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  • 5 Minute Check Complete in your notebook. Estimate each product. 1. 9.7 x 3 2. 3.4 x 5 3. 17.5 x 8 Multiply. 4. 1.5 x 6 5. 3.1 x 13 6. 3.48 x 25
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5 Minute Check Complete in your notebook. Estimate each product. 1. 9.7 x 3 2. 3.4 x 5 3. 17.5 x 8 Multiply. 4. 1.5 x 6 5. 3.1 x 13 6. 3.48 x 25

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  • Slide 1
  • 5 Minute Check Complete in your notebook. Estimate each product. 1. 9.7 x 3 2. 3.4 x 5 3. 17.5 x 8 Multiply. 4. 1.5 x 6 5. 3.1 x 13 6. 3.48 x 25
  • Slide 2
  • 5 Minute Check Complete in your notebook. Estimate each product. 1. 9.7 x 3
  • Slide 3
  • 5 Minute Check Complete in your notebook. Estimate each product. 1. 9.7 x 3 10 x 3 = 30
  • Slide 4
  • 5 Minute Check Complete in your notebook. Estimate each product. 2. 3.4 x 5
  • Slide 5
  • 5 Minute Check Complete in your notebook. Estimate each product. 2. 3.4 x 5 3 x 5 = 15
  • Slide 6
  • 5 Minute Check Complete in your notebook. Estimate each product. 3. 17.5 x 8
  • Slide 7
  • 5 Minute Check Complete in your notebook. Estimate each product. 3. 17.5 x 8 18 x 8 = 144
  • Slide 8
  • 5 Minute Check Complete in your notebook. Multiply. 4. 1.5 x 6
  • Slide 9
  • 5 Minute Check Complete in your notebook. Multiply. 4. 1.5 x 6 1.51 decimal place x 6 9.01 decimal place
  • Slide 10
  • 5 Minute Check Complete in your notebook. Multiply. 5. 3.1 x 13
  • Slide 11
  • 5 Minute Check Complete in your notebook. Multiply. 5. 3.1 x 13 3.11 decimal place x 1 3 Dont forget the zero 93 + 310 40.31 decimal place
  • Slide 12
  • 5 Minute Check Complete in your notebook. Multiply. 6. 3.48 x 25
  • Slide 13
  • 5 Minute Check Complete in your notebook. Multiply. 6. 3.48 x 25 3.482 decimal places x 25 Dont forget the zero 1740 + 6960 87.002 decimal places
  • Slide 14
  • Flashcards!
  • Slide 15
  • Wednesday, Oct 9 Lesson 3.2 and 3.4 Multiplying Decimals by Decimals
  • Slide 16
  • Objective: To understand how to estimate and multiply decimals by decimals.
  • Slide 17
  • Multiplying Decimals by Decimals At the end of this lesson you should be able to answer the following questions. How do you determine which place value to use when multiplying decimals by decimals? Why is estimating not as helpful when multiplying very small numbers?
  • Slide 18
  • Multiplying Decimals by Decimals To multiply decimals, multiply as normal and then place the decimal point.
  • Slide 19
  • Multiplying Decimals by Decimals Find the product of 8.7 and 2.8. First round the numbers to the nearest whole number to get an estimate. What does 8.7 round to? Digits from 0 to 4 round down and digits from 5-9 round up.
  • Slide 20
  • Multiplying Decimals by Decimals Find the product of 8.7 and 2.8. First round the numbers to the nearest whole number to get an estimate. What does 8.7 round to? 9 What does 2.8 round to?
  • Slide 21
  • Multiplying Decimals by Decimals Find the product of 8.7 and 2.8. First round the numbers to the nearest whole number to get an estimate. What does 8.7 round to? 9 What does 2.8 round to? 3
  • Slide 22
  • Multiplying Decimals by Decimals Find the product of 8.7 and 2.8. First round the numbers to the nearest whole number to get an estimate. 9 x 3 = 27, so 8.7 x 2.8 27
  • Slide 23
  • Multiplying Decimals by Decimals Find the product of 8.7 and 2.8. To multiply decimals. Step 1 Stack the numbers with the number with the most digits on top. 8.7 x 2.8 (Since both numbers have 2 digits, either could be on top )
  • Slide 24
  • Multiplying Decimals by Decimals Find the product of 8.7 and 2.8. To multiply decimals. Step 2 Multiply the digits. 8.7 x 2.8 696 Dont forget to add the zero. +1740 2436
  • Slide 25
  • Multiplying Decimals by Decimals Find the product of 8.7 and 2.8. To multiply decimals. Step 3 Determine the number of decimal places in the factors to locate the decimal place in the product. 8.7 1 decimal place x 2.8 + 1 decimal place 696 +1740 24.36 2 decimal places
  • Slide 26
  • Multiplying Decimals by Decimals Find the product of 8.7 and 2.8. 8.7 x 2.8 696 +1740 24.36 Is this a reasonable answer?
  • Slide 27
  • Multiplying Decimals by Decimals Find the product of 8.7 and 2.8. Is this a reasonable answer? 24.35 27
  • Slide 28
  • Multiplying Decimals by Decimals Find the product of.98 and 7.3 Estimate?
  • Slide 29
  • Multiplying Decimals by Decimals Find the product of.98 and 7.3 Estimate? 1 x 7 = 7, so.98 x 7.3 7 Next?
  • Slide 30
  • Multiplying Decimals by Decimals Find the product of.98 and 7.3.98 x 7.3 Next?
  • Slide 31
  • Multiplying Decimals by Decimals Find the product of.98 and 7.3.98 x 7.3 294 Dont forget to add a zero +6860 7154 Next?
  • Slide 32
  • Multiplying Decimals by Decimals Find the product of.98 and 7.3.98 2 decimal places x 7.3 +1 decimal place 294 +6860 7.154 3 decimal places Is this a reasonable answer?
  • Slide 33
  • Multiplying Decimals by Decimals Find the product of.98 and 7.3.98 2 decimal places x 7.3 +1 decimal place 294 +6860 7.154 3 decimal places Is this a reasonable answer? 7.154 7
  • Slide 34
  • Multiplying Decimals by Decimals Find the product of 3.6 and 0.05. Estimate?
  • Slide 35
  • Multiplying Decimals by Decimals Find the product of 3.6 and 0.05. 4 x 0 = 0, so 3.6 x 0.05 0
  • Slide 36
  • Multiplying Decimals by Decimals Find the product of 3.6 and 0.05. 4 x 0 = 4, so 3.6 x 0.05 0 Actual product?
  • Slide 37
  • Multiplying Decimals by Decimals Find the product of 3.6 and 0.05 0.05 2 decimal places x 3.6 +1 decimal place 0030 + 0015 0.045 3 decimal places Is this a reasonable answer?
  • Slide 38
  • Multiplying Decimals by Decimals Find the product of 3.6 and 0.05 0.05 2 decimal places x 3.6 +1 decimal place 030 +0150 0.180 3 decimal places Is this a reasonable answer? 0.180 0
  • Slide 39
  • Multiplying Decimals by Decimals Find the product of 0.112 and 7.2 Estimate?
  • Slide 40
  • Multiplying Decimals by Decimals Find the product of 0.112 and 7.2 Estimate? 0 x 7 = 0, so 0.112 x 7.2 0 Actual product?
  • Slide 41
  • Multiplying Decimals by Decimals Find the product of 0.112 and 7.2 0.112 3 decimal places x 7.2 +1 decimal place 0224 +07840.8064 4 decimal places Is this a reasonable answer?
  • Slide 42
  • Multiplying Decimals by Decimals Find the product of 0.112 and 7.2 0.112 3 decimal places x 7.2 +1 decimal place 0224 +07840.8064 4 decimal places Is this a reasonable answer? 0.8064 0
  • Slide 43
  • Multiplying Decimals by Decimals Find the product of 1.4 and 0.067 Estimate?
  • Slide 44
  • Multiplying Decimals by Decimals Find the product of 1.4 and 0.067 Estimate? 1 x 0 = 0 1.4 x 0.067 0 Actual product?
  • Slide 45
  • Multiplying Decimals by Decimals Find the product of 1.4 and 0.067 0.067 3 decimal places x 1.4 +1 decimal place 0268 +00670 0.0938 4 decimal places Is this a reasonable answer?
  • Slide 46
  • Multiplying Decimals by Decimals Find the product of 1.4 and 0.067 0.067 3 decimal places x 1.4 +1 decimal place 0268 +00670 0.0938 4 decimal places Is this a reasonable answer? 0.0938 0
  • Slide 47
  • Multiplying Decimals by Decimals Mr. Averys car can travel 28.45 miles on one gallon of gas. If his gas tank holds 11.5 gallons, how far can he travel on one tank? Estimate?
  • Slide 48
  • Multiplying Decimals by Decimals Mr. Averys car can travel 28.45 miles on one gallon of gas. If his gas tank holds 11.5 gallons, how far can he travel on one tank? Estimate? 28 x 12 = 336 Keep in mind 28 x 12 = 28 x 10 + 28 x 2 = 280 + 56 = 336 Actual product?
  • Slide 49
  • Multiplying Decimals by Decimals Mr. Averys car can travel 28.45 miles on one gallon of gas. If his gas tank holds 11.5 gallons, how far can he travel on one tank? 28.45 2 decimal places x 11.5 +1 decimal place 14225 28450 +284500 327.175 3 decimal places Is this a reasonable answer?
  • Slide 50
  • Multiplying Decimals by Decimals Mr. Averys car can travel 28.45 miles on one gallon of gas. If his gas tank holds 11.5 gallons, how far can he travel on one tank? 28.45 2 decimal places x 11.5 +1 decimal place 14225 28450 +284500 327.175 3 decimal places Is this a reasonable answer? 327.175 336
  • Slide 51
  • Multiplying Decimals by Decimals Determine whether the following statement is always, sometimes or never true. The product of two decimals less than 1 is less than either of the factors. Give examples to support your answer.
  • Slide 52
  • Multiplying Decimals by Decimals Determine whether the following statement is always, sometimes or never true. The product of two decimals less than 1 is less than either of the factors. Always. 0.3 x 0.5 =.15, which is less than 0.3 and 0.5 0.75 x 0.6 = 0.45
  • Slide 53
  • Multiplying Decimals by Decimals Complete the Mid-Chapter Check on page 214. When complete bring to the desk and show Mr. Avery. Agenda Notes Homework Homework Practice 3-2/3-4 Due Thursday, Oct 10 Mid-Chapter 3 Quiz Thursday, Oct 10

5 Minute Check Complete on your homework. Estimate and multiply. 1. 9.7 x 3 2. 3.4 x 5 3. 17.5 x 8 4. 3.48 x 25

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