Vocabulary for Multiplicative Comparisons

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by Toni Lehman2 views·Updated Sep 14, 2020
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  1. Yeah. So today we're gonna be trying something a little
  2. bit different.
  3. We're going to be looking at the puzzle pieces of
  4. our next unit in the vocabulary and seeing if we
  5. can't build some understanding.
  6. So first, we're gonna look at the vocabulary from all
  7. the clicking of comparisons because, honestly, everything is easier when
  8. you can put the pieces together who we are.
  9. The factors are probably the place to start their numbers,
  10. that you multiply together to get an answer and then
  11. to connect those ideas.
  12. If I had the number eight, the factors are numbers
  13. like one times eight that get me up to eight.
  14. So one is a factor.
  15. Eight is a factor.
  16. But another path I could take to get to eight
  17. is two times 42 and four are both factors.
  18. Remember that factors are lower than the number the next
  19. word is Multiples and multiples are greater than the number
  20. itself. And I start at the number that I'm talking
  21. about. And then I go up like skip counting.
  22. So 8 16 24 32 I could keep on going,
  23. and that would take me to the multiples of eight
  24. as far as I wanted to go, I could go
  25. up to infinity.
  26. So not all numbers have factors.
  27. Some numbers air called prime and their prime if they're
  28. Onley, factors air one in themselves.
  29. So if you think about the number seven, I can't
  30. multiply two times anything or three times anything.
  31. The only way I could get to the number seven
  32. is one time seven something was 17 one time 17
  33. is the only path and 13.
  34. But you know, even a big number like 43.
  35. The only way I could get to 43 is one
  36. times 43.
  37. And there are a lot of numbers that air much
  38. larger than these that are also considered prime because they
  39. have no path to get to them other than multiplying
  40. themselves by one.
  41. So the rest of the numbers, if they're not prime,
  42. we call them composite, which means they're made up of
  43. a combination of factors.
  44. Consider the number 36.
  45. I could multiply four times nine.
  46. I could multiply one times 36.
  47. I could multiply two times 18.
  48. I could even multiply three times 12 and I haven't
  49. given you all of the pairs.
  50. The factor pairs that would lead to 36.
  51. So the bottom line is a multiplicity of comparison is
  52. a way that we show mathematical relationship using multiplying, or
  53. we'll have some additive comparisons where we add to compare
  54. things in groups.
  55. So that is really the content for today.
  56. And I'm glad you were here for vocabulary of multiplication
  57. ve comparisons.