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Задача Задача №2264159
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Аноним
17 ноября 2024 14:09 · публичный вопрос
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Аноним

2*2*3*4*5*6*7*8*9*10%

Нейросеть17 ноября 2024 14:09

To solve the expression \( 2 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10 \) and then find the result modulo \( 100 \) (as indicated by the percentage), we can perform the following steps:

  1. Calculate the product:

    \( 2 \times 2 = 4 \)

    \( 4 \times 3 = 12 \)

    \( 12 \times 4 = 48 \)

    \( 48 \times 5 = 240 \)

    \( 240 \times 6 = 1440 \)

    \( 1440 \times 7 = 10080 \)

    \( 10080 \times 8 = 80640 \)

    \( 80640 \times 9 = 725760 \)

    \( 725760 \times 10 = 7257600 \)

  2. Now, calculate \( 7257600 \mod 100 \):

    The last two digits of \( 7257600 \) are \( 00 \), so:

    \( 7257600 \mod 100 = 0 \)

Therefore, the final result of \( 2 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10 \mod 100 \) is \( \boxed{0} \).

2*2*3*4*5*6*7*8*9*10%
To solve the expression \( 2 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10 \) and then find the result modulo \( 100 \) (as indicated by the percentage), we can perform the following steps: 1. Calculate the product: \( 2 \times 2 = 4 \) \( 4 \times 3 = 12 \) \( 12 \times 4 = 48 \) \( 48 \times 5 = 240 \) \( 240 \times 6 = 1440 \) \( 1440 \times 7 = 10080 \) \( 10080 \times 8 = 80640 \) \( 80640 \times 9 = 725760 \) \( 725760 \times 10 = 7257600 \) 2. Now, calculate \( 7257600 \mod 100 \): The last two digits of \( 7257600 \) are \( 00 \), so: \( 7257600 \mod 100 = 0 \) Therefore, the final result of \( 2 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10 \mod 100 \) is \( \boxed{0} \).