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1. Review: What are Factors?. 1. Factors come in pairs and divide a bigger number evenly without a remainder Examples: Factors of 12: 1, 12 2, 6 3, 4 Factors of 30: 1, 30 2, 15 3, 10 5, 6 We can use factor trees, always check 1 through 9 until you get repeats.

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  1. 1. Review: What are Factors? 1. • Factorscome in pairs and divide a bigger number evenly without a remainder • Examples: • Factors of 12: • 1, 12 • 2, 6 • 3, 4 • Factors of 30: • 1, 30 • 2, 15 • 3, 10 • 5, 6 • We can use factor trees, always check 1 through 9 until you get repeats 30 15 2 5 3 6

  2. 2. How do I Reduce Fractions to Lowest Terms? 2. • A fraction is a proportion that expresses a part over a whole • The top number is the numerator • The bottom number is the denominator • To convert fractions to equivalent decimals and percents, we first need to reduce fractions to their lowest terms • To reduce fractions, divide the numerator and denominator by common factors until you cannot divide evenly

  3. 2. How do I Reduce Fractions to Lowest Terms? 2. • I DO ÷ 5 = ÷ 12 = ÷ 5 = ÷ 12 = • WE DO ÷ 7 = ÷ 3 = ÷ 7 = ÷ 3 = • YOU DO ÷ 4 = ÷ 6 = ÷ 4 = ÷ 6 =

  4. 3. How do I Convert Fractions to Decimals 3. • Reduce a fraction to its lowest terms • Check your list of common fractions • Memorize the common fractions and their decimal/percent equivalents • WE DO ÷ 3 = = 2.60 ÷ 3 = • YOU DO ÷ 7 = = 0.875 ÷ 7 =

  5. 4. How do I Convert Decimals to Fractions 4. • YOUR BRAIN IS A FRACTION BUTTON! • Check your list of common fractions • Memorize the common fractions and their decimal/percent equivalents • Or, express as a fraction over a multiple of 10: • 8 tenths = 0.8 = • 65 hundredths = 0.65 = • 143 hundredths = 1.43 = • Then, simplify the fraction to its lowest terms

  6. 4. How do I Convert Decimals to Fractions 4. • I DO 0.4 = • WE DO 0.85 = • YOU DO 0.75 =

  7. 5. How do I Convert Percents to Decimals and Decimals to Percents 5. • Percent means “out of 100” • 50% means 50 hundredths • 50% means 50 out of 100 • To convert decimal to percent • Move the decimal two places to the right • To convert percent to decimal • Move the decimal two places to the left Decimals to Percent WE DOYOU DO 0.40 = 0.35 = 0.875 = 1.42 = 0.005 = 0.625 = Percent to Decimal WE DOYOU DO 55% = 32.5% = 37.5% = 80% = 132% = 250% = 40% 87.5% 0.5% 0.55 0.375 1.32 35% 142% 62.5% 0.325 0.80 2.50

  8. 6. Ordering Numbers on a Number Line 6. • Convert all fractions and percents to decimals • Put in order in decreasing order of place value • Hundreds, then tens, then ones • Tenths, then hundredths, then thousandths • Cross out numbers as you put them in order 0.75 0.375 0.50 0.60 0.625 0.375 0.50 0.60 0.625 0.75

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