5-1 (A – B) Fractions & Decimals To change a fraction into a decimal you divide the denominator into the numerator. Ex. ¾ 4) 3.00 - 2 8 20 - 20 Decimals will either be Terminating or Repeating. If a decimal is Repeating use the bar notation to show a repeating pattern. Ex. 0.232323… would be written 0.23 (cont ) .75

….continued To change a decimal to a fraction use place value position to determine the denominator. Then reduce. Ex. .05 = 5 1 100 20 .005 = 5 1 1000 200 = hundredths = thousandths

5-2 (B) Percents as Fractions To change a % to a Fraction: Place the percent over 100 and reduce. Ex: 15 % = 15 3 100 20 = % means per-100

5 – 2 (C) Fractions as Percents If you have a fraction with a denominator of 100, then the numerator is the % 5 100 If not, change a fraction to an equivalent fraction over 100, then the numerator = % Ex. 1 50 2 100 5 % = = = 50 %

5-2 (D) Percents & Decimals To change a decimal into a Percent you move the decimal point 2 spaces RIGHT and add a % sign. Ex. .75 = 75% To change a % into a decimal you move the decimal point 2 spaces LEFT and drop the % sign. Ex. 5% = .05 12% = .12 78.6% = .786

5-3 (B, D) Compare & Order Fractions, Decimals & Percents To compare fractions: find the LCD & rename 4 1 3 5 2 4 16 10 15 1 3 4 20 20 20 2 4 5 ….continued on next slide. Comparing the fractions w/ LCD shows that fractions from least to greatest are:

You can also compare using Cross Products: Using Cross Products can help you determine which is >, < or =. 77 90 since 77 < 90 then 7 9 7 9 10 11 10 11 To order fractions, decimals and percents you need to put all the terms in the same form. Ex. .54 ½ 53% .54 ½ 53% 54% 50% 53% or .54 .50 .53 1 option: change everything to a % or change everything to a decimal <

5-4 (B) Estimate with Percents Estimating with percents will provide a reasonable solution to many real-world problems (p. 293) Ex. #1: 48% of 492 ≈ 50% of 500 ≈ 250 Ex. #2: 18% of 42 ≈ 20% ≈ 20 ≈ 1 of 40 ≈ 8 100 5

5-4 (D) Percent of a Number To find a percent of a number, change the percent to a decimal (lesson 5-2 D) and multiply. Ex.: 45% of 150 150 x .45 750 + 6000 6750 change a % to a decimal by moving the decimal point 2 places to the LEFT .