Question

Выпиши значение разности,в которых вычитаемое больше числа в разряде единиц уменьшаемого.37-8 ,54-7,29-8,32-5,34-6,93-6,76-5,88-7.Выполнить проверку:почему при таком вычислении происходит переход через разряд?

Answer 1

37-8 =29 54-7=47 29-8=21 32-5=27 34-6=28 93-6=87 76-5=71 88-7=81 Могу объяснить только в некоторых случаях. 37-8;34-6;93-6;54-7; Представим, что из заданной единицы надо отобрать определенное число. 37-8. Чтобы вычесть из 7 8, нам не хватает еще 1 единицы, но у нас есть десятки, поэтому мы можем взять из десятки недоставаемою нам единицу. Получается занимаем из 3 1 и пишем над 7 цифру 10, потому что мы взяли именно десятку. 17-8=9. Это мы считаем в уме. А так : 37 - 8 = (17-8=9)29. А оставшиеся десятки естественно прибавляем.

Answer 2

Difference between a number and its units digit

The difference between a number and its units digit refers to the result obtained when subtracting a number from another number, where the subtrahend (the number being subtracted) has a larger units digit than the minuend (the number being subtracted from).

Let's calculate the differences for the given examples:

1. 37 - 8 = 29 2. 54 - 7 = 47 3. 29 - 8 = 21 4. 32 - 5 = 27 5. 34 - 6 = 28 6. 93 - 6 = 87 7. 76 - 5 = 71 8. 88 - 7 = 81

Explanation for the carry-over

When performing subtraction, a carry-over occurs when subtracting a larger digit from a smaller digit in the same place value. This results in borrowing from the next higher place value.

In the given examples, the carry-over occurs when subtracting the units digit from the tens digit. For example, in the calculation 37 - 8 = 29, the carry-over happens when subtracting 8 from 7. Since 8 is larger than 7, we need to borrow from the tens digit, resulting in a carry-over of 1. This carry-over is then added to the difference of the tens digits, which is 3, resulting in a final difference of 29.

The same process applies to the other examples. The carry-over occurs when subtracting the units digit from the tens digit, and the borrowed value is added to the difference of the tens digits.

This carry-over phenomenon happens because the number system we use, called the decimal system, is based on powers of 10. Each place value represents a power of 10, and when subtracting, we need to borrow from the next higher place value to ensure a correct result.

Conclusion

In summary, the given examples involve subtracting a number from another number where the subtrahend has a larger units digit than the minuend. This results in a carry-over when subtracting the units digit from the tens digit, which is necessary to maintain the integrity of the decimal system.