Do Now 11/16/11Do Now 11/16/11Take out your HW from last night.Take out your HW from last night.

Text p. 106, #10-44 evensText p. 106, #10-44 evens

Copy HW in your planner.Copy HW in your planner.Text p. 110, #14-34 evensText p. 110, #14-34 evensQuiz sections 3-1 to 3-3 FridayQuiz sections 3-1 to 3-3 Friday

In your journal, divide the following In your journal, divide the following numbers. Describe any patterns you see numbers. Describe any patterns you see in the 4 problems.in the 4 problems.

900 900 ÷ 300÷ 30090 90 ÷ 30÷ 309 9 ÷ 3÷ 3 0.9 0.9 ÷ 0.3÷ 0.3

HomeworkHomework Text p. 106, #10-44 evens Text p. 106, #10-44 evens

10) 4.810) 4.8 12) -8.112) -8.1 14) 29.414) 29.4 16) 90.7316) 90.73 18) 7.6818) 7.68 20) 24.3820) 24.38 22) -0.154222) -0.1542 24) -40.94524) -40.945 26) 284.4 km26) 284.4 km 28) -19.6828) -19.68

30) 16.630) 16.6 32) -0.087632) -0.0876 34) -488.8534) -488.85 36) 30.49536) 30.495 38) -0.772838) -0.7728 40) $319.6340) $319.63 42) a. yes42) a. yes

b. about 42 million peopleb. about 42 million people 44) 21.512444) 21.5124

ObjectiveObjective

SWBAT divide decimalsSWBAT divide decimals

Section 3-3 “Dividing Decimals”Section 3-3 “Dividing Decimals”

By multiplying both numbers by the same power By multiplying both numbers by the same power of ten, you can make the of ten, you can make the divisordivisor an integer. an integer. Dividing by an integer is much easier than Dividing by an integer is much easier than dividing by a decimal.dividing by a decimal.

How do you divide two decimal numbers

0.6 ÷ 0.6 ÷ 0.30.3 0.30.3 0.6 0.6divisordivisor

oror

0.30.3 0.6 0.6 33 6 6Multiply both Multiply both numbers by 10numbers by 10

22

Find the quotient of 0.246 ÷ 0.03Find the quotient of 0.246 ÷ 0.03

88

24240 60 6

22

66FinishedFinished

..24 624 633Move the decimal point Move the decimal point straight up, then divide as straight up, then divide as you normally would.you normally would.

0.030.03 0.246 0.246 33 24.6 24.6Multiply both numbers Multiply both numbers

by 100 to make the by 100 to make the divisor an integerdivisor an integer

Find the quotient of 7.75 ÷ 1.25Find the quotient of 7.75 ÷ 1.25

66

750750

2525

22

250250FinishedFinished

..775 775 125125Move the decimal point Move the decimal point straight up, then divide as straight up, then divide as you normally would.you normally would.

1.251.25 7.75 7.75 125125 775 775Multiply both numbers Multiply both numbers

by 100 to make the by 100 to make the divisor an integerdivisor an integer

00

““Dividing Integers”Dividing Integers”Rule #1Rule #1

The quotient of two integers with the same sign The quotient of two integers with the same sign is always POSITIVE!is always POSITIVE!

8 ÷ 2 = 4 -18 ÷ (-3) = 68 ÷ 2 = 4 -18 ÷ (-3) = 6

Rule #2Rule #2

The quotient of two integers with different signs The quotient of two integers with different signs is always NEGATIVE!is always NEGATIVE!

-6 ÷ 3 = -2 28 ÷ (-4) = -7-6 ÷ 3 = -2 28 ÷ (-4) = -7

Remember this?

Remember this?

Negative or Positive?Negative or Positive?Without solving the problem, decide whether Without solving the problem, decide whether

the quotient will be positive, negative, or zero. the quotient will be positive, negative, or zero. Then estimate the answer to the nearest Then estimate the answer to the nearest integer.integer.

-8.2 -8.2 ÷÷ (-4.36) (-4.36)positivepositive

-23.3 -23.3 ÷÷ 11.76 11.76negativnegativ

ee

-3.3 -3.3 ÷÷ 3.3 3.3negativenegative

-17.9 -17.9 ÷÷ (-6.02) (-6.02)positivepositive

Find the quotient of -11.2 ÷ 0.8Find the quotient of -11.2 ÷ 0.8

11

88

3 3

44

3232FinishedFinished

11 11 88

0.80.8 11.2 11.2 88 112 112Multiply both numbers Multiply both numbers

by 10 to make the by 10 to make the divisor an integerdivisor an integer

22

The quotient of two The quotient of two integers with different integers with different

signs is always signs is always NEGATIVE!NEGATIVE!

-

..

Find the quotient of -0.875 ÷ (-0.25)Find the quotient of -0.875 ÷ (-0.25)

33

757512 12

55

125125FinishedFinished

..87 87 2525Move the decimal point Move the decimal point straight up, then divide as straight up, then divide as you normally would.you normally would.

0.250.25 0.875 0.875 2525 87.5 87.5Multiply both numbers Multiply both numbers

by 100 to make the by 100 to make the divisor an integerdivisor an integer

55The quotient of two The quotient of two

integers with the same integers with the same sign is always sign is always

POSITIVE!POSITIVE!

Find the quotient of -9 ÷ 1.25Find the quotient of -9 ÷ 1.25

77

87587525 25

22

250250FinishedFinished

..900 900 125125Move the decimal point Move the decimal point straight up, then divide as straight up, then divide as you normally would.you normally would.

1.251.25 9.00 9.00 125125 900 900Multiply both numbers Multiply both numbers

by 100 to make the by 100 to make the divisor an integerdivisor an integer

00The quotient of two The quotient of two

integers with different integers with different signs is always signs is always

NEGATIVE!NEGATIVE!

--

““Real-Life”Real-Life”If Sandy and her family used 14.95 If Sandy and her family used 14.95

gallons of gas to drive 358.8 miles, how gallons of gas to drive 358.8 miles, how many miles per gallon did the car get? many miles per gallon did the car get?

The car got 24 miles per The car got 24 miles per gallongallon

14.9514.95 358.8 358.8

14951495 35880 35880

Multiply both numbers

Multiply both numbers by 100 to make the

by 100 to make the divisor an integer

divisor an integer

2424

2424

HomeworkHomeworkText p. 110, #14-34 evensText p. 110, #14-34 evens