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Multiplying Decimals Course 1: Lessons and Examples

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davidphillips
20 diapositives · 231 Views · Jan 01, 2020

Learn to multiply decimals by whole numbers and decimals with helpful hints and examples. Discover how to estimate, evaluate expressions, and solve problems involving decimal multiplication. From warm-ups to real-world applications.

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Multiplying Decimals Course 1: Lessons and Examples
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  1. 3-5 Multiplying Decimals Course 1 L-2 Warm Up Problem of the Day Lesson Presentation

  2. 3-5 Multiplying Decimals Course 1 Warm Up Multiply. 1.87  320 27,840 2. 943  800 754,400 3. 3,806  10 38,060 4. 1,207  100 120,700 5. 72  196 14,112 6. 120  523 62,760

  3. 3-5 Multiplying Decimals Course 1 Problem of the Day Carmen and Rita sold homemade oatmeal cookies. After 8 days, they had sales totaling $70. Each day, their sales were $0.50 higher than the previous day. What were their sales on the first day? $7.00

  4. 3-5 Multiplying Decimals Course 1 Learn to multiply decimals by whole numbers and by decimals.

  5. 3-5 Multiplying Decimals Course 1 Additional Example 1: Science Application Something that weighs 1 lb on Earth weighs 0.17 lb on the Moon. How much would a 4 lb dumbbell weigh on the Moon? Multiply 4 by 0.17, since 1 pound on Earth is 0.17 pound on the Moon. 4  0.17 17 Multiply as you would with whole numbers.  4 68

  6. 3-5 Multiplying Decimals Course 1 Additional Example 1 Continued Something that weighs 1 lb on Earth weighs 0.17 lb on the Moon. How much would a 4 lb dumbbell weigh on the Moon? Place the decimal point by adding the number of decimal places in the numbers multiplied. 0.17 2 decimal places  4 + 0 decimal places 0.68 2 decimal places A 4 lb dumbbell on Earth weighs 0.68 lb on the Moon.

  7. 3-5 Multiplying Decimals Course 1 Check It Out: Example 1 Something that weighs 1 lb on Earth weighs 0.17 lb on the Moon. How much would a 7 lb dumbbell weigh on the Moon? Multiply 7 by 0.17, since 1 pound on Earth is 0.17 pound on the Moon. 7  0.17 17 Multiply as you would with whole numbers.  7 119

  8. 3-5 Multiplying Decimals Course 1 Check It Out: Example 1 Continued Something that weighs 1 lb on Earth weighs 0.17 lb on the Moon. How much would a 7 lb dumbbell weigh on the Moon? Place the decimal point by adding the number of decimal places in the numbers multiplied. 0.17 2 decimal places  7 + 0 decimal places 1.19 2 decimal places A 7 lb dumbbell on Earth weighs 1.19 lb on the Moon.

  9. 3-5 Multiplying Decimals Helpful Hint You can use a decimal grid to model multiplication of decimals. Course 1

  10. 3-5 Multiplying Decimals Multiply. Then place the decimal point. 1 decimal place + 1 decimal place 2 decimal places Course 1 Additional Example 2A: Multiplying a Decimal by a Decimal Find the product. 0.3  0.4 0.3  0.4 0.12

  11. 3-5 Multiplying Decimals Multiply. Then place the decimal point. 2 decimal places + 1 decimal place 3 decimal places; use a placeholder zero Estimate the product. 0.8 is close to 1. Course 1 Additional Example 2B: Multiplying a Decimal by a Decimal 0.07  0.8 0.07  1 = 0.07 0.07  0.8 0.056 0.056 is close to the estimate of 0.07. The answer is reasonable.

  12. 3-5 Multiplying Decimals 2 decimal places Estimate the product. Round each factor to the nearest whole number. Multiply. Then place the decimal point. 3 decimal places + 1 decimal place Course 1 Additional Example 2C: Multiplying a Decimal by a Decimal 1.34  2.5 1  3 = 3 1.34  2.5 670 2680 3.350 3.350 is close to the estimate of 3. The answer is reasonable.

  13. 3-5 Multiplying Decimals Multiply. Then place the decimal point. 1 decimal place + 1 decimal place 2 decimal places Course 1 Check It Out: Example 2A Find the product. 0.5  0.2 0.5  0.2 0.10

  14. 3-5 Multiplying Decimals Multiply. Then place the decimal point. 2 decimal places + 1 decimal place 3 decimal places; use a placeholder zero Estimate the product. 0.9 is close to 1. Course 1 Check It Out: Example 2B 0.03  0.9 0.03  1 = 0.03 0.03  0.9 0.027 0.027 is close to the estimate of 0.03. The answer is reasonable.

  15. 3-5 Multiplying Decimals 2 decimal places Estimate the product. Round each factor to the nearest whole number. Multiply. Then place the decimal point. 3 decimal places + 1 decimal places Course 1 Check It Out: Example 2C 3.80  3.3 4  3 = 12 3.80  3.3 1140 11400 12.540 12.54 is close to the estimate of 12. The answer is reasonable.

  16. 3-5 Multiplying Decimals Remember! These notations all mean multiply 3 times x. 3 •x 3x 3(x) 3 decimal places + 0 decimal places 3 decimal places Substitute 3.062 for x. Course 1 Additional Example 3A: Evaluating Decimal Expressions Evaluate 5x for the value of x. x = 3.062 5x = 5(3.062) 3.062  5 15.310

  17. 3-5 Multiplying Decimals 2 decimal places + 0 decimal places 2 decimal places Substitute 4.79 for x. Course 1 Additional Example 3B: Evaluating Decimal Expressions Evaluate 5x for the value of x. x = 4.79 5x = 5(4.79) 4.79  5 23.95

  18. 3-5 Multiplying Decimals 3 decimal places + 0 decimal places 3 decimal places Substitute 2.012 for x. Course 1 Check It Out: Example 3A Evaluate 5x for the value of x. x = 2.012 5x = 5(2.012) 2.012  5 10.060

  19. 3-5 Multiplying Decimals 2 decimal places + 0 decimal places 2 decimal places Substitute 6.22 for x. Course 1 Check It Out: Example 3B Evaluate 5x for the value of x. x = 6.22 5x = 5(6.22) 6.22  5 31.10

  20. 3-5 Multiplying Decimals Course 1 Insert Lesson Title Here Lesson Quiz Find each product. 1. 0.8 2. 0.006  0.07 Evaluate 8x for each value of x.  0.07 0.056 0.00042 3.x = 2.705 4.x = 0.804 6.432 21.64 5. “Pick your own” peaches sell for $0.95 per pound. You picked 92 pounds of peaches. How much were you charged? $87.40