Lesson plan

10. Solve problems by multiplying and dividing decimals by powers of ten (A)

teaches Common Core State Standards CCSS.Math.Content.5.NBT.A.2 http://corestandards.org/Math/Content/5/NBT/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
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Lesson objective: Apply the knowledge of the pattern when multiplying a value by 10: When you multiply a number by 10, the digits of the number shift one place value to the left. When you multiply a value by a power of ten, the exponent indicates how many places to the left the digits shift.

This lesson provides an opportunity for students to apply their knowledge and understanding of the shift of the digits to a mathematical situation. Students are asked to make sense of distances (expressed using exponents) from Earth of several celestial bodies. 

Key Concept students will use: Multiplying a value by 10 or a power of ten shifts the position of that value's digits to the left.

Skills students will use:

  • Multiplication of a number by 10 and powers of ten: the digits of the number shift the place values to the left.

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they discern the patterns in multiplication of a number by the powers of 10. Students engage in Mathematical Practice 6 (Attend to precision) as they explain the relationship between the exponent and the base and the exponential factor in a multiplication equation.  

Key vocabulary:

  • base
  • digit
  • exponent
  • power of 10
  • product
  • value 

Special materials needed:

  • place value mat/chart
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