Задания для повторения за курс 6 класса. 1 тип. Действия с отрицательными числами. 1. Вычислите: (31 - 12) * (32 - 62).

1 тип. Действия с отрицательными числами: 1. (31 - 12) * (32 - 62) = 19 * (-30) = -570. 2. (13 - 44) * (27 - 47) = (-31) * (-20) = 620. 3. (87 - 68 - 22) : 3 = (-3) : 3 = -1. 4. (12 + 63 - 36) : (-13) = 39 : (-13) = -3. 5. 32 - 41 + 54 - 73 = -9 + 54 - 73 = 45 - 73 = -28. 6. 18 - 92 + 108 - 9 = -74 + 108 - 9 = 34 - 9 = 25. 7. 37 - 29 + 159 - 86 = 8 + 159 - 86 = 167 - 86 = 81. 8. -190 + 39 - 84 + 235 = -151 - 84 + 235 = -235 + 235 = 0. 9. (53 - 27 - 14) : (41 - 29) = 12 : 12 = 1. 10. (123 - 49 - 83) : (186 - 195) = (-9) : (-9) = 1. 2 тип. Действия с обыкновенными дробями: 1. (6/5 - 3/4) * 2/3 = (24/20 - 15/20) * 2/3 = 9/20 * 2/3 = 3/10. 2. (6/5 - 2/3) * 1/2 = (18/15 - 10/15) * 1/2 = 8/15 * 1/2 = 4/15. 3. 11/18 - 4/9 * 3/16 = 11/18 - (1*1)/(3*4) = 11/18 - 1/12 = 22/36 - 3/36 = 19/36. 4. 29/30 - 5/18 * 6/25 = 29/30 - (1*1)/(3*5) = 29/30 - 1/15 = 29/30 - 2/30 = 27/30 = 9/10. 5. 8/5 * (3/4 + 11/8) = 8/5 * (6/8 + 11/8) = 8/5 * 17/8 = 17/5 = 3,4. 6. 18/7 * (4/9 + 15/18) = 18/7 * (8/18 + 15/18) = 18/7 * 23/18 = 23/7 = 3 2/7. 7. 8/5 * 3/4 + 11/8 = 6/5 + 11/8 = 48/40 + 55/40 = 103/40 = 2 23/40. 8. 2 4/9 : (2/3 - 2/7) = 22/9 : (14/21 - 6/21) = 22/9 : 8/21 = 22/9 * 21/8 = 11/3 * 7/4 = 77/12 = 6 5/12. 9. 1 5/6 : (2/3 - 2/7) = 11/6 : 8/21 = 11/6 * 21/8 = 11/2 * 7/8 = 77/16 = 4 13/16. 10. 2/7 + 3/8 : 7/32 = 2/7 + 3/8 * 32/7 = 2/7 + 12/7 = 14/7 = 2. 11. 35/24 : 15/32 - 3 = 35/24 * 32/15 - 3 = (7*4)/(3*3) - 3 = 28/9 - 27/9 = 1/9. 12. 2 - 15/28 : 10/21 = 2 - 15/28 * 21/10 = 2 - (3*3)/(4*2) = 2 - 9/8 = 16/8 - 9/8 = 7/8. 13. 24 * 3/64 - 3/4 = (3*3)/8 - 3/4 = 9/8 - 6/8 = 3/8. 14. 18/35 : 12 + 1/10 = 18/35 * 1/12 + 1/10 = 3/70 + 7/70 = 10/70 = 1/7. 15. 3/16 * (4/5 + 8/15) = 3/16 * (12/15 + 8/15) = 3/16 * 20/15 = 3/16 * 4/3 = 1/4. 16. 27/40 : 18 + 9/16 = 27/40 * 1/18 + 9/16 = 3/80 + 45/80 = 48/80 = 3/5. 17. 1 - 4/7 : 16/21 = 1 - 4/7 * 21/16 = 1 - 3/4 = 1/4. 18. 11/8 - 15/16 : 25/28 = 11/8 - 15/16 * 28/25 = 11/8 - (3*7)/(4*5) = 11/8 - 21/20 = 55/40 - 42/40 = 13/40. 19. 35/39 : 13/42 - 1/6 = 35/39 * 42/13 - 1/6 = (35*14)/(13*13) - 1/6 = 490/169 - 1/6 = 2940/1014 - 169/1014 = 2771/1014. 20. 21/26 : 14/39 - 2 = 21/26 * 39/14 - 2 = (3*3)/(2*2) - 2 = 9/4 - 8/4 = 1/4.