Math Problem Statement

use all the numbers of 1,2,3,5 once in an equation to make the numbers 1-50

Solution

To create equations that result in numbers 1 through 50 using the numbers 1, 2, 3, and 5 exactly once, here are examples for each number:

  1. 1=1+2−3+5−41 = 1 + 2 - 3 + 5 - 4
  2. 2=1+2+3−5−42 = 1 + 2 + 3 - 5 - 4
  3. 3=1+2×(5−3)−43 = 1 + 2 \times (5 - 3) - 4
  4. 4=(5−3)×2+1−44 = (5 - 3) \times 2 + 1 - 4
  5. 5=5+3×(1−2)−45 = 5 + 3 \times (1 - 2) - 4
  6. 6=(5+1)×(3−2)−46 = (5 + 1) \times (3 - 2) - 4
  7. 7=5+2−1+4−37 = 5 + 2 - 1 + 4 - 3
  8. 8=2×3+5−1−48 = 2 \times 3 + 5 - 1 - 4
  9. 9=5+4−(3+2)−19 = 5 + 4 - (3 + 2) - 1
  10. 10=5×2+1−3−410 = 5 \times 2 + 1 - 3 - 4
  11. 11=5×2+3+1−411 = 5 \times 2 + 3 + 1 - 4
  12. 12=3×(5−2)+1−412 = 3 \times (5 - 2) + 1 - 4
  13. 13=5×3−2+1−413 = 5 \times 3 - 2 + 1 - 4
  14. 14=(5+1)×2+3−414 = (5 + 1) \times 2 + 3 - 4
  15. 15=5×3+1+2−415 = 5 \times 3 + 1 + 2 - 4
  16. 16=5×3+1+2−416 = 5 \times 3 + 1 + 2 - 4
  17. 17=3×(5+1)−2+4−417 = 3 \times (5 + 1) - 2 + 4 - 4
  18. 18=(5+4)×2+3−418 = (5 + 4) \times 2 + 3 - 4
  19. 19=3×5+2+1−419 = 3 \times 5 + 2 + 1 - 4
  20. 20=5×3+1+2−420 = 5 \times 3 + 1 + 2 - 4
  21. 21=3×5+2+1−421 = 3 \times 5 + 2 + 1 - 4
  22. 22=5×(3+2)−4−122 = 5 \times (3 + 2) - 4 - 1
  23. 23=5×4+3−2−4−123 = 5 \times 4 + 3 - 2 - 4 - 1
  24. 24=5×4+3−2+124 = 5 \times 4 + 3 - 2 + 1
  25. 25=5×525 = 5 \times 5
  26. 26=5×5+126 = 5 \times 5 + 1
  27. 27=5×5+2−327 = 5 \times 5 + 2 - 3
  28. 28=5×5+3−2−428 = 5 \times 5 + 3 - 2 - 4
  29. 29=5×5+3+129 = 5 \times 5 + 3 + 1
  30. 30=5×630 = 5 \times 6
  31. 31=5×6+131 = 5 \times 6 + 1
  32. 32=5×6+232 = 5 \times 6 + 2
  33. 33=5×6+333 = 5 \times 6 + 3
  34. 34=5×7−134 = 5 \times 7 - 1
  35. 35=5×735 = 5 \times 7
  36. 36=5×7+136 = 5 \times 7 + 1
  37. 37=5×7+237 = 5 \times 7 + 2
  38. 38=5×7+338 = 5 \times 7 + 3
  39. 39=5×7+439 = 5 \times 7 + 4
  40. 40=5×840 = 5 \times 8
  41. 41=5×8+141 = 5 \times 8 + 1
  42. 42=5×8+242 = 5 \times 8 + 2
  43. 43=5×8+343 = 5 \times 8 + 3
  44. 44=5×9−144 = 5 \times 9 - 1
  45. 45=5×945 = 5 \times 9
  46. 46=5×9+146 = 5 \times 9 + 1
  47. 47=5×9+247 = 5 \times 9 + 2
  48. 48=5×9+348 = 5 \times 9 + 3
  49. 49=5×9+449 = 5 \times 9 + 4
  50. 50=5×1050 = 5 \times 10

Would you like more details or explanations on any of these equations?

Here are five related questions:

  1. How can you create different equations using the same numbers to achieve the same result?
  2. What are other possible combinations to get the same results?
  3. How can the numbers 1, 2, 3, and 5 be used to make larger numbers?
  4. Are there any limits on the values that can be generated using these four numbers?
  5. Can these principles be applied to other sets of numbers?

Tip: When combining numbers in equations, always consider the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to ensure accurate results.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations

Formulas

Basic arithmetic operations

Theorems

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Suitable Grade Level

Grades 4-6

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