to choose the number closest to 4. Which irrational number should Saul choose?

• √8

• √17

• √12

• √10

_____________ number is a number that cannot be written as a ratio of two integers.

• An integer

• A rational

• An irrational

• A repeating

Answer explanation

A rational number cannot be written as a fraction (ratio of two integers). This is because it is non-terminating and non-repeating.

Example:

$\sqrt{2}=1.414213562...$

What is the definition of an irrational number?

• A complex number with a non-zero imaginary part.

• A real number that cannot be expressed as a fraction or a ratio of two integers.

• A number that can be expressed as a fraction or a ratio of two integers.

• A number that is not a whole number or a fraction.

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.

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

Irrational numbers are numbers that cannot be written as fractions.

• True

• False

• A

• B

• C

• D