CONVERTING REPEATING DECIMALS TO FRACTIONS copyrightamberpasillas 2010 Terminating
CONVERTING REPEATING DECIMALS TO FRACTIONS copyright©amberpasillas 2010
Terminating Repeating copyright©amberpasillas 2010 What do you notice about the repeating decimals compared to the terminating decimals?
Terminating Repeating Writing Repeating Decimals as fractions can be a challenge. But following a pattern really helps! copyright©amberpasillas 2010
Terminating Repeating copyright©amberpasillas 2010 What do you notice about the repeating decimals compared to the terminating decimals?
Terminating Try these challenging ones! Repeating Terminating Repeating When one digit is terminating this can be a challenge! copyright©amberpasillas 2010
Steps • Any number left of the decimal becomes a whole number • Place the repeating part of the decimal as the numerator • The denominator becomes the same number of 9 s as digits that repeat • Reduce copyright©amberpasillas 2010
#5 copyright©amberpasillas 2010
TEACHER NOTE: The following slides on memorize these equivalents were used in Algebra Readiness but saved for later in Pre-Algebra for when you teach Percents. copyright©amberpasillas 2010
#6 1 2 1 4 3 4 1 3 = 50% = 25% = 75% = 33. 3% 2 3 1 5 2 5 3 5 copyright©amberpasillas 2010 = 66. 6% = 20% = 40% = 60%
CONVERTING REPEATING DECIMALS TO FRACTIONS and MEMORIZING DECIMAL EQUIVALENTS Take out a calculator! copyright©amberpasillas 2010
Write each as a decimal. 14285714. 428571 . 1111 =. 1. 2222 =. 2 . 09. 18. 27 . 3333 =. 3. 36 . 571428 . 4444 =. 4 . 714285 . 5555 =. 5 . 857142 . 6666 =. 6 1 Rolling Pattern . 7 11 Pattern copyright©amberpasillas 2010 . 45. 54. 63 9 Pattern . 72
Terminating Repeating copyright©amberpasillas 2010 What do you notice about the repeating decimals compared to the terminating decimals?
Terminating Repeating Writing Repeating Decimals as fractions can be a challenge. But following a pattern really helps! copyright©amberpasillas 2010
Terminating Repeating copyright©amberpasillas 2010 What do you notice about the repeating decimals compared to the terminating decimals?
Terminating Try these challenging ones! Repeating Terminating Repeating When one digit is terminating this can be a challenge! copyright©amberpasillas 2010
1 = 50% 2 copyright©amberpasillas 2010
1 = 25% 4 copyright©amberpasillas 2010
3 = 75% 4 copyright©amberpasillas 2010
1 33. 3% = 3 copyright©amberpasillas 2010
2 66. 6% = 3 copyright©amberpasillas 2010
1 20% = 5 copyright©amberpasillas 2010
2 40% = 5 copyright©amberpasillas 2010
3 60% = 5 copyright©amberpasillas 2010
4 80% = 5 copyright©amberpasillas 2010
THE END! Take out your study guide copyright©amberpasillas 2010
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