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

Decimal Patterns Write each as a decimal .09 .1111 = .1 .142857 .18 .1111 = .1 .142857 .18 .2222 = .2 .285714 .27 .428571 .3333 = .3 .36 .571428 .4444 = .4 .45 .5555 = .5 .714285 .54 .857142 .6666 = .6 .63 9 Pattern Rolling Pattern 11 Pattern .7 .72 1

___ , ___ ___ ___ ___ ___ ___ ___ Decimal Place Value Decimals are read as “and” 8 4 3 1 8 ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 843 and 18 hundredths

___ , ___ ___ ___ ___ ___ ___ ___ Decimal Place Value 4 2 3 8 ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 4 and 238 thousandths

___ , ___ ___ ___ ___ ___ ___ ___ Decimal Place Value 2 9 0 1 3 ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 29 and 13 thousandths

___ , ___ ___ ___ ___ ___ ___ ___ Decimal Place Value 0 0 0 0 1 ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 1 ten thousandths

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

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!

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

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

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

Repeating Decimals as Fractions #5 Repeating Decimals as Fractions

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

Quick Check…Work with a partner

Go to your next station…

Decimal Patterns Write each as a decimal

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

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

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

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

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

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

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

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

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

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

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

Memorize These Equivalents THE END! YOU ARE A SUPERSTAR!