Converting Decimals and Fractions: Essential Techniques and Examples
The process of converting fractions to decimals and vice versa through detailed explanations, step-by-step guides, and practical examples. Learn how to use long division, place decimals correctly, and express mixed numbers as decimals. Enhance your math skills with this comprehensive resource.
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Ticket In the Door o Format your paper for Cornell notes o Name, Date & Period o Topic: Converting Decimals and Fractions. o Essential Question: How do you convert fractions as Decimals? How do I express decimals as Fractions? 09.19.2017 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
FRACTIONS & DECIMALS
Essential Question How do I express fractions as decimals ? * Use long division * Numerator goes inside * Denominator goes outside
3 8 Express as a decimal. Example: 0 3 3 .00 7 5 Begin long division Add decimal and zeros as needed Align decimal and divide 8 0 24 6 56 0 4 40 0 Answer will: * Terminate OR 0 * Repeat
3 4 Express as a decimal. You try: 0 7 3 .00 5 4 28 2 0 20 0
How to Convert Fractions to Decimals 2 so the 2 needs to be in the tenths place. This is 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 3 2 .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 0 4 0 .004
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
1 Convert to a decimal. 58 Example: 5 1 1 .00 2 5 * Set up long division on the fraction part 8 0 8 2 16 0 * Place whole number in front of decimal 4 40 0 * This is the final answer 0 .
125 Convert to a decimal. You try: 8 12 6 2 5 8 5 .00 0 48 2 0 16 4 40 0 0 .
You can also use place value 567 3 This is the thousandths place so the 7 needs to be in the thousandths place. 1000 6 7 5 3 3 3.567
How to Convert Fractions to Decimals 34 24 This is the thousandths place so the 4 needs to be in the thousandths place. 1000 24.034
Essential Question How do I express decimals as fractions? * 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
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? a) 25.555555.... b) 0.444444..... c) 0.567......... d) 2.5
Guided Practice: 4 Corners Convert 2/9 to a decimal a)0.2222....... b)0.2 c)0.232323...... d)0.23
Guided Practice: 4 Corners Convert 1/8 to a decimal. a)0.1111111...... b)0.12 c)0.245 d)0.125
Guided Practice: 4 Corners Convert 0.25 to a fraction in simplest form. a) 1/8 b) 1/5 c) 1/6 d) 1/4
Guided Practice: 4 Corners Convert to 2 5/8 to a decimal a)2.75 b)2.6 c)2.625 d)2.6666......
Guided Practice: 4 Corners Convert to 3/4 to a decimal. a)0.7 b)0.6 c)0.65 d)0.75
Guided Practice: 4 Corners Convert 12/5 to a decimal a) 2.6 b) 2.4 c) 2.2 d) 2.1
Guided Practice: 4 Corners If you convert 5/7 to a decimal, what is the number in the hundredths place? a) 4 b) 7 c) 2 d) 1
Guided Practice: 4 Corners Convert .33333333..... to a fraction a) 1/5 b) 1/4 c) 1/3 d) 1/6
Skittles Bulk Skittles Bulk Skittles Activity Skittles Bulk Skittles Bulk Skittles Bulk Skittles Bulk Skittles Bulk Skittles Original Skittles Bulk Skittles Bulk Skittles Bulk Skittles Bulk Skittles Bulk Skittles Bulk 1.Sort your skittles into groups by color. Skittles Bulk Skittles Bulk 2.Find the fraction of each color. 3.Convert your fractions into a decimals. Skittles Bulk 4.Record your data on chart paper. Skittles Bulk 5.Compare and discuss with the class. Skittles Bulk Skittles Bulk
