Question

8)7,5*(-0,01)*1/10*(-1 1/3)*1/40

Answer 1

Ответ:

$7.5 \times ( - 0.01) \times \frac{1}{10} \times ( - 1 \frac{1}{3} ) \times \frac{1}{40} = \\ 7.5 \times ( - 0.01) = - 0.075 \\ - 0.075 \times \frac{1}{10} = - 0.075 \times 0.1 = - 0.0075 \\ - 0.0075 \times ( - 1 \frac{1}{3} ) = - \frac{3}{400} \times ( - \frac{4}{3} ) = \frac{1}{100} \\ \frac{1}{100} \times \frac{1}{40} = \frac{1}{4000}$

Answer 2

Let's break down the expression step by step:

1. Start with the expression: 7,5 * (-0,01) * 1/10 * (-1 1/3) * 1/40.

2. Convert the decimal comma to a period (for standard notation): 7.5 * (-0.01) * 1/10 * (-1 1/3) * 1/40.

3. Calculate each part of the expression:

   • 7.5 * (-0.01) = -0.075
   • 1/10 = 0.1
   • (-1 1/3) is equal to -4/3 when expressed as a fraction.
   • 1/40 = 0.025

4. Now, multiply all the calculated values together:

   -0.075 * 0.1 * (-4/3) * 0.025 = -0.00025 * (-4/3) = 1/12000 * (-4/3)

5. To simplify the result, multiply the fractions:

   (1 * -4) / (12000 * 3) = -4 / 36000

6. Finally, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4:

   (-4 / 4) / (36000 / 4) = -1 / 9000

So, the value of the expression 7,5 * (-0,01) * 1/10 * (-1 1/3) * 1/40 is -1/9000.