Рекомендованные задания для повторения за курс 6 класса. 1 тип. Действия с отрицательными числами.

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 = -151 - 86 = -237 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 * 1) / (10 * 1) = 3/10 2. (6/5 - 3/3) * 1/2 = (6/5 - 1) * 1/2 = 1/5 * 1/2 = 1/10 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 = (2 * 3) / (5 * 1) + 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 = 154/63 - 24/63 = 130/63 = 2 4/63 9. 1 5/6 : (2/3 - 2/7) = 11/6 : (14/21 - 6/21) = 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 + (3 * 4) / 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