Question

как изменится произведение двух десятичных дробей ,если в одном множителе перенести запятую вправо через три цифры,а в другом-влево через одну цифру?

Answer 1

если в одном множителе перенести запятую вправо через три цифры, то множитель, а значит и произведение увеличится в 1000 раз

 

а в другом-влево через одну цифру, то множитель, а значит и произведение уменьшится в 10 раз

 

значит если в одном множителе перенести запятую вправо через три цифры,а в другом-влево через одну цифру, то произведение увеличится в 1000:10=100 раз

ответ: увеличится в 100 раз

Answer 2

Changing the Position of Decimal Points in Decimal Multiplication

When multiplying two decimal numbers, if you move the decimal point to the right in one factor by three digits and to the left in the other factor by one digit, the product will change accordingly.

Effect of Moving the Decimal Point to the Right by Three Digits Moving the decimal point to the right by three digits in a decimal number increases the value of the number by a factor of 1000.

Effect of Moving the Decimal Point to the Left by One Digit Moving the decimal point to the left by one digit in a decimal number decreases the value of the number by a factor of 10.

Resulting Change in the Product

When you multiply two decimal numbers and change the position of the decimal points as described, the product will be affected as follows:

- The factor with the decimal point moved to the right by three digits will increase in value by a factor of 1000. - The factor with the decimal point moved to the left by one digit will decrease in value by a factor of 10.

Therefore, the overall effect on the product will be a net increase in value due to the significant increase in one factor and the relatively smaller decrease in the other factor.

Example Calculation For example, if we have the decimal numbers 5.678 and 3.456, and we move the decimal point in 5.678 to the right by three digits to get 5678, and the decimal point in 3.456 to the left by one digit to get 0.3456, the product of these two adjusted numbers will be significantly larger than the original product of 5.678 and 3.456.

This demonstrates that changing the position of the decimal points in the factors of a decimal multiplication can result in a significant change in the product.

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