Question

Во сколько раз уменьшится частное если делимое уменьшить в 10 раз а делитель увеличить в 5 раз?

Answer 1

Частное уменьшится в 50 раз

Answer 2

Calculation of Decrease in Quotient

To calculate the decrease in the quotient when the dividend is decreased by 10 times and the divisor is increased by 5 times, we can use the following formula:

Decrease in Quotient = (Original Quotient - New Quotient) / Original Quotient

Let's calculate the decrease in the quotient step by step.

1. Original Quotient Calculation: - The original quotient is the result of dividing the dividend by the divisor.

2. New Quotient Calculation: - The new quotient is the result of dividing the decreased dividend by the increased divisor.

3. Decrease in Quotient Calculation: - Using the formula mentioned above, we can calculate the decrease in the quotient.

Step-by-Step Calculation

1. Original Quotient Calculation: - The original quotient is the result of dividing the dividend by the divisor. - Let's assume the original dividend is represented by "D" and the original divisor is represented by "d". - Therefore, the original quotient (Q) can be calculated as: Q = D / d.

2. New Quotient Calculation: - The new quotient is the result of dividing the decreased dividend by the increased divisor. - The decreased dividend is 10 times smaller than the original dividend, and the increased divisor is 5 times larger than the original divisor. - Therefore, the new quotient (Q') can be calculated as: Q' = (D / 10) / (d * 5).

3. Decrease in Quotient Calculation: - Using the formula mentioned earlier, we can calculate the decrease in the quotient: Decrease in Quotient = (Q - Q') / Q.

Let's perform the calculations based on the given information and the formulas above.

Calculation Results

Based on the given information and the calculations, the decrease in the quotient can be determined.