Rational, Irrational & Repeating Decimals

What is a rational number ?

• A rational number  is a number that cannot be written as a fraction.
• A rational number is a number that can be written as a fraction.
• A rational number cannot be a repeating  decimal.

What type of number is π ?

• Rational
• Irrational

Which number is rational below?

• √20
• √64
• 6π
• √7

Which of the following is irrational?

• 0.444444444

• -4/5

• π

• 0.2

Irrational numbers...

• reduce to π

• never end and never repeat

• can sometimes be perfect squares

• must be negative

√4

• irrational
• rational

4π

• rational
• irrational

√7

• Rational 
• Irrational
• real
• fake

.141414141414...

• Rational 
• Irrational 
• real
• fake

-17.5

• Rational
• Irrational
• real
• fake