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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. 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. Problem of the Day

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Warm Up

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. 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. 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. Sunshine State Standards MA.6.A.1.2 Multiply…decimals efficiently. MA.6.A.1.3 Solve real-world problems involving multiplication…of…decimals. AlsoMA.6.A.1.1

  5. 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. 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. 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? 7 × 0.17 = 1.19 lb

  8. Helpful Hint You can use a decimal grid to model multiplication of decimals.

  9. Multiply. Then place the decimal point. 1 decimal place + 1 decimal place 2 decimal places Additional Example 2A: Multiplying a Decimal by a Decimal Find the product. 0.3  0.4 0.3  0.4 0.12

  10. Estimate the product. 0.8 is close to 1. Multiply. Then place the decimal point. 2 decimal places + 1 decimal place 3 decimal places; use a placeholder zero 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.

  11. Estimate the product. Round each factor to the nearest whole number. Multiply. Then place the decimal point. 2 decimal places + 1 decimal place 3 decimal places 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.

  12. Check It Out: Example 2 Find the product. 3.80 × 3.3 3.80  3.3 1140 11400 12.540 = 12.54

  13. Substitute 3.062 for x. 3 decimal places + 0 decimal places 3 decimal places Remember! These notations all mean multiply 3 times x. 3 •x 3x 3(x) 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

  14. Substitute 4.79 for x. 2 decimal places + 0 decimal places 2 decimal places 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

  15. Check It Out: Example 3 Evaluate 5x for the value of x. x = 6.22 5(6.22) = 31.10 = 31.1

  16. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  17. Lesson Quiz Find each product. 1. 0.8  0.07 2. 0.006  0.07 Evaluate 8x for each value of x. 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

  18. Lesson Quiz for Student Response Systems 1. Identify the product. 0.29  0.01 A. 0.29 B. 0.029 C. 0.0029 D. 0.00029

  19. Lesson Quiz for Student Response Systems 2. Identify the product. 0.052  0.03 A. 1.0056 B. 0.1056 C. 0.0156 D. 0.00156

  20. Lesson Quiz for Student Response Systems 3. Evaluate 4x for x = 5.325. A. 21 B. 21.2 C. 21.28 D. 21.3

  21. Lesson Quiz for Student Response Systems 4. Evaluate 9x for x = 0.012. A. 10.8 B. 1.08 C. 0.108 D. 0.0108

  22. Lesson Quiz for Student Response Systems 5. Strawberry lemonade costs $0.89 per packet. Karen bought 58 packets of strawberry lemonade for a picnic. How much did she pay for it? A. $51.62 B. $51.86 C. $52.54 D. $52.93

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