1 / 14

Rational and Irrational Numbers

Rational and Irrational Numbers. Classifying Numbers. Numbers can be classified For instance, we can pick out all of the numbers that are divisible by 2. They are classified as even numbers. We can also classify numbers in other ways. Rational and Irrational.

kisha
Download Presentation

Rational and Irrational Numbers

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Rational and Irrational Numbers

  2. Classifying Numbers • Numbers can be classified • For instance, we can pick out all of the numbers that are divisible by 2. They are classified as even numbers. • We can also classify numbers in other ways.

  3. Rational and Irrational • Numbers can be classified as rational numbers. • Rational numbers are numbers that in decimal form, are either terminating ORrepeating.

  4. Terminating numbers • A terminating number is a number that terminates, which means ends. • Examples of terminating numbers: 3.14 4.5678932221 0.33339 • Examples of numbers that do NOTterminate (do not end) 3.333333…pi 0.121231234….

  5. Repeating Numbers • A repeating number is a number that does not terminate, but it repeats over and over EXACTLY THE SAME WAY • Examples of repeating numbers: 3.33333…. 4.34343434…… Examples of NON-repeating numbers: 3.343453456….. pi 9.352109….

  6. Rational vs. Irrational • If a number repeats exactly, or terminates, then it is a rational number. • If a real number is NOT rational, then it is irrational.

  7. Rational or irrational?  1 irrational rational 6.2533678 rational irrational

  8. Real Numbers • Another classification of numbers is the set of numbers called Real Numbers. • This one is easy. Real numbers are the rational numbers and the irrational numbers combined. • Real = Rational + Irrational

  9. Place the following numbers in order from least to greatest. -7, 14/3, 280%, 1 3/7 Step 1. Change into decimals. Step 2. Place on a number line.

  10. -7 = -7.0 14/3 = 14 divided by 3  4.7 280% = 280 divided by 100  2.8 1 3/7 = 1 + 3/7  1.43 -7 14/3 1 3/7 280% 0 Order from least to greatest: -7, 1 3/7, 280%, 14/3

  11. Do Example 1 Now Example 1 Order numbers from least to greatest; place on number line: 5/6 4 ¼ 300% 0. 23 3/10 Step 1: Convert to decimals: 5/6 = ______ 4 ¼ = ______ 300% = ______ 0. 23 = ______ 3/10 = ______

  12. Example 1 Step 1: Convert to decimals: 5/6 = 0.833 4 ¼ = 4.25 300% = 3.0 0. 23 = 0.23 3/10 = 0.3 Order from least to greatest: 0.23, 0.3, 0.833, 3.0, 4.25

  13. 0.833 0.23 3.0 4.25 0 0.3 0.23, 0.3, 0.833, 3.0, 4.25

  14. Example 2 • Which is smaller: -2 or -3 • -3 is smaller • Convert -3 ½ to decimal form • -3 + - ½ = -3 + -0.5 = -3.5

More Related