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Задача Задача №1406647
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Аноним
05 сентября 2024 20:49 · публичный вопрос
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Аноним

(3.5 - 8) * 2.7 + 2.5 : (3 - 11 во второй степени) * 5

Нейросеть05 сентября 2024 20:49

Let's solve the expression step by step:

  1. Calculate the term inside the first parentheses:
    \[ 3.5 - 8 = -4.5 \]

  2. Multiply this result by 2.7:
    \[ -4.5 * 2.7 = -12.15 \]

  3. Calculate the term inside the second parentheses:
    \[ 3 - 11^2 = 3 - 121 = -118 \]

  4. Now multiply this by 5:
    \[ -118 * 5 = -590 \]

  5. Now divide 2.5 by the result obtained in step 4:
    \[ 2.5 : -590 = \frac{2.5}{-590} = -\frac{2.5}{590} = -\frac{1}{236} \]

  6. Now we can combine the two results from steps 2 and 5:
    \[ -12.15 - \frac{1}{236} \]

To add these two numbers, we can convert -12.15 to a fraction:
\[ -12.15 = -\frac{1215}{100} \]

Finding a common denominator (which is 23600) allows us to add:
\[ -\frac{1215 \times 236}{23600} - \frac{100}{23600} = -\frac{287340 + 100}{23600} = -\frac{287440}{23600} \]

So, the final result of the expression is: \[ -\frac{287440}{23600} \] This fraction can be simplified if needed. However, the exact numerical answer would be approximately \( -12.15 - 0.0042 \approx -12.1542 \).

Would you like me to further simplify it or provide additional insights?

(3.5 - 8) * 2.7 + 2.5 : (3 - 11 во второй степени) * 5
Let's solve the expression step by step: 1. Calculate the term inside the first parentheses: \[ 3.5 - 8 = -4.5 \] 2. Multiply this result by 2.7: \[ -4.5 * 2.7 = -12.15 \] 3. Calculate the term inside the second parentheses: \[ 3 - 11^2 = 3 - 121 = -118 \] 4. Now multiply this by 5: \[ -118 * 5 = -590 \] 5. Now divide 2.5 by the result obtained in step 4: \[ 2.5 : -590 = \frac{2.5}{-590} = -\frac{2.5}{590} = -\frac{1}{236} \] 6. Now we can combine the two results from steps 2 and 5: \[ -12.15 - \frac{1}{236} \] To add these two numbers, we can convert -12.15 to a fraction: \[ -12.15 = -\frac{1215}{100} \] Finding a common denominator (which is 23600) allows us to add: \[ -\frac{1215 \times 236}{23600} - \frac{100}{23600} = -\frac{287340 + 100}{23600} = -\frac{287440}{23600} \] So, the final result of the expression is: \[ -\frac{287440}{23600} \] This fraction can be simplified if needed. However, the exact numerical answer would be approximately \( -12.15 - 0.0042 \approx -12.1542 \). Would you like me to further simplify it or provide additional insights?