ГДЗ по Математике 5 Класс Номер 369 Дорофеев, Шарыгин, Суворова — Подробные Ответы

Сравните значения выражений:
а) 11 ⋅ 2⁴ и 8 ⋅ 11;
б) 17 ⋅ 15 и 3³ ⋅ 15;
в) 10² ⋅ 12 и 12² ⋅ 10;
г) 5² ⋅ 7 ⋅ 11 и 125 ⋅ 11.

а)

• 11 ⋅ 2^4 = 176
• 8 ⋅ 11 = 88
• 176 > 88

б)

• 17 ⋅ 15 = 255
• 3^3 ⋅ 15 = 405
• 255 < 405

в)

• 10^2 ⋅ 12 = 1200
• 12^2 ⋅ 10 = 1440
• 1200 < 1440

г)

• 5^2 ⋅ 7 ⋅ 11 = 1925
• 125 ⋅ 11 = 1375
• 1925 > 1375

а) 11 ⋅ 2^4 и 8 ⋅ 11

1) Вычислим 11 ⋅ 2^4:

• 2^4 = 16
• 11 ⋅ 16 = 176

2) Вычислим 8 ⋅ 11:

• 8 ⋅ 11 = 88

Сравнение: 176 больше, чем 88.

б) 17 ⋅ 15 и 3^3 ⋅ 15

1) Вычислим 17 ⋅ 15:

• 17 ⋅ 15 = 255

2) Вычислим 3^3 ⋅ 15:

• 3^3 = 27
• 27 ⋅ 15 = 405

Сравнение: 255 меньше, чем 405.

в) 10^2 ⋅ 12 и 12^2 ⋅ 10

1) Вычислим 10^2 ⋅ 12:

• 10^2 = 100
• 100 ⋅ 12 = 1200

2) Вычислим 12^2 ⋅ 10:

• 12^2 = 144
• 144 ⋅ 10 = 1440

Сравнение: 1200 меньше, чем 1440.

г) 5^2 ⋅ 7 ⋅ 11 и 125 ⋅ 11

1) Вычислим 5^2 ⋅ 7 ⋅ 11:

• 5^2 = 25
• 25 ⋅ 7 = 175
• 175 ⋅ 11 = 1925

2) Вычислим 125 ⋅ 11:

• 125 ⋅ 11 = 1375

Сравнение: 1925 больше, чем 1375.