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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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slide1

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

slide2

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
slide3

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 =

slide4

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 =

slide5

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
slide6

4.

How do I Convert Decimals to Fractions

4.

  • I DO

0.4 =

  • WE DO

0.85 =

  • YOU DO

0.75 =

slide7

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

slide8

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