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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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Presentation on theme: "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."— Presentation transcript:

1 5 Minute Check Complete in your notebook. Estimate each product x x x 8 Multiply x x x 25

2 5 Minute Check Complete in your notebook. Estimate each product x 3

3 5 Minute Check Complete in your notebook. Estimate each product x 3 10 x 3 = 30

4 5 Minute Check Complete in your notebook. Estimate each product x 5

5 5 Minute Check Complete in your notebook. Estimate each product x 5 3 x 5 = 15

6 5 Minute Check Complete in your notebook. Estimate each product x 8

7 5 Minute Check Complete in your notebook. Estimate each product x 8 18 x 8 = 144

8 5 Minute Check Complete in your notebook. Multiply x 6

9 5 Minute Check Complete in your notebook. Multiply x decimal place x decimal place

10 5 Minute Check Complete in your notebook. Multiply x 13

11 5 Minute Check Complete in your notebook. Multiply x decimal place x 1 3 Don’t forget the zero decimal place

12 5 Minute Check Complete in your notebook. Multiply x 25

13 5 Minute Check Complete in your notebook. Multiply x decimal places x 25 Don’t forget the zero decimal places

14 Flashcards!

15 Lesson 3.2 and 3.4 Multiplying Decimals by Decimals
Wednesday, Oct 9 Lesson 3.2 and 3.4 Multiplying Decimals by Decimals

16 Multiplying Decimals by Decimals
Objective: To understand how to estimate and multiply decimals by decimals.

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?

18 Multiplying Decimals by Decimals
To multiply decimals, multiply as normal and then place the decimal point.

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.

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?

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

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

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)

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 Don’t forget to add the zero

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 decimal place x decimal place decimal places

26 Multiplying Decimals by Decimals
Find the product of 8.7 and x Is this a reasonable answer?

27 Multiplying Decimals by Decimals
Find the product of 8.7 and 2.8. Is this a reasonable answer? ≈ 27

28 Multiplying Decimals by Decimals
Find the product of .98 and 7.3 Estimate?

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?

30 Multiplying Decimals by Decimals
Find the product of .98 and x 7.3 Next?

31 Multiplying Decimals by Decimals
Find the product of .98 and x Don’t forget to add a zero Next?

32 Multiplying Decimals by Decimals
Find the product of .98 and decimal places x decimal place decimal places Is this a reasonable answer?

33 Multiplying Decimals by Decimals
Find the product of .98 and decimal places x decimal place decimal places Is this a reasonable answer? ≈ 7

34 Multiplying Decimals by Decimals
Find the product of 3.6 and Estimate?

35 Multiplying Decimals by Decimals
Find the product of 3.6 and x 0 = 0, so 3.6 x 0.05 ≈ 0

36 Multiplying Decimals by Decimals
Find the product of 3.6 and x 0 = 4, so 3.6 x 0.05 ≈ 0 Actual product?

37 Multiplying Decimals by Decimals
Find the product of 3.6 and decimal places x decimal place decimal places Is this a reasonable answer?

38 Multiplying Decimals by Decimals
Find the product of 3.6 and decimal places x decimal place decimal places Is this a reasonable answer? ≈ 0

39 Multiplying Decimals by Decimals
Find the product of and 7.2 Estimate?

40 Multiplying Decimals by Decimals
Find the product of and 7.2 Estimate? 0 x 7 = 0, so x 7.2 ≈ 0 Actual product?

41 Multiplying Decimals by Decimals
Find the product of and decimal places x decimal place decimal places Is this a reasonable answer?

42 Multiplying Decimals by Decimals
Find the product of and decimal places x decimal place decimal places Is this a reasonable answer? ≈ 0

43 Multiplying Decimals by Decimals
Find the product of 1.4 and Estimate?

44 Multiplying Decimals by Decimals
Find the product of 1.4 and Estimate? 1 x 0 = x ≈ 0 Actual product?

45 Multiplying Decimals by Decimals
Find the product of 1.4 and decimal places x decimal place decimal places Is this a reasonable answer?

46 Multiplying Decimals by Decimals
Find the product of 1.4 and decimal places x decimal place decimal places Is this a reasonable answer? ≈ 0

47 Multiplying Decimals by Decimals
Mr. Avery’s car can travel miles on one gallon of gas. If his gas tank holds 11.5 gallons, how far can he travel on one tank? Estimate?

48 Multiplying Decimals by Decimals
Mr. Avery’s car can travel 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 x 2 = = 336 Actual product?

49 Multiplying Decimals by Decimals
Mr. Avery’s car can travel miles on one gallon of gas. If his gas tank holds 11.5 gallons, how far can he travel on one tank? decimal places x decimal place decimal places Is this a reasonable answer?

50 Multiplying Decimals by Decimals
Mr. Avery’s car can travel miles on one gallon of gas. If his gas tank holds 11.5 gallons, how far can he travel on one tank? decimal places x decimal place decimal places Is this a reasonable answer? ≈ 336

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.

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 x 0.6 = 0.45

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


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