Tuesday, September 30, 2014

Sept. 30, 2014 - Convert Fractions to Decimals to Percents

Tuesday, we added one more conversion, convert fractions to decimals and then to percents.  So what is a percent?  Percent is a comparison to 100.  We have already learned to convert a fraction to a decimal, divide the numerator by the denominator (top in bottom out).  To convert a terminating decimal to a fraction you say it correctly using place value and a repeating decimal you do the "9-Thing."

To convert a decimal to a percent you just move the decimal 2 places to the right and add a percent sign.

examples:
0.25 = 25%
1.5 = 150%

To convert a percent to a decimal you move the decimal 2 places to the left and take off the percent sign.

examples:
46% = 0.46
125% = 1.25

The hardest thing to remember is which way you move the decimal.  We think about Dr. Pepper to helps us remember.  Dr. Pepper means to change a decimal to a percent you move the decimal to the right D to P.  To convert a percent to a decimal you move the decimal to the left which is P to D.  You always move the decimal 2 places because there are 2 zeros on 100.

Students will have to give the missing values when given either the fraction, the decimal, or the percent.

    Fraction         Decimal            Percent   
      3/4                  .75                   75%  

     1  65/100        1.65                  165%  
     1  13/20  


        4/5                 0.8                   80%

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