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To change a fraction to a decimal number, 2 11 (‘top dog’ goes in the house…) divide divide to find the decimal equivalent ) 211 0 0 2 0 0 1 9 0 0 8 88.

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Presentation on theme: "To change a fraction to a decimal number, 2 11 (‘top dog’ goes in the house…) divide divide to find the decimal equivalent ) 211 0 0 2 0 0 1 9 0 0 8 88."— Presentation transcript:

1 To change a fraction to a decimal number, 2 11 (‘top dog’ goes in the house…) divide divide to find the decimal equivalent ) 211 0 0 2 0 0 1 9 0 0 8 88 0 20 1 11 90 8 …noticing a pattern? How can we show repeating decimals?.18 2 11 = Fractions --> Decimals

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3 To change a decimal to a fraction, Read it Write it Reduce it 0.84 “Eighty four hundredths” 84 100 ÷ 4 = 21 25 Read it Write it Reduce it 2.005 “Two ÷ 5 = 5 1000 and five thousandths” 2 1 200 2 Decimals --> Fractions

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5 To change a fraction to a percent, 1. Check the denominator. 7 20 = 5100 5 35 = 35% 216 300 = ÷ 3 100 ÷ 372 = 72% 72% 3 7 * Can it be changed to 100? 2. Rewrite the fraction with a denominator of 100. can’t What if the denominator can’t be changed to 100? a. Divide =3 ÷ 7 0.4285… b.Change to a percent * slide the decimal 2 to the right 42.85 d. Round to the nearest tenth. 42.9% c. Slap a percent sign on it. % yes 3. Write it as a percent.

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7 To change a percent to a fraction, 1.Re-write the percent as a fraction over 100 8 100 = 2. Simplify. 8% 275 100 ÷ 4 2 25 275% ÷ 25 Percents --> Fractions 11 4 = 3.6 1003.6% ÷ 4 9_ 250 = 36_ 1000 = *If there’s a decimal, move it to the end. … but, what you do to the numerator.. … you also do to the denominator 0

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9 DECIMAL …move the decimal 2 spaces to the right. Decimal Percents PERCENT From a to a 0.13=.13 13% = 0.9=.90= 90% 0.0027= 0.27= 0.27% 0013= 1300 1300% = DECIMAL …move the decimal 2 spaces to the left. PERCENT From a to a 0.78 =78 78% = 0.05 = 5 5% = 1.75 = 175175% = 0.0008% = 0 0.000008 0

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11 Modeling Fractions, Decimals & Percents.

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