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P. O. D. 11/29/06. List all of the factors of 16. What numbers are factors of 150? 2 3 4 5 6 9 10 Use factor and product in a sentence to describe 7 x 5 = 35. Write this number in word form: 2.09. P. O. D. 11/16/07. List all of the factors of 20. What numbers are factors of 435?
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P. O. D. 11/29/06 • List all of the factors of 16. • What numbers are factors of 150? • 2 3 4 5 6 9 10 • Use factor and product in a sentence to describe 7 x 5 = 35. • Write this number in word form: 2.09
P. O. D. 11/16/07 • List all of the factors of 20. • What numbers are factors of 435? • 2 3 4 5 6 9 10 • Use factor and product in a sentence to describe 8 x 2 = 16. • Write 35.241 in • expanded form: • word form:
P. O. D. 11/19/07 • List all of the factor pairs for 18. • Put these numbers in order from least to greatest: 23.451, 24.41, 24.541, 23.154 • Write 23.16 in • expanded form: • word form:
P. O. D. 11/26/07 • Put these numbers in order from least to greatest: 7.22, 70.2, 70.22, 7.02 • Round these numbers to the nearest hundred: • 551 • 6,423 • 11,292.14 • Write 416.203 in • expanded form: • word form:
Rounding Decimals Notes (pg. 11 in binder) • Round 76.285 to the nearest hundredth. • Underline the place value that you are rounding. • Box in that underlined number and one number to the right of it. • Round up or down, writing above original number. • All of the numbers to the left stay the same, and all of the numbers to the right turn into 0.
Round each number to the nearest hundredth. • 4.981 • 2.008 • Round each number to the nearest tenth. • 0.159 • 12.602
Rounding Decimals for Estimation (back of pg. 11) • Estimate $3.79 + $2.12. • In your head, round to the easiest place. • Once numbers are rounded in your head, follow directions. • You should be able to estimate all in your head! If you can’t you’ve made it too hard! Round to the easiest place for you!
Estimate each answer. • $5.33 + 2.91 = • 71 9 = • 29 x 3.1 = • 31 – 6 =
Warm Up 1/23/09 • Write 123.9 in • expanded form: • word form: • Round 13.961 to the nearest tenth. • Round 5.6229 to the nearest hundredth. • Estimate $5.21 x $7.98 =
P. O. D. 11/27/07 • Write 27.901 in • expanded form: • word form: • Put these numbers in order from least to greatest: 26.541, 26.145, 21.645, 25.641 • Round 5.086 to the nearest hundredth. • Estimate $10.33 + $5.91 =
P. O. D. 11/28/07 • Write each decimal in standard form: • four tenths • five and seven hundredths • Fill in the blank with >, <, or = • 23.04 ___ 23.40 14.4 ___ 14.40 • 3. Round 123.991 to the nearest tenth. • 4. Round 33.9123 to the nearest hundredth.
P. O. D. 12/11/06 • 13.98 – 3.001 • 22.4 + 1.652 • 5.89 – 1.983
Warm Up 1/7/09 • 15. 2 – 3.268 • 32.55 + 1.999 • 13.23 – (2.875 + 3.62)
Decimal Computations Adding and Subtracting Decimals *You must line up the decimals!! *You may use zeros as place holders for “empty” spots! Ex: 5.4 – 1.23 Ex. 16.77 + 9.9999
(12.3 – 8.209) + (4.3 + 2.11) • 19.33 + (4.07 – 1) • 14.75 + 2.1 – (2.654 + 3.62)
Warm Up 1/8/09 • Work with your partner to complete the “chicken sheet” and come up with the answer to the riddle at the end! You have 15 min!!
POP QUIZ 1/9/09 • 1. 15.67 + 9.774 = • 2. 45.6 – 2.3345 = • 3. 0.665 + 4.3321 = • 4. 14.5 – 5.4499= • 5. Round 54.889 to the nearest hundredth.
Multiplying Decimals • Ex: 3.6 x 0.4 = • Multiply the factors like they are whole numbers. • Count how many numbers are to the right of the decimal in the original problem. • Begin at the right in the product, count over that many spaces, and put your decimal point.
Find the product. • 1.6 x 2.8 3.15 x 2.3 • 3.1 x 77 42 x 4.8
P. O. D. 12/14/06 • (15 + 7.875) + (19.6 + 10) • 20.333 - (5.06 - 2) • 20.22 + 2.1 – (7.5 – 3.01)
Warm Up 1/9/09 • 12 + 3.72 + 10.39 – 1.8 • (6.03 - 4) + 16.722 • 12.8 x 3.4 • 5.6 x 8.9
P. O. D. 1/8/07 • List all of the factors of 24. • What numbers are factors of 345? • 2 3 4 5 6 9 10 • Use multiple in a sentence to describe 12, 24, 36. • Write 23.68 in • expanded form: • word form:
P. O. D. 1/9/07 • The Johnsons are planning their backyard for their new house. How much grass will they need to cover the area? How much fencing will they need to surround the area? • - Grass: • - Fencing: • 2. The Martins are also planning their backyard. • - Grass: • - Fencing: 30 yards 20 yards 25 yards 15 yards
P. O. D. 12/3/07 • 12.11 – 4.999 3. 4.15 x 3.2 • 16.2 + 1.872 4. 6.21 x 2.45
Dividing Decimals • Ex: 35.4 ÷ 6 = • Divide like normal – keep dividing – no remainders! • Put the decimal point in the answer directly above the decimal in the dividend. • *Keep your work lined up neatly!
P. O. D. 1/11/07 • 6.25 x 3 - 4 3. 3.36 x 2 + 4.2 x 3 • 12.5 + 4 x 1.9 4. 9.25 x 4 x 1.75
divisor quotient dividend Dividing Decimals (pg. 13)
Dividing Decimals Notes • Move the decimal in the divisor all the way to the right. • Move the decimal point in the dividend the same number of places. • Divide as normal. • Place the decimal point in the answer in the same point above the place in the dividend.
Find the quotient. • 6.37 ÷ 9.1 1.26 ÷ 0.9 • 11.24 ÷ 9 6 ÷ 0.12
Warm Up 1/12/09 • .32 + 4 x 1.5 3. 3.6 x 0.6 • 4.25 + 3.1 x 6 4. 1.2 - 0.34
P. O. D. 1/16/07 • 9.0 ÷ 4 3. 3.3 ÷ 2 • 6.15 ÷ 6 4. 4.1 ÷ 2
P. O. D. 1/9/08 • 1 ÷ 4 3. 3 ÷ 4 • 1 ÷ 2 4. 2 ÷ 3
Buzzing for Products Game • Player 1 chooses two problems by placing markers on them. • Both partners solve the problem and come to an agreement on the answer. • Give player 1 the points based on which “bee hive” the answer falls in. • Do the same process again with player 2, repeat, etc. • Be thinking of strategies of how to win the game!!
Warm Up 1-20-09 • 1. If I have ½ of the class who went to the Auburn Basketball game on Saturday, how many students would you say went? • 2. Are there other ways that you could show me or tell me that ½ of the class went without using a fraction? What are they? (I can think of two…) • 3. Would there be another way to make this statement: “I surveyed my class and found that ¾ of them like country music.”
Changing Fractions to Decimals • Change 3/4 to a decimal. • There are two ways to do this. • You can make a fraction equivalent to x/10 , x/100 , x/1,000IF you know this easily in your head. • You can divide the numerator by the denominator.
Change each fraction to a decimal. • 13/20 • 19/25 • 1 5/8 • 4/9 • 1/6
Warm Up 1/21/09 • Change the following fractions to decimals: ¼ 6/7 13/20 6/25 8/10
Changing Decimals to Fractions • Write 0.95 as a fraction. • Write it as a fraction like you say it. • Ex: ninety-five hundredths = • Reduce if necessary.
Change each decimal to a fraction. • 0.9 • 0.09 • 4.5 • 7.75 • 5.25
Warm Up 1/22/09 • Write 2.34 as a fraction in simplest form. • Write 0.250 as a fraction in simplest form. • Change 2 3/50 to a decimal. • Change 8/9 to a decimal. http://www.quia.com/jg/65724.html
P. O. D. 1/11/08 • 5.9 – 2.803 • Change 5/6 to a decimal. • 4.25 x 1.3 • 0.935 ÷ 0.5
P. O. D. 1/14/08 • 7.72 ÷ 2 • Change 3/25 to a decimal. • Write 0. 15 as a fraction in simplest form. • What is 50% as a fraction? As a decimal?
Changing Decimals to Percents • Ex: Change 0.23 to a percent. • Move the decimal point two places to the right. • Put the percent sign (%) on the right side of the number. Changing Percents to Decimals Ex: Change 75% to a decimal. 1. Move the decimal point two places to the left. 2. Drop the percent sign (%).
Change each decimal to a percent. • 0.25 • 0.095 • 0.6 • 0.05 • 5.25
Changing Percents to Decimals • Ex: Change 75% to a decimal. • Move the decimal point two places to the left. • Drop the percent sign (%).
Change each percent to a decimal. • 76% • 90% • 6% • 125% • 100%
P. O. D. 1/15/08 • 45.6 ÷ 2 • Change 120/500 to a decimal. • Write 0. 40 as a fraction in simplest form. • What is 25% as a fraction? As a decimal?
P. O. D. 1/16/08 Fill in the FDP Chart
P. O. D. 1/17/08 Fill in the FDP Chart. Turn in when finished.
P. O. D. 1/18/08 Fill in the FDP Chart.