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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. - PowerPoint PPT Presentation
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Fraction/Decimal/Percent EquivalenceName
Sep 20-21, 2011
1. • Factors come in pairs and divide a bigger number evenly without a remainder
• Examples:• Factors of 12:
1, 122, 63, 4
• Factors of 30:1, 302, 153, 105, 6
• We can use factor trees, always check 1 through 9 until you get repeats
1. Review: What are Factors? 30
15 2
5 3 6
Fraction/Decimal/Percent EquivalenceName
Sep 20-21, 2011
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?
Fraction/Decimal/Percent EquivalenceName
Sep 20-21, 2011
2. • I DO2. How do I Reduce Fractions to Lowest Terms?
24
12 ÷ 12 =
÷ 12 = 2
140
15 ÷ 5 =
÷ 5 = 8
3
• WE DO
15
92
÷ 3 =
÷ 3 = 5
32
28
21 ÷ 7 =
÷ 7 = 4
3
• YOU DO
30
18 ÷ 6 =
÷ 6 = 5
332
20 ÷ 4 =
÷ 4 = 8
5
Fraction/Decimal/Percent EquivalenceName
Sep 20-21, 2011
3. • Reduce a fraction to its lowest terms
• Check your list of common fractions• Memorize the common fractions and
their decimal/percent equivalents
3. How do I Convert Fractions to Decimals
• WE DO
15
92
÷ 3 =
÷ 3 = 5
32
• YOU DO
56
49 ÷ 7 =
÷ 7 = 8
7
= 2.60
= 0.875
Fraction/Decimal/Percent EquivalenceName
Sep 20-21, 2011
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
10
8
100
65
100
143
Fraction/Decimal/Percent EquivalenceName
Sep 20-21, 2011
4. 4. How do I Convert Decimals to Fractions
• WE DO
• YOU DO
• I DO
0.4 =5
2
10
4
100
40
0.85 =25
21
100
85
0.75 = 4
3
100
75
Fraction/Decimal/Percent EquivalenceName
Sep 20-21, 2011
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
5. How do I Convert Percents to Decimals and Decimals to Percents
Decimals to Percent
WE DO YOU DO
0.40 = 0.35 =
0.875 = 1.42 =
0.005 = 0.625 =
Percent to Decimal
WE DO YOU DO
55% = 32.5% =
37.5% = 80% =
132% = 250% =
40%
87.5%
0.5%
35%
142%
62.5%
0.55
0.375
1.32
0.325
0.80
2.50
Fraction/Decimal/Percent EquivalenceName
Sep 20-21, 2011
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
6. Ordering Numbers on a Number Line
2
1
8
3
4
3
5
3
8
5
0.75 0.375 0.50 0.60 0.625
0.375 0.50 0.60 0.625 0.75