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Repeating Decimal Patterns

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Presentation on theme: "Repeating Decimal Patterns"— Presentation transcript:

1 Repeating Decimal Patterns
CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator! Pay Attention!

2 Decimal Patterns Write each as a decimal .09 .1111 = .1 .142857 .18
= .1 .18 .2222 = .2 .27 .3333 = .3 .36 .4444 = .4 .45 .5555 = .5 .54 .6666 = .6 .63 9 Pattern Rolling Pattern 11 Pattern .7 .72 1

3 ___ , ___ ___ ___ ___ ___ ___ ___
Decimal Place Value Decimals are read as “and” ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 843 and 18 hundredths

4 ___ , ___ ___ ___ ___ ___ ___ ___
Decimal Place Value ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 4 and 238 thousandths

5 ___ , ___ ___ ___ ___ ___ ___ ___
Decimal Place Value ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 29 and 13 thousandths

6 ___ , ___ ___ ___ ___ ___ ___ ___
Decimal Place Value ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 1 ten thousandths

7 Repeating Decimals as Fractions
Terminating Repeating What do you notice about the repeating decimals compared to the terminating decimals? Terminating Repeating Repeating Terminating

8 Repeating Decimals as Fractions
Terminating Repeating Terminating Repeating Repeating Terminating Writing Repeating Decimals as fractions can be a challenge. But following a pattern really helps!

9 Repeating Decimals as Fractions
Terminating Repeating What do you notice about the repeating decimals compared to the terminating decimals? Terminating Repeating Terminating Repeating

10 Repeating Decimals as Fractions
Terminating Repeating Try these challenging ones! Terminating Repeating

11 Repeating Decimals as Fractions
THE END! NOW IT’S YOUR TURN

12 Repeating Decimals as Fractions
#5 Repeating Decimals as Fractions

13 Memorize These Equivalents
1 2 50% 66.6% = = 2 3 1 1 25% 20% = = 4 5 3 2 75% 40% = = 4 5 1 33.3% 3 60% = = 3 5

14 Quick Check…Work with a partner

15 Go to your next station…

16 Decimal Patterns Write each as a decimal

17 Repeating Decimals as Fractions
Terminating Repeating What is the repeating decimal? Terminating Repeating Terminating Repeating

18 Repeating Decimals as Fractions
Terminating Repeating Try these challenging ones! Terminating Repeating

19 Memorize These Equivalents
What is the equivalent decimal? 1 = 2

20 Memorize These Equivalents
What is the equivalent decimal? 1 = 4

21 Memorize These Equivalents
What is the equivalent decimal? 3 = 4

22 Memorize These Equivalents
What is the equivalent decimal? 1 = 3

23 Memorize These Equivalents
What is the equivalent decimal? 2 = 3

24 Memorize These Equivalents
What is the equivalent decimal? 1 = 5

25 Memorize These Equivalents
What is the equivalent decimal? 2 = 5

26 Memorize These Equivalents
What is the equivalent decimal? 3 .60 = 5

27 Memorize These Equivalents
What is the equivalent decimal? 4 80% = 5

28 Memorize These Equivalents
THE END! YOU ARE A SUPERSTAR!


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