# Integer Foundations This batch has passed Schema, deduplication, source-snapshot, and independent-answer recomputation checks; it is still not marked as human-reviewed. This question bank has corresponding bilingual step-by-step derivations. Source candidate and English ai_candidate states are retained. AI review, finite computation and Lean formal proof are labelled separately. batch-20260919-integer-foundations · 2026-09-19 · 100 questions This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt. ## 1. Integer Membership Does 0.5 belong to the integer set Z? View answer and explanationNo 0.5 is not an integer; decimal notation must not be classified by appearance alone. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0001/) Integer · qf-integer-membership · candidate ## 2. Integer Membership Does -1 belong to the integer set Z? View answer and explanationYes -1 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0002/) Integer · qf-integer-membership · candidate ## 3. Integer Membership Does 2 belong to the integer set Z? View answer and explanationYes 2 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0003/) Integer · qf-integer-membership · candidate ## 4. Integer Membership Does -3 belong to the integer set Z? View answer and explanationYes -3 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0004/) Integer · qf-integer-membership · candidate ## 5. Integer Membership Does 4 belong to the integer set Z? View answer and explanationYes 4 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0005/) Integer · qf-integer-membership · candidate ## 6. Integer Membership Does 5.5 belong to the integer set Z? View answer and explanationNo 5.5 is not an integer; decimal notation must not be classified by appearance alone. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0006/) Integer · qf-integer-membership · candidate ## 7. Integer Membership Does 6 belong to the integer set Z? View answer and explanationYes 6 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0007/) Integer · qf-integer-membership · candidate ## 8. Integer Membership Does -7 belong to the integer set Z? View answer and explanationYes -7 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0008/) Integer · qf-integer-membership · candidate ## 9. Integer Membership Does 8 belong to the integer set Z? View answer and explanationYes 8 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0009/) Integer · qf-integer-membership · candidate ## 10. Integer Membership Does -9 belong to the integer set Z? View answer and explanationYes -9 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0010/) Integer · qf-integer-membership · candidate ## 11. Integer Membership Does 10.5 belong to the integer set Z? View answer and explanationNo 10.5 is not an integer; decimal notation must not be classified by appearance alone. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0011/) Integer · qf-integer-membership · candidate ## 12. Integer Membership Does -11 belong to the integer set Z? View answer and explanationYes -11 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0012/) Integer · qf-integer-membership · candidate ## 13. Integer Membership Does 12 belong to the integer set Z? View answer and explanationYes 12 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0013/) Integer · qf-integer-membership · candidate ## 14. Integer Membership Does -13 belong to the integer set Z? View answer and explanationYes -13 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0014/) Integer · qf-integer-membership · candidate ## 15. Integer Membership Does 14 belong to the integer set Z? View answer and explanationYes 14 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0015/) Integer · qf-integer-membership · candidate ## 16. Integer Membership Does 15.5 belong to the integer set Z? View answer and explanationNo 15.5 is not an integer; decimal notation must not be classified by appearance alone. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0016/) Integer · qf-integer-membership · candidate ## 17. Integer Membership Does 16 belong to the integer set Z? View answer and explanationYes 16 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0017/) Integer · qf-integer-membership · candidate ## 18. Integer Membership Does -17 belong to the integer set Z? View answer and explanationYes -17 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0018/) Integer · qf-integer-membership · candidate ## 19. Integer Membership Does 18 belong to the integer set Z? View answer and explanationYes 18 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0019/) Integer · qf-integer-membership · candidate ## 20. Integer Membership Does -19 belong to the integer set Z? View answer and explanationYes -19 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0020/) Integer · qf-integer-membership · candidate ## 21. Integer Membership Does 20.5 belong to the integer set Z? View answer and explanationNo 20.5 is not an integer; decimal notation must not be classified by appearance alone. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0021/) Integer · qf-integer-membership · candidate ## 22. Integer Membership Does -21 belong to the integer set Z? View answer and explanationYes -21 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0022/) Integer · qf-integer-membership · candidate ## 23. Integer Membership Does 22 belong to the integer set Z? View answer and explanationYes 22 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0023/) Integer · qf-integer-membership · candidate ## 24. Integer Membership Does -23 belong to the integer set Z? View answer and explanationYes -23 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0024/) Integer · qf-integer-membership · candidate ## 25. Integer Membership Does 24 belong to the integer set Z? View answer and explanationYes 24 is a positive integer, zero, or a negative integer, so it belongs to Z. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-membership-0025/) Integer · qf-integer-membership · candidate ## 26. Integer Sign Classification Relative to 0, is the integer 0 positive, zero, or negative? View answer and explanationZero Relative to 0, 0 is zero. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0001/) Integer · qf-integer-sign-classification · candidate ## 27. Integer Sign Classification Relative to 0, is the integer -1 positive, zero, or negative? View answer and explanationNegative Relative to 0, -1 is negative. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0002/) Integer · qf-integer-sign-classification · candidate ## 28. Integer Sign Classification Relative to 0, is the integer 2 positive, zero, or negative? View answer and explanationPositive Relative to 0, 2 is positive. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0003/) Integer · qf-integer-sign-classification · candidate ## 29. Integer Sign Classification Relative to 0, is the integer -3 positive, zero, or negative? View answer and explanationNegative Relative to 0, -3 is negative. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0004/) Integer · qf-integer-sign-classification · candidate ## 30. Integer Sign Classification Relative to 0, is the integer 4 positive, zero, or negative? View answer and explanationPositive Relative to 0, 4 is positive. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0005/) Integer · qf-integer-sign-classification · candidate ## 31. Integer Sign Classification Relative to 0, is the integer -5 positive, zero, or negative? View answer and explanationNegative Relative to 0, -5 is negative. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0006/) Integer · qf-integer-sign-classification · candidate ## 32. Integer Sign Classification Relative to 0, is the integer 6 positive, zero, or negative? View answer and explanationPositive Relative to 0, 6 is positive. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0007/) Integer · qf-integer-sign-classification · candidate ## 33. Integer Sign Classification Relative to 0, is the integer -7 positive, zero, or negative? View answer and explanationNegative Relative to 0, -7 is negative. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0008/) Integer · qf-integer-sign-classification · candidate ## 34. Integer Sign Classification Relative to 0, is the integer 8 positive, zero, or negative? View answer and explanationPositive Relative to 0, 8 is positive. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0009/) Integer · qf-integer-sign-classification · candidate ## 35. Integer Sign Classification Relative to 0, is the integer -9 positive, zero, or negative? View answer and explanationNegative Relative to 0, -9 is negative. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0010/) Integer · qf-integer-sign-classification · candidate ## 36. Integer Sign Classification Relative to 0, is the integer 10 positive, zero, or negative? View answer and explanationPositive Relative to 0, 10 is positive. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0011/) Integer · qf-integer-sign-classification · candidate ## 37. Integer Sign Classification Relative to 0, is the integer -11 positive, zero, or negative? View answer and explanationNegative Relative to 0, -11 is negative. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0012/) Integer · qf-integer-sign-classification · candidate ## 38. Integer Sign Classification Relative to 0, is the integer 12 positive, zero, or negative? View answer and explanationPositive Relative to 0, 12 is positive. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0013/) Integer · qf-integer-sign-classification · candidate ## 39. Integer Sign Classification Relative to 0, is the integer -13 positive, zero, or negative? View answer and explanationNegative Relative to 0, -13 is negative. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0014/) Integer · qf-integer-sign-classification · candidate ## 40. Integer Sign Classification Relative to 0, is the integer 14 positive, zero, or negative? View answer and explanationPositive Relative to 0, 14 is positive. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0015/) Integer · qf-integer-sign-classification · candidate ## 41. Integer Sign Classification Relative to 0, is the integer -15 positive, zero, or negative? View answer and explanationNegative Relative to 0, -15 is negative. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0016/) Integer · qf-integer-sign-classification · candidate ## 42. Integer Sign Classification Relative to 0, is the integer 16 positive, zero, or negative? View answer and explanationPositive Relative to 0, 16 is positive. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0017/) Integer · qf-integer-sign-classification · candidate ## 43. Integer Sign Classification Relative to 0, is the integer -17 positive, zero, or negative? View answer and explanationNegative Relative to 0, -17 is negative. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0018/) Integer · qf-integer-sign-classification · candidate ## 44. Integer Sign Classification Relative to 0, is the integer 18 positive, zero, or negative? View answer and explanationPositive Relative to 0, 18 is positive. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0019/) Integer · qf-integer-sign-classification · candidate ## 45. Integer Sign Classification Relative to 0, is the integer -19 positive, zero, or negative? View answer and explanationNegative Relative to 0, -19 is negative. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0020/) Integer · qf-integer-sign-classification · candidate ## 46. Integer Sign Classification Relative to 0, is the integer 20 positive, zero, or negative? View answer and explanationPositive Relative to 0, 20 is positive. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0021/) Integer · qf-integer-sign-classification · candidate ## 47. Integer Sign Classification Relative to 0, is the integer -21 positive, zero, or negative? View answer and explanationNegative Relative to 0, -21 is negative. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0022/) Integer · qf-integer-sign-classification · candidate ## 48. Integer Sign Classification Relative to 0, is the integer 22 positive, zero, or negative? View answer and explanationPositive Relative to 0, 22 is positive. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0023/) Integer · qf-integer-sign-classification · candidate ## 49. Integer Sign Classification Relative to 0, is the integer -23 positive, zero, or negative? View answer and explanationNegative Relative to 0, -23 is negative. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0024/) Integer · qf-integer-sign-classification · candidate ## 50. Integer Sign Classification Relative to 0, is the integer 24 positive, zero, or negative? View answer and explanationPositive Relative to 0, 24 is positive. Zero is neither positive nor negative. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-sign-classification-0025/) Integer · qf-integer-sign-classification · candidate ## 51. Additive Opposite What is the additive opposite of 0? View answer and explanation0 0+0=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0001/) Integer · qf-integer-opposite · candidate ## 52. Additive Opposite What is the additive opposite of -1? View answer and explanation1 -1+1=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0002/) Integer · qf-integer-opposite · candidate ## 53. Additive Opposite What is the additive opposite of 2? View answer and explanation-2 2+-2=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0003/) Integer · qf-integer-opposite · candidate ## 54. Additive Opposite What is the additive opposite of -3? View answer and explanation3 -3+3=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0004/) Integer · qf-integer-opposite · candidate ## 55. Additive Opposite What is the additive opposite of 4? View answer and explanation-4 4+-4=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0005/) Integer · qf-integer-opposite · candidate ## 56. Additive Opposite What is the additive opposite of -5? View answer and explanation5 -5+5=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0006/) Integer · qf-integer-opposite · candidate ## 57. Additive Opposite What is the additive opposite of 6? View answer and explanation-6 6+-6=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0007/) Integer · qf-integer-opposite · candidate ## 58. Additive Opposite What is the additive opposite of -7? View answer and explanation7 -7+7=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0008/) Integer · qf-integer-opposite · candidate ## 59. Additive Opposite What is the additive opposite of 8? View answer and explanation-8 8+-8=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0009/) Integer · qf-integer-opposite · candidate ## 60. Additive Opposite What is the additive opposite of -9? View answer and explanation9 -9+9=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0010/) Integer · qf-integer-opposite · candidate ## 61. Additive Opposite What is the additive opposite of 10? View answer and explanation-10 10+-10=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0011/) Integer · qf-integer-opposite · candidate ## 62. Additive Opposite What is the additive opposite of -11? View answer and explanation11 -11+11=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0012/) Integer · qf-integer-opposite · candidate ## 63. Additive Opposite What is the additive opposite of 12? View answer and explanation-12 12+-12=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0013/) Integer · qf-integer-opposite · candidate ## 64. Additive Opposite What is the additive opposite of -13? View answer and explanation13 -13+13=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0014/) Integer · qf-integer-opposite · candidate ## 65. Additive Opposite What is the additive opposite of 14? View answer and explanation-14 14+-14=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0015/) Integer · qf-integer-opposite · candidate ## 66. Additive Opposite What is the additive opposite of -15? View answer and explanation15 -15+15=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0016/) Integer · qf-integer-opposite · candidate ## 67. Additive Opposite What is the additive opposite of 16? View answer and explanation-16 16+-16=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0017/) Integer · qf-integer-opposite · candidate ## 68. Additive Opposite What is the additive opposite of -17? View answer and explanation17 -17+17=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0018/) Integer · qf-integer-opposite · candidate ## 69. Additive Opposite What is the additive opposite of 18? View answer and explanation-18 18+-18=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0019/) Integer · qf-integer-opposite · candidate ## 70. Additive Opposite What is the additive opposite of -19? View answer and explanation19 -19+19=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0020/) Integer · qf-integer-opposite · candidate ## 71. Additive Opposite What is the additive opposite of 20? View answer and explanation-20 20+-20=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0021/) Integer · qf-integer-opposite · candidate ## 72. Additive Opposite What is the additive opposite of -21? View answer and explanation21 -21+21=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0022/) Integer · qf-integer-opposite · candidate ## 73. Additive Opposite What is the additive opposite of 22? View answer and explanation-22 22+-22=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0023/) Integer · qf-integer-opposite · candidate ## 74. Additive Opposite What is the additive opposite of -23? View answer and explanation23 -23+23=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0024/) Integer · qf-integer-opposite · candidate ## 75. Additive Opposite What is the additive opposite of 24? View answer and explanation-24 24+-24=0. This is the additive opposite, not a reciprocal or absolute value. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-integer-opposite-0025/) Integer · qf-integer-opposite · candidate ## 76. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 0? View answer and explanation0 The zero point and positive direction are explicit, so 0 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0001/) Integer · qf-signed-context-integer · candidate ## 77. Integer in a Signed Context The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -1? View answer and explanation-1 The zero point and positive direction are explicit, so -1 floors directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0002/) Integer · qf-signed-context-integer · candidate ## 78. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 2? View answer and explanation2 The zero point and positive direction are explicit, so 2 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0003/) Integer · qf-signed-context-integer · candidate ## 79. Integer in a Signed Context The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -3? View answer and explanation-3 The zero point and positive direction are explicit, so -3 floors directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0004/) Integer · qf-signed-context-integer · candidate ## 80. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 4? View answer and explanation4 The zero point and positive direction are explicit, so 4 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0005/) Integer · qf-signed-context-integer · candidate ## 81. Integer in a Signed Context The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -5? View answer and explanation-5 The zero point and positive direction are explicit, so -5 floors directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0006/) Integer · qf-signed-context-integer · candidate ## 82. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 6? View answer and explanation6 The zero point and positive direction are explicit, so 6 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0007/) Integer · qf-signed-context-integer · candidate ## 83. Integer in a Signed Context The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -7? View answer and explanation-7 The zero point and positive direction are explicit, so -7 floors directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0008/) Integer · qf-signed-context-integer · candidate ## 84. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 8? View answer and explanation8 The zero point and positive direction are explicit, so 8 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0009/) Integer · qf-signed-context-integer · candidate ## 85. Integer in a Signed Context The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -9? View answer and explanation-9 The zero point and positive direction are explicit, so -9 floors directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0010/) Integer · qf-signed-context-integer · candidate ## 86. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 10? View answer and explanation10 The zero point and positive direction are explicit, so 10 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0011/) Integer · qf-signed-context-integer · candidate ## 87. Integer in a Signed Context The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -11? View answer and explanation-11 The zero point and positive direction are explicit, so -11 floors directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0012/) Integer · qf-signed-context-integer · candidate ## 88. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 12? View answer and explanation12 The zero point and positive direction are explicit, so 12 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0013/) Integer · qf-signed-context-integer · candidate ## 89. Integer in a Signed Context The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -13? View answer and explanation-13 The zero point and positive direction are explicit, so -13 floors directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0014/) Integer · qf-signed-context-integer · candidate ## 90. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 14? View answer and explanation14 The zero point and positive direction are explicit, so 14 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0015/) Integer · qf-signed-context-integer · candidate ## 91. Integer in a Signed Context The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -15? View answer and explanation-15 The zero point and positive direction are explicit, so -15 floors directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0016/) Integer · qf-signed-context-integer · candidate ## 92. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 16? View answer and explanation16 The zero point and positive direction are explicit, so 16 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0017/) Integer · qf-signed-context-integer · candidate ## 93. Integer in a Signed Context The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -17? View answer and explanation-17 The zero point and positive direction are explicit, so -17 floors directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0018/) Integer · qf-signed-context-integer · candidate ## 94. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 18? View answer and explanation18 The zero point and positive direction are explicit, so 18 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0019/) Integer · qf-signed-context-integer · candidate ## 95. Integer in a Signed Context The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -19? View answer and explanation-19 The zero point and positive direction are explicit, so -19 floors directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0020/) Integer · qf-signed-context-integer · candidate ## 96. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 20? View answer and explanation20 The zero point and positive direction are explicit, so 20 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0021/) Integer · qf-signed-context-integer · candidate ## 97. Integer in a Signed Context The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -21? View answer and explanation-21 The zero point and positive direction are explicit, so -21 floors directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0022/) Integer · qf-signed-context-integer · candidate ## 98. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 22? View answer and explanation22 The zero point and positive direction are explicit, so 22 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0023/) Integer · qf-signed-context-integer · candidate ## 99. Integer in a Signed Context The zero point is the entrance, the positive direction is upward, and the unit is floors. What signed integer displacement from zero is represented by position -23? View answer and explanation-23 The zero point and positive direction are explicit, so -23 floors directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0024/) Integer · qf-signed-context-integer · candidate ## 100. Integer in a Signed Context The zero point is the entrance, the positive direction is to the right, and the unit is metres. What signed integer displacement from zero is represented by position 24? View answer and explanation24 The zero point and positive direction are explicit, so 24 metres directly represents the signed displacement. No unit conversion is introduced. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260919-signed-context-integer-0025/) Integer · qf-signed-context-integer · candidate [Canonical question JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20260919-integer-foundations/questions.jsonl) · [English JSONL](https://ocme.evemisslab.com/data/i18n/questions/batch-20260919-integer-foundations.en.jsonl) · [Validation report](https://ocme.evemisslab.com/data/questions/batches/batch-20260919-integer-foundations/validation-report.json)