Question

(42) Школьник рассуждал при умножении так: «Чтобы умножить 10005600 на 3400 надо отбросить нули. Поэтому я буду умножать 156 на 34.» Прав ли школьник? Почему? Запиши все ответы.

Answer 1

Ответ:

неправильно тому що одна одброшать тільки ті нулі які в кінці.

Answer 2

Ответ:

нули можно отбросить только в конце,потом посчитать и добавить в ответ

Answer 3

The schoolboy's reasoning

The schoolboy's reasoning is as follows: "To multiply 10005600 by 3400, you need to discard the zeros. Therefore, I will multiply 156 by 34."

Is the schoolboy correct?

No, the schoolboy's reasoning is incorrect. When multiplying numbers, it is important to consider the place value of each digit. In the case of multiplying 10005600 by 3400, the zeros cannot simply be discarded.

Correct approach to multiplying 10005600 by 3400

To correctly multiply 10005600 by 3400, we need to consider the place value of each digit. Here is the correct approach:

1. Start by multiplying the ones digit of 10005600 (which is 0) by 3400. This will give us 0 as the ones digit of the product. 2. Next, multiply the tens digit of 10005600 (which is 0) by 3400. This will also give us 0 as the tens digit of the product. 3. Continue this process for each digit of 10005600, multiplying it by 3400 and placing the resulting digits in the appropriate place value positions. 4. Finally, add up all the partial products to get the final result.

Calculation:

   10005600
x      3400
-----------

To perform the multiplication, we start with the ones digit of 10005600:

   10005600
x      3400
-----------
         0

Next, we move to the tens digit:

   10005600
x      3400
-----------
        00

Continuing this process for each digit, we get:

   10005600
x      3400
-----------
       000    (0 x 3400)
      000     (0 x 34000)
  + 34005600  (156 x 3400)
-----------
  34015600

Therefore, the correct result of multiplying 10005600 by 3400 is 34015600.

Conclusion

The schoolboy's reasoning is incorrect. When multiplying numbers, it is important to consider the place value of each digit. Simply discarding the zeros is not a valid approach. The correct result of multiplying 10005600 by 3400 is 34015600.