fractions-decimals-and-percents-conversions[1]

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Slide 1:

DECIMALS PERCENTS FRACTIONS

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Essential Question How do I express fractions as decimals ? * Numerator goes inside * Denominator goes outside * Use long division

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Example: Express as a decimal. . 0 3 -24 8 3 .00 6 Begin long division Add decimal and zeros as needed Align decimal and divide * Terminate * Repeat OR 0 7 -56 4 0 0 5 -40 0 Answer will:

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Express as a decimal. . 0 7 -28 4 3 .00 2 0 5 -20 0 You try:

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Essential Question How do I express mixed numbers as decimals ? * Set up long division on the fraction part * Place whole number in front of decimal

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Example: Convert to a decimal. . 5 1 - 8 8 1 .00 2 * Set up long division on the fraction part and complete the division. 0 2 -16 4 0 0 5 -40 0 . * Place whole number in front of decimal * This is the final answer

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. Convert to a decimal. You try: . 12 6 -48 8 5 .00 2 0 2 -16 4 0 0 5 -40 0

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Essential Question How do I express decimals as fractions? * Simplify * Convert decimal to base 10 fraction

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Examples: Convert decimal to base 10 fraction; simplify 0.4 10 = 4 5 = 2 0.35 100 = 35 20 = 7 7.28 100 = 28 50 = 14 7 7 = 25 7 7

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You try Convert decimal to base 10 fraction; simplify 0.8 10 = 8 5 = 4 0.04 100 = 4 50 = 2 3.36 100 = 36 50 = 18 3 3 = 25 9 3 25 = 1

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Essential Question How do I express Decimals as Percents? * Add the % sign * Move decimal point 2 places to the right

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Examples: Express 0.375 as a percent Move decimal point 2 places to the right and add the % sign. 0.375 37.5 % = 2.867 286.7 % = Convert 2.867 to a percent

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You Try 0.625 62.5 % = .7 70 % = Convert decimals to percents Make sure there are at least two digits at the decimal points; add zero where needed (this does not change the value of the number). 0

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Essential Question How do I express Percents as decimals? * remove the % sign * Move decimal 2 places to the left

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Example: Express 56.25 % as a decimal Move decimal point 2 places to the LEFT and remove the % sign. 56.25 % .5625 = 125 % 1.25 =

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You try Express the percents as decimals 97 % .97 = 3.5 % = .035 0 42.8 % = .428

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Essential Question * Set up a proportion : "out of 100" How do I express fractions as percents? * Change fraction to decimal, then change the decimal to percent or

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Set up an “ out of 100 ” proportion 4 1 = 100 Example: Express as a percent. Check to see how you would convert the first denominator to 100. x 25 x 25 25 = 25 % Convert numerator

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Express as a percent. You try 5 3 = 100 x 20 x 20 60 = 60 %

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Convert fractions to percents. You try some more x 2 26 % 14 % 24 % x 2 x 4 x 4 14 24 30 % x 10 x 10 30

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Or you can express fractions as percents by long division 4 1 = 0.25 0.25 = 25 % Convert decimal to percent by moving 2 decimal places to the right and adding % sign or 25.0 %

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You try: Express fractions as percents by long division 0.875 87.5 % = 1.25 125 % = = 37.5 % .375

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Essential Question How do I express percents as fractions? * Divide the number by 100 * Remove the percent symbol * Simplify

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Examples: Express percents to fractions by dividing by 100 100 30 = 30 % = 10 3 100 6 = 6 % = 50 3 180 % = 100 180 = 10 18

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You try Express percents to fractions by dividing by 100 100 35 = 35 % = 20 7 100 5 = 5 % = 20 1 130 % = 100 130 = 10 13