repeating decimals ……………………........... terminating decimal: a decimal whose digits...

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Repeating Decimals Repeating Decimals …………………… …………………… .......... ..........

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Page 1: Repeating Decimals ……………………........... terminating decimal: a decimal whose digits END. repeating decimal: includes a pattern of digits that REPEAT FOREVER

Repeating Repeating DecimalsDecimals…………………………………………....................

Page 2: Repeating Decimals ……………………........... terminating decimal: a decimal whose digits END. repeating decimal: includes a pattern of digits that REPEAT FOREVER

terminating decimalterminating decimal: a decimal : a decimal whose digits whose digits ENDEND..

repeating decimalrepeating decimal: includes a : includes a pattern of digits that pattern of digits that REPEAT REPEAT FOREVERFOREVER..

13Example: .0.3

91

0

0

3

91

0

0

3……

Page 3: Repeating Decimals ……………………........... terminating decimal: a decimal whose digits END. repeating decimal: includes a pattern of digits that REPEAT FOREVER

Bar notation:Bar notation: indicates that indicates that a number repeats forever.a number repeats forever.

0.33333…… = 0.33333…… =

0.121212……… = 0.121212……… =

11.3858585…….. = 11.3858585…….. =

0.30.3

0.120.12

11.38511.385

Page 4: Repeating Decimals ……………………........... terminating decimal: a decimal whose digits END. repeating decimal: includes a pattern of digits that REPEAT FOREVER

Write each repeating decimal Write each repeating decimal with bar notation.with bar notation.

A)A) 7.7777…… = 7.7777…… =

B)B) 0.246246….. = 0.246246….. =

C)C) 0.7222…… = 0.7222…… =

D)D) 0.8121212…… = 0.8121212…… =

E)E) 4.12123123…... =4.12123123…... =

F)F) 22.52010101…… = 22.52010101…… =

7.77.7

0.2460.246

0.720.72

0.8120.812

4.121234.12123

22.520122.5201

Page 5: Repeating Decimals ……………………........... terminating decimal: a decimal whose digits END. repeating decimal: includes a pattern of digits that REPEAT FOREVER

Divide the following:Divide the following:

7 ÷ 97 ÷ 9

79 .0.7

637

0

0

7

637

0

0

7

637

= 0.72 ÷ 32 ÷ 3

23 .0.6

182

0

0

6

182

0

0

6

182

= 0.6

Page 6: Repeating Decimals ……………………........... terminating decimal: a decimal whose digits END. repeating decimal: includes a pattern of digits that REPEAT FOREVER

One more!!One more!!

3 ÷ 113 ÷ 11 311 .0.2

228

0

0

7

773

0

0

2

228

= 0.270

0

7

773

Bar notation practice!

Page 7: Repeating Decimals ……………………........... terminating decimal: a decimal whose digits END. repeating decimal: includes a pattern of digits that REPEAT FOREVER

AssignmentAssignment

Repeating Decimals WSRepeating Decimals WS

Math just makes me wanna dance!!!

Page 8: Repeating Decimals ……………………........... terminating decimal: a decimal whose digits END. repeating decimal: includes a pattern of digits that REPEAT FOREVER
Page 9: Repeating Decimals ……………………........... terminating decimal: a decimal whose digits END. repeating decimal: includes a pattern of digits that REPEAT FOREVER
Page 10: Repeating Decimals ……………………........... terminating decimal: a decimal whose digits END. repeating decimal: includes a pattern of digits that REPEAT FOREVER
Page 11: Repeating Decimals ……………………........... terminating decimal: a decimal whose digits END. repeating decimal: includes a pattern of digits that REPEAT FOREVER