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Review: Multiplying by Powers of Ten

Review: Multiplying by Powers of Ten. Find the products for the following combinations. 5 x 4 =. 10 x 10 =. 100 x 10 =. 5 x 40 =. 1000 x 10 =. 5 x 400 =. What do you notice about the number of zeroes in the factors and in the product?.

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Review: Multiplying by Powers of Ten

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  1. Review: Multiplying by Powers of Ten Find the products for the following combinations. 5 x 4 = 10 x 10 = 100 x 10 = 5 x 40 = 1000 x 10 = 5 x 400 = What do you notice about the number of zeroes in the factors and in the product?

  2. So… once you find your Best Friend Basic Fact, then you just have to add the zeroes in the problem to the end of your answer? Let’s see: 8 x 2= 16 So- what is 8 x 20

  3. Think about this problem and how would you Go about solving it. Use all your strategies. Last summer, Mrs. Norcel entered a raffle and won 36 computers for the school! If she wants to divide them equally, how many will each class get?

  4. Oh no! I made a mistake! Mrs. Norcel was lucky enough to get 360 new computers to give out. She still is going to divide them equally into 9 class rooms. How many computers will the lucky classroom get now? Mrs. Norcel has 36 new computers to give out. If she wants to divide them equally into 9 classrooms, how many new computers will the lucky classrooms receive?

  5. Work these problems. Do you see your answer/product listed below? 8000 x 500 = 50 x 40 = 200 2,000 20,000 40,000 400,000 4,000,000

  6. Work these problems. Do you see your answer/product listed below? Be sure to underline the basic facts product, then add the zeroes! 8000 x 500 = 4,000,000 50 x 40 = 2,000 200 2,000 20,000 40,000 400,000 4,000,000

  7. # of zeroes + # of zeroes=product # of zeroes The Basic Fact is our “BF” best friend! 600 x 60 = 50 x 50 = 400 x 400 = 7000 x 70 = 3000 x 3 = 800 x 800 =

  8. Mrs. Norcel has 36 new computers to give out. If she wants to divide them equally into 9 classrooms, how many new computers will the lucky classrooms receive? …

  9. Oh no, I made a mistake, Mrs. Norcel was lucky enough to get 360 new computers to give out. She still is going to divide them equally into 9 classrooms. How many computers will the lucky classroom get now? Mrs. Norcel has 36 new computers to give out. If she wants to divide them equally into 9 classrooms, how many new computers will the lucky classrooms receive?

  10. Let’s keep track of our equations and ways to check on the small white board. Focus: Dividing by Multiples of 10 Problem: Suppose I have $100 that I want to share equally with 10 friends. How much money will each friend receive? How can you prove that your answer is correct?

  11. Problem: Suppose I have $1,000 that I want to share equally with 10 friends. How much money will each friend receive? How can you prove that your answer is correct?

  12. Problem: Suppose I have $10,000 that I want to share equally with 10 friends. How much money will each friend receive? How can you prove that your answer is correct?

  13. Questions to Discuss Look at all the problems we just completed. Talk about the pattern of “zeros” you see with the division problems. Now think back to the multiplication problems. How are the patterns similar and different? Can you “connect” this to what you know about FAMILY OF FACTS? Are the BASIC FACTS STILL YOUR BEST FRIEND WHEN DIVIDING?

  14. Let’s apply what we’ve learned. 1. 600 ÷ 2 = 7. 12,000 ÷ 300 = 2. 600 ÷ 20 = 8. 240,000 ÷ 3,000 = 3. 600 ÷ 200 = 9. 56,000 ÷ 80 = 4. 8,000 ÷ 4 = 10. 6,400,000 ÷ 800 = 5. 8,000 ÷ 40 = 11. 420,000 ÷ 6,000 = 6. 8,000 ÷ 400 = 12. 36,000,000 ÷ 40,000 =

  15. PRACTICE MAKES PERFECT!! Directions for the activity: Pull out a basic fact card. Write the basic fact and solve in the first column of the chart. One person rolls the dice. What ever amount you roll is the amount of zeros you add to the first number in the basic fact. 4. The next person rolls the other dice. What ever number you roll is the amount of zeros you add the other number in your problem. Write your new problem down and solve. Be sure to think about what you learn of multiples of 10.

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