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Review From Yesterday Find the Sum: 6.2 + 4.33 + 12.332 Find the difference: 14.4 – 3.25

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Review adding and subtracting Find the Sum: 2.33 + 9.4 + 6.456 Find the difference: 12.6 – 3.44

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3.5 Multiplying Decimals EQ: How do you solve problems involving the addition, subtraction, multiplication, and division of decimals? (SPI: 0606.2.3) /CC.6EE.2b

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62 X 12 124 +620 744 62 X 1.2 124 +620 74.4 62 X.12 124 +620 7.44 6.2 X.12 124 +620.744 How do we multiply with decimals? Multiplying without decimals, multiply out like normal.62 X.12 124 +620.0744 Below I multiplied using the same numbers, just added decimals, what do you notice? Can you identify a pattern?

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Multiplying Decimals To multiple numbers with decimals follow these three steps: 1)Multiply as if the factors were whole numbers 2)Count the total decimal places in the factors 3)Give the product the total decimal places of the factors

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Step 1: Multiply as if the factors were whole numbers 8.5 X2.5 4 2 5 1 7 0 0 2 1 2 5 next…..

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Step 2: Count the total decimal places in the factors 8.5 X2.5 4 2 5 1 7 0 0 2 1 2 5 next…..

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Step 3: Give the product the total decimal places of the factors 8.5 X2.5 4 2 5 1 7 0 0 2 1.2 5

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4 x 3.6 What # should go on top? Why? 3.55 x.05

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.47 x 0.6 0.7 x 0.9

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NOTE BOOK You can use graph paper to model decimal multiplication. Here is a model of the product of 0.7 and 0.3. 1 1 0.3 0.7 Because 21 of the 100 squares are shaded, 0.7 0.3 Words Numbers Multiplying Decimals = 0.21. Multiply decimals as you would whole numbers. Then place the decimal point in the product. The number of decimal places in the product is equal to the sum of the number of decimal places in the factors. 0.7 0.3 = 0.21 Multiplying Decimals

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Showdown.31 x.7 =.217.9 x.03 =.027 2 x.006 =.012.66 x 2.52 = 1.6632

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. How well do you understand multiplying decimals? I don’t understand I nearly understand I fully understand

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Think About it…… 12 ÷ 6 = 2 12 ÷ 0.6 = 20 What happens when we divide? What do you notice about the quotient? 12 x 6 = 72 12 x 0.6 = ?? What do you think the product of 12 x 0.6 is going to be? Why do you think this?

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