Zeroing in on Mixed Numbers: Understanding Differences

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Explore the concept of mixed numbers involving wholes, halves, and fourths by calculating the differences between them. Dive into a series of visual representations showing the progression of finding differences until reaching zero. Engage in a math puzzle that challenges your understanding of fractions and arithmetic.

  • Mixed Numbers
  • Differences
  • Wholes
  • Halves
  • Fourths

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Presentation Transcript


  1. Diffies: mixed numbers wholes, halves, and fourths Zeroing in on the difference between two numbers Larry Francis revised 6/3/2022

  2. Start with a blank diffy

  3. 51 23 8 2 Roll a ones and an eighths family die (1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 7/8, 1) to get mixed numbers for the corners 31 41 4 2

  4. 51 23 31 8 8 2 Find the differences and put them in between. 7 8 1 31 11 41 4 4 2

  5. 51 23 31 8 8 2 Find the next differences and put them in between. 21 4 21 8 7 8 1 3 8 1 4 31 11 41 4 4 2

  6. 51 23 31 8 8 2 Find the next differences and put them in between. 1 8 4 21 21 8 7 8 17 17 1 8 8 3 8 1 4 1 8 31 11 41 4 4 2

  7. 51 23 31 8 8 2 Find the next differences and put them in between. 1 8 4 13 4 21 21 8 13 4 7 8 17 17 1 8 8 13 13 4 4 3 8 1 4 1 8 31 11 41 4 4 2

  8. 51 23 31 8 8 2 Find the next differences and put them in between. 1 8 4 13 4 the differences down to zero, 21 When you have worked all 21 8 13 0 4 7 8 17 17 0 0 1 8 8 13 13 0 you re done! 4 4 3 8 1 4 1 8 31 11 41 4 4 2

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