3-3 Multiplying Decimals Warm Up Multiply  ,240  83

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Presentation transcript:

3-3 Multiplying Decimals Warm Up Multiply. 1. 842  76 2. 1,240  83 Course 2 3-3 Multiplying Decimals Warm Up Multiply. 1. 842  76 2. 1,240  83 3. 821  712 4. 302  15

Course 2 3-3 Multiplying Decimals Learn to multiply decimals.

 = 3-3 Multiplying Decimals Course 2 3-3 Multiplying Decimals You can use decimal grids to model multiplication of decimals. Each large square represents 1. Each row and column represents 0.1. Each small square represents 0.01. The area where the shading overlaps shows the product of the two decimals. 0.7 0.8 0.56  =

7  8 56 0.7  0.8 0. 56 3-3 Multiplying Decimals 1 decimal place Course 2 3-3 Multiplying Decimals To multiply decimals, multiply as you would with integers. To place the decimal point in the product, count the number of decimal places in each factor. The product should have the same number of decimal places in the factors. 7  8 56 0.7  0.8 1 decimal place 1 decimal place + 0. 56 2 decimal places Same digits

Additional Example 1: Multiplying Integers by Decimals Course 2 3-3 Multiplying Decimals Additional Example 1: Multiplying Integers by Decimals Multiply. A. 7 · 0.1 7  0.1 B. –3 · 0.03 –3  0.03

Additional Example 1: Multiplying Integers by Decimals Course 2 3-3 Multiplying Decimals Additional Example 1: Multiplying Integers by Decimals Multiply. C. 2.45 · 35

3-3 Multiplying Decimals Check It Out: Example 1 Multiply. A. 8 · 0.3 Course 2 3-3 Multiplying Decimals Check It Out: Example 1 Multiply. A. 8 · 0.3 B. –2 · 0.04

3-3 Multiplying Decimals Check It Out: Example 1 Multiply. Course 2 3-3 Multiplying Decimals Check It Out: Example 1 Multiply. C. 3.65 · 15

Additional Example 2A: Multiplying Decimals by Decimals Course 2 3-3 Multiplying Decimals Additional Example 2A: Multiplying Decimals by Decimals Multiply. Estimate to check whether each answer is reasonable. 2.4 · 1.8

Additional Example 2B: Multiplying Decimals by Decimals Course 2 3-3 Multiplying Decimals Additional Example 2B: Multiplying Decimals by Decimals Multiply. Estimate to check whether each answer is reasonable. –3.84 · 0.9

3-3 Multiplying Decimals Check It Out: Example 2A Course 2 3-3 Multiplying Decimals Check It Out: Example 2A Multiply. Estimate to check whether each answer is reasonable. 3.2 · 1.6

3-3 Multiplying Decimals Check It Out: Example 2B Course 2 3-3 Multiplying Decimals Check It Out: Example 2B Multiply. Estimate to check whether each answer is reasonable. –2.96 · 0.7

Additional Example 3: Application Course 2 3-3 Multiplying Decimals Additional Example 3: Application To find your weight on another planet, multiply the relative gravitational pull of the planet and your weight. The relative gravitational pull on Mars is 0.38. What would a person who weighs 85 pounds on Earth weigh on Mars?

Additional Example 3 Continued Course 2 3-3 Multiplying Decimals Additional Example 3 Continued To find your weight on another planet, multiply the relative gravitational pull of the planet and your weight. The relative gravitational pull on Mars is 0.38. What would a person who weighs 85 pounds on Earth weigh on Mars? Estimate

Insert Lesson Title Here Course 2 3-3 Multiplying Decimals Insert Lesson Title Here Check It Out: Example 3 Jet fuel weighs approximately 6.2 pounds per gallon. If a plane was serviced with 1,012 gallons of fuel, how many pounds of fuel were used?

Insert Lesson Title Here Course 2 3-3 Multiplying Decimals Insert Lesson Title Here Check It Out: Example 3 Continued Jet fuel weighs approximately 6.2 pounds per gallon. If a plane was serviced with 1,012 gallons of fuel, how many pounds of fuel were used?