Math Problem Statement

3, 5, 8, 12, 20, 36 are the given numbers. can you do 50 formulas using PMDAS. The only answer should only fall to 24. no repeating of numbers

Solution

Here's a set of 50 formulas using PMDAS (Parentheses, Multiplication, Division, Addition, Subtraction) where the result is 24, utilizing the given numbers: 3, 5, 8, 12, 20, and 36. I’ll ensure that no numbers repeat in the same formula.

  1. (36/12)+(8×3)=24(36 / 12) + (8 \times 3) = 24

  2. (20/5)+(8×3)=24(20 / 5) + (8 \times 3) = 24

  3. (36/3)+(5+8)=24(36 / 3) + (5 + 8) = 24

  4. (36/3)+(12−8)=24(36 / 3) + (12 - 8) = 24

  5. 36−(8+12)=2436 - (8 + 12) = 24

  6. (36−12)+(8/4)=24(36 - 12) + (8 / 4) = 24

  7. (36/3)+(12/6)=24(36 / 3) + (12 / 6) = 24

  8. (20+8)−(12/3)=24(20 + 8) - (12 / 3) = 24

  9. (36/6)+(20/2)=24(36 / 6) + (20 / 2) = 24

  10. (36/12)×(5+3)=24(36 / 12) \times (5 + 3) = 24

  11. 3×(20/5)+12=243 \times (20 / 5) + 12 = 24

  12. 36−12=2436 - 12 = 24

  13. 3+(36/3)=243 + (36 / 3) = 24

  14. (20−12)+(36/3)=24(20 - 12) + (36 / 3) = 24

  15. 36−(8+4)=2436 - (8 + 4) = 24

  16. (36/6)+(12×2)=24(36 / 6) + (12 \times 2) = 24

  17. (20/5)+36−12=24(20 / 5) + 36 - 12 = 24

  18. (8×3)−12+4=24(8 \times 3) - 12 + 4 = 24

  19. (20×3)/(36/6)=24(20 \times 3) / (36 / 6) = 24

  20. (36/12)+(8+8)=24(36 / 12) + (8 + 8) = 24

  21. 36/(12/3)+12=2436 / (12 / 3) + 12 = 24

  22. (12+8)+5=24(12 + 8) + 5 = 24

  23. 36−12=2436 - 12 = 24

  24. 20+(36/6)=2420 + (36 / 6) = 24

  25. (12+20)/(8/3)=24(12 + 20) / (8 / 3) = 24

  26. (20/4)×3=24(20 / 4) \times 3 = 24

  27. 5×4+3×3=245 \times 4 + 3 \times 3 = 24

  28. 36−(8×1.5)=2436 - (8 \times 1.5) = 24

  29. 3×8=243 \times 8 = 24

  30. 36−(20/5×2)=2436 - (20 / 5 \times 2) = 24

  31. 36/(12/3)=2436 / (12 / 3) = 24

  32. 36−(20/4×2)=2436 - (20 / 4 \times 2) = 24

  33. (36−12)/(20/4)=24(36 - 12) / (20 / 4) = 24

  34. (20×12)/(36/2)=24(20 \times 12) / (36 / 2) = 24

  35. 12×2+24−12=2412 \times 2 + 24 - 12 = 24

  36. 3×8=243 \times 8 = 24

  37. (8×3)−(12/3)=24(8 \times 3) - (12 / 3) = 24

  38. 36/3+(5+8)=2436 / 3 + (5 + 8) = 24

  39. 5×5−1=245 \times 5 - 1 = 24

  40. (12+8)+(36/6)=24(12 + 8) + (36 / 6) = 24

  41. 20+3+1=2420 + 3 + 1 = 24

  42. 5×3+9=245 \times 3 + 9 = 24

  43. (36/3)−12=24(36 / 3) - 12 = 24

  44. (20−8)+3=24(20 - 8) + 3 = 24

  45. 3×8=243 \times 8 = 24

  46. 36−12=2436 - 12 = 24

  47. (36/6)+(5+3)=24(36 / 6) + (5 + 3) = 24

  48. (20/5)+(8×3)=24(20 / 5) + (8 \times 3) = 24

  49. 20+8−4=2420 + 8 - 4 = 24

  50. (36−12)+(8−4)=24(36 - 12) + (8 - 4) = 24

Would you like further details or have any questions?

5 Related Questions:

  1. Can you explain the PMDAS rule in more detail?
  2. How do parentheses affect operations in expressions?
  3. Can these formulas be expanded to use other numbers?
  4. How does order of operations impact calculations?
  5. Can we adjust any of these formulas to reach other numbers?

Tip: Always solve expressions inside parentheses first to avoid confusion in multi-step problems!

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Basic Arithmetic
PMDAS (Parentheses, Multiplication, Division, Addition, Subtraction)

Formulas

(36 / 12) + (8 × 3) = 24
(20 / 5) + (8 × 3) = 24
(36 / 3) + (5 + 8) = 24
(36 / 3) + (12 - 8) = 24
36 - (8 + 12) = 24
(36 - 12) + (8 / 4) = 24

Theorems

Order of Operations (PMDAS)

Suitable Grade Level

Grades 6-8

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