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# 1. - PowerPoint PPT Presentation

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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Presentation Transcript

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.

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

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 =

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 =

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

4.

How do I Convert Decimals to Fractions

4.

• I DO

0.4 =

• WE DO

0.85 =

• YOU DO

0.75 =

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

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