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Mastering Multi-Digit Multiplication with Place Value and Properties of Operations

This lesson focuses on multiplying multi-digit whole numbers and multiples of 10 using place value patterns, the distributive property, and the associative property. Aligned with Common Core Standards (5.NBT.1 and 5.NBT.2), students will learn to recognize how digits in multi-digit numbers represent different values based on their position. The lesson includes multiple exercises to activate prior knowledge and develop fluency in multiplication with patterns related to zeros and decimal placement. Engage in practical examples to solidify understanding of these key concepts.

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Mastering Multi-Digit Multiplication with Place Value and Properties of Operations

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  1. Module 2 Lesson 1 • Multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties.

  2. Common Core Standards • 5.NBT.1  Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. • 5.NBT.2  Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote power of 10.

  3. I can multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties.. Learning Targets

  4. Activate Knowledge Find the product 3 × 10

  5. Activate Knowledge Find the product 3 × 100

  6. Activate Knowledge Find the product 3 × 1000

  7. Activate Knowledge Find the product 5 × 1000

  8. Activate Knowledge Find the product 0.005 × 1000

  9. Activate Knowledge Find the product 50 × 100

  10. Activate Knowledge Find the product 0.05 × 100

  11. Activate Knowledge Find the product 30 × 100

  12. Activate Knowledge Find the product 30 × 1000

  13. Activate Knowledge Find the product 32 × 1000

  14. Activate Knowledge Find the product 0.32 × 1000

  15. Activate Knowledge Find the product 52 × 100

  16. Activate Knowledge Find the product 5.2 × 100

  17. Activate Knowledge Find the product 4 × 10

  18. Activate Knowledge Find the product 0.4 × 10

  19. Activate Knowledge Find the product 0.45 × 1000

  20. Activate Knowledge Find the product 30.45 × 1000

  21. Activate Knowledge Find the product 7 × 100

  22. Activate Knowledge Find the product 72 × 100

  23. Activate Knowledge Find the product 7.002 × 100

  24. Activate Knowledge How many tens?

  25. Activate Knowledge How many ones?

  26. Activate Knowledge 4 tens = _____

  27. Activate Knowledge How many ten thousands?

  28. Activate Knowledge How many thousands, hundreds, tens, and ones?

  29. Activate Knowledge 4 ten thousands = ___________

  30. Activate Knowledge How many tens?

  31. Activate Knowledge How many ones?

  32. Activate Knowledge 3 tens = _____

  33. Activate Knowledge How many ten thousands?

  34. Activate Knowledge How many thousands, hundreds, tens, and ones?

  35. Activate Knowledge 6 ten thousands = ___________

  36. Activate Knowledge 53 tens = ________

  37. Activate Knowledge 36 ten thousands = ________

  38. Activate Knowledge 8 millions 24 ten thousands = ________

  39. Activate Knowledge 8 millions 17 hundred thousands = ________

  40. Activate Knowledge 1034 hundred thousands = ________

  41. Activate Knowledge Rounding 8,735

  42. Activate Knowledge Rounding 7,458

  43. Activate Knowledge The top surface of a desk has a length of 5.6 feet. The length is 4 times its width. What is the width of the desk?

  44. Learn 4 x 30 4 x 3 tens = ______ Problem 1

  45. Learn Write in standard form 12 tens = _______ Problem 1

  46. Learn 40 x 30 4 tens x 3 tens = ______ Problem 2

  47. Learn 4000 x 30 Problem 4

  48. Learn 40 x 300 Problem 3

  49. Learn 60 x 5 Problem 5

  50. Learn 60 x 50 Problem 6

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