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Lesson 3 Division_2017.notebook 1 May 09, 2017 Multiplication and Division of Decimals ‐ Notes # 4 Division ‐ One digit whole number divisor. ‐ Terminology ‐ Divisor ‐ Dividend ‐ Quotient
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Multiplication and Division of Decimals ‐ Notes # 4Division ‐ One digit whole number divisor.
‐ Terminology‐ Divisor‐ Dividend‐ Quotient
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What does division mean?
Example: 12 ÷ 3 (If I divide 12 among 3 groups, how many will be in each group?)
Let's use 12 apples and divide evenly them into 3 groups.
CHECK: Quotient x divisor = dividend
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Other examples:
32 ÷ 8
62 ÷ 5
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Estimation of Quotients:
‐ Use the "Think Multiplication" strategy.(Round 36.317 to the nearest whole number that is a multiple of the divisor)
‐ Example 1: 36.317 ÷ 2
Think ‐ what number is a multiple of 2 that is close to 36.317?Round 36.317 to 36 because 2 x 18 = 36Therefore we know that 36 ÷ 2 = 18
‐ Example 2: 13.23 ÷ 4Think - what number is a multiple of 4 that is close to 13.23?Round 13.23 to
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‐ Example 3: 15.2 ÷ 6
Think ‐ what number is a multiple of 6 that is close to 15.2?Round 15.2 toTherefore we know that
‐ Example 4: 20.23 ÷ 7Think - what number is a multiple of 7 that is close to 20.23?Round 20.23 to
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Practice: Paula is building a bird house and she needs to have 24.6 m of lumber to complete the project. Each piece of lumber is 3 m long. About how many pieces of lumber will she need to build the bird house?
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Practice: Philip is going to the store. He has $15.00 in his pocket and he wants to buy as many trays of strawberries as he can. One tray of strawberries cost $3.69. Ask students how can estimation help Philip determine how many trays he can buy with his $15.00?
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PracticeEstimate the following quotients.
(i) 36.317 ÷ 2
(ii) 45.036 ÷ 3
(iii) 16.02 ÷ 4
(iv) 80.987÷ 9
(Handout)
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Solving Decimal Division Using Base Ten Blocks:NOTE: ‐ In multiplication we start with the hundredths blocks (In our representation that was the unit block)‐ In division we start with the flats.
Solve:
3.63 ÷ 3 = _________CHECK:
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Practice:8.23 ÷ 4 = ______Check:
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Practice:2.14 ÷ 3Check:
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Practice:1.35 ÷ 2Check:
(Handout)
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Practice:Rebecca, Natalie, and Emily made $12.33 from their lemonade stand. If the money is shared equally among the girls, how much does each girl receive?
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Problem 5:Write a division problem using the following division statement
96.6 ÷ 7
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Problem 6:Find the quotient of 2.4 ÷ 4.Explain how using base ten blocks could help determine the solution.
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Problem 6:Susie had 25.55 metres of string. She needed to hang 5 balloons from the gym ceiling. How much string did she use for each balloon if she hung each one equally?
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Problem 7:A group of 7 students ordered pizza and the total cost was $51.45. How much would each student have to pay if they shared the cost equally?
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Problem 8:Five friends found 4 loonies on the road. They are now trying to figure out how to equally share this amount. Help the friends by showing them how this could be done.
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Practice:
Text page 298 Questions: 8, 10, 11, 13
Text page 303 Questions: 7, 8
Text page 308 Questions: 5, 7
Text page 312 Questions: 3, 4, 6, 8, 9
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Using the algorithm for Division of Decimals
Solve using the algorithm and then check using base ten blocks and multiplication.
28.4 ÷ 4
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Solve using the algorithm and then check using base ten blocks and multiplication.
13.8 ÷ 6
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Solve using the algorithm and then check using base ten blocks and multiplication.
43.4 ÷ 7
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Multiplication or Division?
Dylan found a piece of lumber in his shed. He cut 12.34 cm off each end where the piece was broken. Then he cut the remaining piece of lumber into 3 equal pieces. Each piece is now 21.57 cm long. How long was the piece of lumber when Dylan found it? Solve.
Multipliction OR division?
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Multiplication or Division?
Four friends purchased snacks for a sleepover. They bought 3 bags of popcorn at $1.59 each and 2 cartons of orange juice at $4.19 each. They agreed to split the bill equally among them. How much does each person have to pay? Solve.
Multipliction OR division?
(Handout)
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