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МатематикаВопрос:
1. Сравните выражения:
Ответ:
Решение:
Для сравнения выражений вычислим их значения.
| Выражение 1 | Значение 1 | Выражение 2 | Значение 2 | Сравнение |
| \( 3 \times (12 - 20 : 4) \) | \( 3 \times (12 - 5) = 3 \times 7 = 21 \) | \( 3 \times 12 - 20 : 4 \) | \( 36 - 5 = 31 \) | \( 21 < 31 \) |
| \( 36 : (6 + 3 \times 2) \) | \( 36 : (6 + 6) = 36 : 12 = 3 \) | \( (36 : 6 + 3) \times 2 \) | \( (6 + 3) \times 2 = 9 \times 2 = 18 \) | \( 3 < 18 \) |
| \( (63 + 27) : 9 : 2 \) | \( 90 : 9 : 2 = 10 : 2 = 5 \) | \( (63 + 27 : 9) : 2 \) | \( (63 + 3) : 2 = 66 : 2 = 33 \) | \( 5 < 33 \) |
| \( 38 + 36 + 14 \) | \( 74 + 14 = 88 \) | \( 38 + (36 + 14) \) | \( 38 + 50 = 88 \) | \( 88 = 88 \) |
| \( 73 - 17 + 29 \) | \( 56 + 29 = 85 \) | \( 73 - (17 + 29) \) | \( 73 - 46 = 27 \) | \( 85 > 27 \) |
| \( 72 : 6 \times 2 \) | \( 12 \times 2 = 24 \) | \( 72 : (6 \times 2) \) | \( 72 : 12 = 6 \) | \( 24 > 6 \) |
| \( 25 + 25 + 25 + 25 \) | \( 100 \) | \( 25 \times 4 \) | \( 100 \) | \( 100 = 100 \) |
| \( 19 + 19 + 19 + 19 + 19 \) | \( 95 \) | \( 19 \times 5 \) | \( 95 \) | \( 95 = 95 \) |
| \( 24 \times 3 \) | \( 72 \) | \( 22 + 23 + 24 \) | \( 69 \) | \( 72 > 69 \) |
| \( (81 - 39) : 7 \) | \( 42 : 7 = 6 \) | \( 100 : 10 \) | \( 10 \) | \( 6 < 10 \) |
| \( 28 : 7 + 14 : 7 \) | \( 4 + 2 = 6 \) | \( (48 + 22) : 7 \) | \( 70 : 7 = 10 \) | \( 6 < 10 \) |
| \( (17 + 13) \times 3 \) | \( 30 \times 3 = 90 \) | \( 17 \times 3 + 13 \times 3 \) | \( 51 + 39 = 90 \) | \( 90 = 90 \) |
| \( (48 + 24) : 6 \) | \( 72 : 6 = 12 \) | \( 42 : 6 + 24 : 4 \) | \( 7 + 6 = 13 \) | \( 12 < 13 \) |
| \( 25 \times 2 + 8 \times 2 \) | \( 50 + 16 = 66 \) | \( 33 \times 2 \) | \( 66 \) | \( 66 = 66 \) |
| \( 5 \times 7 + 26 \) | \( 35 + 26 = 61 \) | \( 5 \times 7 + 32 \) | \( 35 + 32 = 67 \) | \( 61 < 67 \) |
| \( (38 + 16) - 28 \) | \( 54 - 28 = 26 \) | \( (38 - 28) + 46 \) | \( 10 + 46 = 56 \) | \( 26 < 56 \) |
| \( 82 - (53 + 18) \) | \( 82 - 71 = 11 \) | \( 83 - 53 - 18 \) | \( 30 - 18 = 12 \) | \( 11 < 12 \) |
| \( 435 - 242 \) | \( 193 \) | \( 389 - 198 \) | \( 191 \) | \( 193 > 191 \) |
| \( 562 - 366 \) | \( 196 \) | \( 366 - 196 \) | \( 170 \) | \( 196 > 170 \) |
| \( (813 - 649) + 115 \) | \( 164 + 115 = 279 \) | \( (813 + 115) - 649 \) | \( 928 - 649 = 279 \) | \( 279 = 279 \) |
| \( 28 \times 42 : 7 \) | \( 1176 : 7 = 168 \) | \( 28 : 7 \times 42 \) | \( 4 \times 42 = 168 \) | \( 168 = 168 \) |
| \( 278 - (96 + 75) \) | \( 278 - 171 = 107 \) | \( 278 - 96 - 75 \) | \( 182 - 75 = 107 \) | \( 107 = 107 \) |
| \( 642 : 6 + 64 \) | \( 107 + 64 = 171 \) | \( 64 + 642 : 6 \) | \( 64 + 107 = 171 \) | \( 171 = 171 \) |
| \( 575 - 234 - 134 \) | \( 341 - 134 = 207 \) | \( 575 - (234 - 134) \) | \( 575 - 100 = 475 \) | \( 207 < 475 \) |
| \( (80 + 7) - 30 \) | \( 87 - 30 = 57 \) | \( (80 - 30) + 7 \) | \( 50 + 7 = 57 \) | \( 57 = 57 \) |
| \( 20 + (10 + 4) \) | \( 20 + 14 = 34 \) | \( (20 + 10) - 4 \) | \( 30 - 4 = 26 \) | \( 34 > 26 \) |
| \( 72 - 39 \) | \( 33 \) | \( 4 \times 6 \) | \( 24 \) | \( 33 > 24 \) |
| \( 17 \times 0 \) | \( 0 \) | \( 7 \times 6 \) | \( 42 \) | \( 0 < 42 \) |
| \( 80 : 40 \) | \( 2 \) | \( 56 + 28 \) | \( 84 \) | \( 2 < 84 \) |
| \( 48 : 8 \) | \( 6 \) | \( 70 - 23 \) | \( 47 \) | \( 6 < 47 \) |
| \( 85 + 85 \) | \( 170 \) | \( 85 \times 2 \) | \( 170 \) | \( 170 = 170 \) |
| \( 9 \times 5 - 9 \) | \( 45 - 9 = 36 \) | \( 9 \times 4 \) | \( 36 \) | \( 36 = 36 \) |
| \( 18 : 3 - 6 \) | \( 6 - 6 = 0 \) | \( 18 : 3 - 2 \) | \( 6 - 2 = 4 \) | \( 0 < 4 \) |
| \( 3 \times 9 + 3 \) | \( 27 + 3 = 30 \) | \( 3 \times 10 \) | \( 30 \) | \( 30 = 30 \) |
| \( 12 : 3 + 5 \) | \( 4 + 5 = 9 \) | \( 12 : 4 + 5 \) | \( 3 + 5 = 8 \) | \( 9 > 8 \) |
| \( 5 \times 8 - 5 \) | \( 40 - 5 = 35 \) | \( 5 \times 6 \) | \( 30 \) | \( 35 > 30 \) |
| \( 7 \times 2 \) | \( 14 \) | \( 7 \times 3 + 3 \) | \( 21 + 3 = 24 \) | \( 14 < 24 \) |
| \( 5 \times 7 - 7 \) | \( 35 - 7 = 28 \) | \( 5 \times 6 \) | \( 30 \) | \( 28 < 30 \) |
| \( 56 : 8 \) | \( 7 \) | \( 56 : 4 \) | \( 14 \) | \( 7 < 14 \) |
| \( 75 : 75 \) | \( 1 \) | \( 75 : 1 \) | \( 75 \) | \( 1 < 75 \) |
| \( 25 \times 4 \) | \( 100 \) | \( 25 + 4 \) | \( 29 \) | \( 100 > 29 \) |
| \( 27 \times 2 \) | \( 54 \) | \( 2 \times 27 \) | \( 54 \) | \( 54 = 54 \) |
| \( 536 - 29 \) | \( 507 \) | \( 536 - 39 \) | \( 497 \) | \( 507 > 497 \) |
| \( 721 - 56 \) | \( 665 \) | \( 621 - 56 \) | \( 565 \) | \( 665 > 565 \) |
| \( 395 \times 0 \) | \( 0 \) | \( 395 \times 1 \) | \( 395 \) | \( 0 < 395 \) |
| \( 413 : 1 \) | \( 413 \) | \( 314 : 1 \) | \( 314 \) | \( 413 > 314 \) |
| \( 6 \times 4 \) | \( 24 \) | \( 4 \times 7 - 7 \) | \( 28 - 7 = 21 \) | \( 24 > 21 \) |
| \( 42 + 6 \) | \( 48 \) | \( 42 + 8 \) | \( 50 \) | \( 48 < 50 \) |
| \( 38 - 4 \) | \( 34 \) | \( 36 - 6 \) | \( 30 \) | \( 34 > 30 \) |
| \( 78 - 9 \) | \( 69 \) | \( 79 - 8 \) | \( 71 \) | \( 69 < 71 \) |
| \( 96 - 18 \) | \( 78 \) | \( 96 + 18 \) | \( 114 \) | \( 78 < 114 \) |
| \( 225 : 5 \) | \( 45 \) | \( 225 : 25 \) | \( 9 \) | \( 45 > 9 \) |
