Download presentation

Presentation is loading. Please wait.

Published byTracy Harrington Modified over 4 years ago

1
**We are learning to identify irrational numbers. Friday, April 21, 2017**

2
**What about ? Is there a whole number solution? Why not?**

Try the square root of 2 on a calculator…write you solution. This is known as an irrational number.

3
**Rational vs. Irrational Numbers**

4
**Rational vs. Irrational Numbers**

Irrational Numbers – A number that when written as a decimal does not end and never repeats. An irrational number can never be written as a fraction. Rational Number – A number that when written as a decimal either stops or repeats in a pattern. All rational numbers can be written as fractions.

5
**Rational vs. Irrational Numbers**

When a decimal repeats in a pattern you can draw a bar above the repeating part to demonstrate the pattern. = 1 ÷ 3 = …which can be written as: = 2 ÷ 7 = …which can be written as: = 5 ÷ 6 = …which can be written as: = 3 ÷ 11 = …which can be written as: . All of these are examples of RATIONAL NUMBERS because… They are written as fractions and decimals that repeat in a pattern.

6
**Rational vs. Irrational Numbers**

These are both examples of IRRATIONAL NUMBERS because… When written as a decimal they will never end, and never repeat in a pattern. Also, these numbers cannot be written as a fraction. Every square root of a non-perfect square is an irrational number.

7
**Fix the common mistake:**

Jim believes that is an irrational number because it can be written as the non-terminating decimal Why is his thinking incorrect? Write 3 complete sentences that would help Jim fix his mistake.

Similar presentations

© 2020 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google