Question

Вася разбил экран калькулятора, и теперь там видна только последняя цифра — 9. Последней операцией, которую делал Вася, было вычитание 126. Со злости он ещё 56 раз нажал на знак «=» (тем самым повторил Последнюю операцию). Сколько раз ещё Вася увидел на экране цифру 9, не считая самого первого, если известно, что число на калькуляторе после всех нажатий все ещё больше 0.​

Answer 1

Ответ:

56 ответ пошаговое объявление

Answer 2

Solving Vasya's Calculator Dilemma

To solve Vasya's calculator dilemma, we need to consider the operations he performed and the resulting number on the calculator's screen.

Vasya's last operation was subtraction of 126, and the last digit visible on the screen is 9. He then pressed the equals sign 56 more times, effectively repeating the last operation.

Let's denote the number on the calculator after Vasya's last operation as N. We know that N is greater than 0 after all the button presses.

Now, we need to find out how many times Vasya saw the digit 9 on the screen, excluding the first time.

Calculating the Occurrences of Digit 9

To calculate the occurrences of the digit 9 on the screen, we can use the fact that Vasya repeated the last operation multiple times.

Let's consider the last operation, which was subtraction of 126. When Vasya pressed the equals sign once, the result of the subtraction was displayed. If the last digit of the result was 9, it means the result was in the range of 90 to 99.

By pressing the equals sign repeatedly, Vasya effectively subtracted 126 multiple times from the previous result. Each time he pressed the equals sign, the last digit of the result was displayed.

To find out how many times Vasya saw the digit 9 on the screen, we need to determine how many times the last digit of the result was 9 when subtracting 126 from the previous result.

Conclusion

By analyzing the repeated subtraction of 126 and the resulting last digit on the calculator's screen, we can determine the number of times Vasya saw the digit 9, excluding the first time. This will provide the solution to Vasya's calculator dilemma.