Fractions and Decimals Page: Name: Class: Date: Warm-­‐up Problem Types of Decimals Terminating Decimal – Decimals with a definite ending digit Ex. 0.625 Repeating Decimals – Decimals that contain one or more digits that continue indefinitely Ex. 0.6666666666… Repeating Decimals are represented with a bar, like this: 0.6 Review: Converting Use LONG DIVISION to convert fractions to decimals. Fractions à !
Decimals Ex. ! = 5 ÷ 8 = 0.625 Review: Converting To convert decimals to fractions: Decimals à -­‐ READ the decimal out loud Fractions -­‐ Write it in SIMPLEST form !"
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Ex. 1.45 = “one and forty-­‐five hundredths” = 1 !"" = 1 !" Ordering and When putting fractions and decimals in order or comparing Comparing them to one another, either write them all as FRACTIONS or Fractions and as DECIMALS. Decimals Ex. Order from least to greatest: !
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! , −0.2, − ! , 1.1 Writing a Repeating More resources can be found on our class website: www.elliottsttims.weebly.com/resources Fractions and Decimals Page: Name: Class: Date: Decimal as a Write 0. 72 as a fraction in simplest form. Fraction Let the variable n equal the 𝑛 = 0. 72 decimal. Multiply each side by 100, since 100𝑛 = 72. 72 the digits in the tenths and hundredths place repeat. Subtract n from both sides. 100𝑛 = 72. 72 −𝑛 = −0. 72 99𝑛 = 72 99𝑛 72
Isolate the variable by dividing = both sides by 99. 99
99
72
𝑛 = 99
72
8
Write in simplest form. = 99 11
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So, 0. 72 = !! Practice Write each repeating decimal as a fraction. 1.) 0.7 ANSWER: 7/9 2.) 0.54 ANSWER: 6/11 3.) 0.213 ANSWER: 71/333 4.) 0.18 ANSWER: 2/11 Warm-­‐up Problem More resources can be found on our class website: www.elliottsttims.weebly.com/resources Fractions and Decimals Page: Name: Class: Date: Types of Decimals Terminating Decimal – Ex. Repeating Decimals – Ex. Repeating Decimals are represented with a bar, like this: ______ Review: Converting Use __________ ________________ to convert fractions to decimals. Fractions à !
Decimals Ex. ! Review: Converting To convert decimals to fractions: Decimals à -­‐ ______________ the decimal out loud Fractions -­‐ Write it in ____________________ form Ex. 1.45 (say, “one and forty-­‐five hundredths” ) Ordering and When putting fractions and decimals in order or comparing Comparing them to one another, either write them all as _________________ Fractions and or as _____________________. Decimals Ex. Order from least to greatest: !
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! , −0.2, − ! , 1.1 Writing a Repeating More resources can be found on our class website: www.elliottsttims.weebly.com/resources Fractions and Decimals Page: Name: Class: Date: Decimal as a Write 0. 72 as a fraction in simplest form. Fraction Let the variable n equal the 𝑛 = 0. 72 decimal. Multiply each side by 100, since 100𝑛 = 72. 72 the digits in the tenths and hundredths place repeat. Subtract n from both sides. 100𝑛 = 72. 72 −𝑛 = −0. 72 99𝑛 = 72 99𝑛 72
Isolate the variable by dividing = both sides by 99. 99
99
72
𝑛 = 99
72
8
Write in simplest form. = 99 11
!
So, 0. 72 = !! Practice Write each repeating decimal as a fraction. 5.) 0.7 6.) 0.54 7.) 0.213 8.) 0.18 More resources can be found on our class website: www.elliottsttims.weebly.com/resources