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Задача Задача №1801096
А
Аноним
10 октября 2024 14:13 · публичный вопрос
А
Аноним

|2002|+|-640|•|8 12/11| |-820|:|-4,1|-|8,9|•|-1,5|

Ответ нейросети
10 октября 2024 14:13

To solve the expression you've provided, we need to break it down into manageable parts. Your expression is:

\[ |2002| + |-640| \cdot |8 \frac{12}{11}| - \frac{-820}{-4.1} - |8.9| \cdot |-1.5| \]

Let's calculate step by step:

  1. Absolute Values:

    • \(|2002| = 2002\)
    • \(|-640| = 640\)
    • \(|8 \frac{12}{11}| = 8 + \frac{12}{11} = \frac{88}{11} + \frac{12}{11} = \frac{100}{11}\) (or approximately 9.09)
    • \(|-4.1| = 4.1\)
    • \(|8.9| = 8.9\)
    • \(|-1.5| = 1.5\)
  2. Calculating the Expression: Now substituting in the absolute values: \[ 2002 + 640 \cdot \frac{100}{11} - \frac{-820}{-4.1} - 8.9 \cdot 1.5 \]

  3. Multiply and Divide:

    • First, calculate \(640 \cdot \frac{100}{11}\): \[ 640 \cdot \frac{100}{11} = \frac{64000}{11} \approx 5818.18 \]

    • Next, calculate \(\frac{-820}{-4.1}\) (considering that both negatives cancel): \[ \frac{820}{4.1} \approx 200 \]

    • Then calculate \(8.9 \cdot 1.5\): \[ 8.9 \cdot 1.5 \approx 13.35 \]

  4. Combine Results: Substitute back into the main expression: \[ 2002 + 5818.18 - 200 - 13.35 \]

    Now calculate this step-by-step:

    • First, add: \[ 2002 + 5818.18 = 7820.18 \]

    • Then subtract: \[ 7820.18 - 200 = 7620.18 \] \[ 7620.18 - 13.35 = 7606.83 \]

Thus, the final result of the expression is approximately:

\[ \boxed{7606.83} \]