Irrational Numbers Understanding

Round to the nearest tenth: √28

• 5.6

• 5.9

• 5.3

• 8

What makes a number irrational?

• It can be expressed as a fraction.

• It has a repeating decimal pattern.

• It cannot be expressed as a fraction of two integers.

• It is a whole number.

Determine which of the following examples is irrational.

• A fraction whose denominator is larger than its numerator

• A decimal that never ends but repeats

• A perfect square root

• A decimal that never ends and never repeats

What is an irrational number?

• All whole numbers and their negative counterparts.

• A number that cannot be expressed as a fraction.

• A number with no fractional or decimal part.

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 non-repeating

• are non-terminating and non-repeating decimals

• can sometimes be perfect squares

• are non-terminating

Irrational numbers are numbers that cannot be written as fractions.

• True

• False

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.

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

• True

• False