256. > или < ? 1) 7 ⋅ 1000 + 6 ⋅ 100 + 4 ... 7 ⋅ 1000 + 5 ⋅ 100 + 4 2) 8 ⋅ 1000 + 8 ⋅ 100 + 8 ... 8 ⋅ 1000 + 9 ⋅ 100 + 4 3) 9 ⋅ 1000 + 6 ⋅ 100 + 8 ... 6 ⋅ 1000 + 9 ⋅ 100 + 4 4) 6 ⋅ 1000 + 8 ⋅ 100 + 3 ... 6 ⋅ 1000 + 5 ⋅ 100 + 3 5) 5 ⋅ 1000 + 3 ⋅ 100 + 9 ... 8 ⋅ 1000 + 9 ⋅ 100 + 4

Разбираемся:

Чтобы решить, какой знак поставить, сначала нужно вычислить значения выражений с обеих сторон, а затем сравнить результаты.

• 1) 7 ⋅ 1000 + 6 ⋅ 100 + 4 = 7000 + 600 + 4 = 7604
  7 ⋅ 1000 + 5 ⋅ 100 + 4 = 7000 + 500 + 4 = 7504
  7604 > 7504
• 2) 8 ⋅ 1000 + 8 ⋅ 100 + 8 = 8000 + 800 + 8 = 8808
  8 ⋅ 1000 + 9 ⋅ 100 + 4 = 8000 + 900 + 4 = 8904
  8808 < 8904
• 3) 9 ⋅ 1000 + 6 ⋅ 100 + 8 = 9000 + 600 + 8 = 9608
  6 ⋅ 1000 + 9 ⋅ 100 + 4 = 6000 + 900 + 4 = 6904
  9608 > 6904
• 4) 6 ⋅ 1000 + 8 ⋅ 100 + 3 = 6000 + 800 + 3 = 6803
  6 ⋅ 1000 + 5 ⋅ 100 + 3 = 6000 + 500 + 3 = 6503
  6803 > 6503
• 5) 5 ⋅ 1000 + 3 ⋅ 100 + 9 = 5000 + 300 + 9 = 5309
  8 ⋅ 1000 + 9 ⋅ 100 + 4 = 8000 + 900 + 4 = 8904
  5309 < 8904

Ответ:

• 1) >
• 2) <
• 3) >
• 4) >
• 5) <