Format your paper for Cornell notes Name, Date & Period

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Presentation transcript:

09.19.2017 Format your paper for Cornell notes Name, Date & Period Ticket In the Door Format your paper for Cornell notes Name, Date & Period Topic: Converting Decimals and Fractions. Essential Question: How do you convert fractions as Decimals? How do I express decimals as Fractions? Agenda Ticket in the Door Ticket in the Door Review Current Lesson: Cornell Notes on Converting Fractions to decimals & decimals to fractions Guided Practice: 4 Corners are you ready I love mrs.janice

FRACTIONS & DECIMALS

How do I express fractions as decimals ? Essential Question How do I express fractions as decimals ? * Use long division * Numerator goes inside * Denominator goes outside

Express as a decimal. Example: 3 7 5 Begin long division . 8 3 .00 3 7 5 Begin long division . 8 3 .00 Add decimal and zeros as needed -24 Align decimal and divide 6 -56 Answer will: 4 -40 * Terminate OR * Repeat

Express as a decimal. You try: 7 5 . 4 3 .00 -28 2 -20

How to Convert Fractions to Decimals 2 This is the tenths place so the 2 needs to be in the tenths place. 10 2 .2

How to Convert Fractions to Decimals 23 This is the hundredths place so the 3 needs to be in the hundredths place. 100 2 3 .23

How to Convert Fractions to Decimals 567 This is the thousandths place so the 7 needs to be in the thousandths place. 1000 6 7 5 .567

How to Convert Fractions to Decimals 4 This is the thousandths place so the 4 needs to be in the thousandths place. 1000 4 .004

mixed numbers as decimals ? Essential Question How do I express mixed numbers as decimals ? * Set up long division on the fraction part * Place whole number in front of decimal

Convert to a decimal. Example: 5 1 2 5 * Set up long division on the fraction part and complete the division. . 8 1 .00 - 8 2 * Place whole number in front of decimal -16 4 -40 * This is the final answer .

Convert to a decimal. You try: 12 6 2 5 . 8 5 .00 -48 2 -16 4 -40 .

You can also use place value 567 This is the thousandths place so the 7 needs to be in the thousandths place. 3 1000 6 7 3 5 3.567

How to Convert Fractions to Decimals 34 This is the thousandths place so the 4 needs to be in the thousandths place. 24 1000 24.034

Essential Question How do I express decimals as fractions? * Convert decimal to base 10 fraction * Simplify

Convert decimal to base 10 fraction; simplify Examples: Convert decimal to base 10 fraction; simplify 4 2 0.4 = = 10 5 35 7 0.35 = = 100 20 28 14 7 7.28 7 7 7 = = = 100 50 25

Convert decimal to base 10 fraction; simplify You try Convert decimal to base 10 fraction; simplify 8 4 0.8 = = 10 5 4 2 1 0.04 = = = 100 25 50 36 18 9 3.36 3 3 3 = = = 100 50 25

Guided Practice: 4 Corners Which decimal is terminating? 25.555555.... 0.444444..... 0.567......... 2.5

Guided Practice: 4 Corners Convert 2/9 to a decimal 0.2222....... 0.2 0.232323...... 0.23

Guided Practice: 4 Corners Convert 1/8 to a decimal. 0.1111111...... 0.12 0.245 0.125

Guided Practice: 4 Corners Convert 0.25 to a fraction in simplest form. 1/8 1/5 1/6 1/4

Guided Practice: 4 Corners Convert to 2 5/8 to a decimal 2.75 2.6 2.625 2.6666......

Guided Practice: 4 Corners Convert to 3/4 to a decimal. 0.7 0.6 0.65 0.75

Guided Practice: 4 Corners Convert 12/5 to a decimal 2.6 2.4 2.2 2.1

Guided Practice: 4 Corners If you convert 5/7 to a decimal, what is the number in the hundredths place? 4 7 2 1

Guided Practice: 4 Corners Convert .33333333..... to a fraction 1/5 1/4 1/3 1/6

Skittles Activity Sort your skittles into groups by color. Find the fraction of each color. Convert your fractions into a decimals. Record your data on chart paper. Compare and discuss with the class.