1 / 17

Rational Numbers

Rational Numbers. Any number that can be expressed as a fraction of two integers. Rational. Irrational. Integers. Whole. Counting numbers. Rational. Fractions. Decimal Repeating & terminating. Irrational. Integers. -1,-2,-3,-4 …. π. 0. Whole. 0. Percents. 1,2,3,4 ….

ismail
Download Presentation

Rational 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 Numbers Any number that can be expressed as a fraction of two integers

  2. Rational Irrational Integers Whole Counting numbers

  3. Rational Fractions Decimal Repeating & terminating Irrational Integers -1,-2,-3,-4 … π 0 Whole 0 Percents 1,2,3,4 …. Counting numbers

  4. Rational numbers can be written in several forms 2 1 +1 2 - 0 2/1 4/2 8/4 2*1 2.0 200% -(-2) Most common Simplified fraction Decimal Percent

  5. Convert between decimal fraction and percent Decimal to Fraction Unit ● tenths hundredths thousandths 1. Place decimal digits over the place value 5 EX 1) .5 = 10 2. simplify ÷ 5 = 1 1 1 5 ÷ 5 10 200 20 2 5 EX 2) 0.05 = = 100 5 EX 3) 0.005 = = 1000

  6. Fraction to Decimal Make denominator a power of 10. X EX 4) 5 = = = 0.5 5 ? 5 10 X • Put numerator behind decimal at appropriate place value 5 1 0 2 ● ● 1 2 EX 5) OR 1 2 5 1 0 0 0 0 0 8 ● ● 2. Divide 8 • top inside • bottom outside 2 16 • put decimal at end 4

  7. Decimal to Percent 1. Move decimal two places right 2. Add zeroes if necessary EX 6) 0 = 50 % 5 ● EX 7) 2 5 = 250 % 0 3. Add percent to answer ● = 300 % 0 EX 8) 3 0 Out of sight to the right ● Percent to Decimal 1. Move decimal two places left 2. Add zeroes if necessary EX 9) = 0.05 0 5 % ● 3. Remove percent sign from answer = 0.025 EX 10) 0 2 5 % ●

  8. Percent to Fraction Put percent over 100 Simplify 50 5 1 EX 10) 50 % = = = 100 10 2 1 450 45 9 4 = EX 11) 450 % = = = 2 100 10 2 Fraction to Percent Make fraction a decimal Turn decimal into a percent 1 EX 12) .2 = 20 % = 5 1 EX 13) 3.2 = 320 % 3 = 5

  9. Conversions you need to memorize Tested at least bi-weekly Any fraction with a denominator of 5,10,100.

  10. Notes

  11. Date _______________ Convert Rational Numbers Any number that can be expressed as a fraction of two integers

  12. Convert between decimal fraction and percent Decimal to Fraction Unit ● tenths hundredths thousandths 1. Place decimal digits over the place value EX 1) .5 = 2. simplify ÷ = ÷ EX 2) .05 = EX 3) .05 =

  13. Fraction to Decimal Make denominator a power of ___. EX 4) • Put ____________ behind decimal at appropriate place value 1 2 ● ● 1 2 EX 5) OR 1 8 ● 2. Divide • top ______ • bottom _______ • put decimal at ___

  14. Decimal to Percent 1. Move decimal ___ places _____ 2. Add ______ if necessary EX 6) 0 5 ● EX 7) 2 5 3. Add _______ to answer ● EX 8) 3 Percent to Decimal 1. Move decimal ___ places ____ 2. Add ______ if necessary EX 9) 5 % 3. ______ percent sign from answer EX 10) 2 5 % ●

  15. Percent to Fraction Put percent over ___ Simplify EX 10) 50 % = EX 11) 450 % = Fraction to Percent Make fraction a _______ Turn _______ into a ______ 1 EX 12) = 5 1 EX 13) 3 = 5

  16. Conversions you need to memorize Tested at least bi-weekly Any fraction with a denominator of 5,10,100.

More Related