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Multiplying by Powers of Ten

Multiplying by Powers of Ten. Bell Ringer. Multiply using a pattern. 4 x 3,000 36 x 2,000 4 x 6 x 10 4 32 x 8 x 10 3 24 x 60,000. Objective. Work together to understand the patterns in the placement of the decimal point when a number is multiplied by a power of ten to determine the rule.

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Multiplying by Powers of Ten

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  1. Multiplying by Powers of Ten

  2. Bell Ringer • Multiply using a pattern. • 4 x 3,000 • 36 x 2,000 • 4 x 6 x 104 • 32 x 8 x 103 • 24 x 60,000

  3. Objective • Work together to understand the patterns in the placement of the decimal point when a number is multiplied by a power of ten to determine the rule.

  4. Anchor Task • Directions: Work together to solve your problem. You may use any math tools you like, and then use the place value chart to represent your solution. • Group 1- Josh runs 0.53 miles each day. How many miles has he run after 10 days? How many miles after 100 days? • Group 2- Marcel drinks 0.78 liters of water every day. How many liters has he drunk after 10 days? How many liters after 100 days? • Group 3- Lou Lou eats 0.24 ounces of meat each day. How many ounces has she eaten after 10 days. How many ounces after 100 days? • Group 4- Selena swims 0.82 miles each day. How many miles has she swum after 10 days? How many miles after 100 days? • Group 5- Herbert studies math 0.69 hours each day. How many hours has he studied after 10 days? How many hours after 100 days? • Group 6- Marybeth exercises 0.95 hours every day. How many hours has she exercised after 10 days? After 100 days?

  5. Anchor Task What is 0.752 x 101? What is 0.752 x 102? What is 0.752 x 103?

  6. Guided Practice • Solve the following. Record your products without the place value chart. • 0.438 x 101 = • 0.438 x 102 = • 0.438 x 103 =

  7. Closure • Turn and share: What happens when you multiply a number by a power of 10? How does the decimal point change? Be specific.

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