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МатематикаВопрос:
Determine the result of the following mathematical expression:
Ответ:
The Problem:
The problem is to calculate the value of the expression: \( (20 - 22.05) \cdot 6.49 + 92 \)
Logic: To solve this, we will follow the order of operations (PEMDAS/BODMAS). First, we perform the subtraction inside the parentheses. Then, we multiply the result by 6.49. Finally, we add 92 to get the final answer.
Step-by-step solution:
- Step 1: Calculate the value inside the parentheses.
- Step 2: Multiply the result from Step 1 by 6.49.
- Multiply 2.05 by 6.49.
- 2.05 \( \times \) 6.49 = 13.3045
- Since we are multiplying a negative number by a positive number, the result is negative.
- Step 3: Add 92 to the result from Step 2.
\( 20 - 22.05 = -2.05 \)
\( -2.05 \cdot 6.49 \)
To perform this multiplication:
So, \( -2.05 \cdot 6.49 = -13.3045 \)
\( -13.3045 + 92 \)
This is equivalent to subtracting 13.3045 from 92:
\( 92 - 13.3045 = 78.6955 \)
Final Answer: The result of the expression is 78.6955.
Answer: 78.6955
