Evaluating a Complex Mathematical Expression
In this article, we will evaluate a complex mathematical expression involving multiple operations and numbers. The expression is:
7.14 × 5.5 + 7.14 × 2.5 + 3.57 × 2 + 7.14
To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Parentheses: None
- Exponents: None
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Step 1: Evaluate the Multiplications
7.14 × 5.5
= 39.27
7.14 × 2.5
= 17.85
3.57 × 2
= 7.14
Step 2: Evaluate the Additions
Now, we add the results of the multiplications:
39.27 + 17.85 = 57.12
Then, add the result of the last multiplication:
57.12 + 7.14 = 64.26
Finally, add the last number:
64.26 + 7.14 = 71.40
Therefore, the final result of the expression is:
71.40
