Warm-up A Major League Baseball team is allowed to have 25 players. The ratio of pitchers to position players on one team is 2:3. How many position players.

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Presentation transcript:

Warm-up A Major League Baseball team is allowed to have 25 players. The ratio of pitchers to position players on one team is 2:3. How many position players are on the team? A camera store developed 2100 rolls of film in one month. Customers wanted double prints from 1500 of these rolls. What is the ratio of rolls with double prints to rolls developed?

Fraction To Decimal Decimal To Fraction Fraction To Percent Percent To Fraction Decimal To Percent Percent To Decimal

Shutter Fold Foldable™ Materials Needed 1 sheet 8.5 X 11 paper marker

Shutter Fold Foldable™ Fold one 8.5 X 11 sheet of paper like a ‘hamburger’. Crease, then open. ↑ Crease

Shutter Fold Foldable™ Fold the outer edges of the paper to meet at the center.

Shutter Fold Foldable™ Fold into thirds.

Shutter Fold Foldable™ Label each section as shown. Fraction To Decimal Fraction To Percent Decimal To Percent Decimal To Fraction Percent To Fraction Percent To Decimal

Fraction Fraction Decimal To Fraction Open this side first! Percent To Fraction Percent To Decimal

Fraction To Decimal Top Dog in the house!

Fraction To Percent x 50 Scale per cent x 50 factor

Decimal To Percent Decimal 2 places to the right 50% .50 = 50% Percent

Decimal Percent Percent Fraction To Decimal Open this side next! Fraction To Percent Decimal To Percent

Decimal To Fraction Reduce! Tenths place .5 = place value

Percent To Fraction To convert from a percent to a fraction. Put your percent over 100 simplify: 50% = 50 100 Simplify: 50 100 = 1 2 Scale factor

50% 0.50 Move the decimal 2 places to the left and add a percent sign. Percent to Decimal Move the decimal 2 places to the left and add a percent sign. 50% 0.50 Decimal

FRACTIONS DECIMALS PERCENTS

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

Express as a decimal. Example 1: 3 7 5 Begin long division . 8 3 .00 3 7 5 Begin long division . 8 3 .00 Add decimal and zeros as needed -24 Align decimal and divide 6 -56 Answer will: 4 -40 * Terminate OR * Repeat

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

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

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

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

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

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

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

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

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

Convert decimals to percents You Try Convert decimals to percents 62.5 % 0.625 = 70 % .7 = 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).

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

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

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

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

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

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

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

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

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

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

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

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