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Mastering Decimal Operations: Adding, Subtracting, Multiplying, and Dividing Decimals

Review adding, subtracting, multiplying, and dividing decimals. Learn how to solve math problems involving decimals effectively. Understand the process of multiplying decimals step by step, including identifying patterns and applying the correct decimal places. Practice multiplication and division of decimals for better comprehension. Engage with interactive activities and examples to enhance understanding.

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Mastering Decimal Operations: Adding, Subtracting, Multiplying, and Dividing Decimals

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

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

  3. 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

  4. How do we multiply with decimals? 62 X 12 124 +620 744 Multiplying without decimals, multiply out like normal Below I multiplied using the same numbers, just added decimals, what do you notice? Can you identify a pattern? 62 X 1.2 124 +620 74.4 62 X .12 124 +620 7.44 6.2 X .12 124 +620 .744 .62 X .12 124 +620 .0744

  5. Multiplying Decimals • To multiple numbers with decimals follow these three steps: • Multiply as if the factors were whole numbers • Count the total decimal places in the factors • Give the product the total decimal places of the factors

  6. 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…..

  7. 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…..

  8. 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

  9. 4 x 3.6 • What # should go on top? Why? • 3.55 x .05

  10. .47 x 0.6 • 0.7 x 0.9

  11. BOOK NOTE Multiplying Decimals You can use graph paper to model decimal multiplication. Here is a model of the product of0.7and0.3. 0.7 0.3 1 Because 21 of the 100 squares are shaded, 0.70.3 = 0.21. 1 Multiplying Decimals Words 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 Numbers

  12. .31 x .7 = .217 .9 x .03 = .027 2 x .006 = .012 .66 x 2.52 = 1.6632 Showdown

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

  14. 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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