-x-(-9-x-11-%E2%80%93-0-9-x-100-%E2%80%93-0-9-x-10).jpeg "(125 X 0 75 + 125 X 25 ) X ( 9 X 11 – 0 9 X 100 – 0 9 X 10)")
Evaluating Mathematical Expressions: A Step-by-Step Guide
In this article, we will evaluate a complex mathematical expression involving multiple operations and variables. The expression is:
(125 x 0.75 + 125 x 25) x (9 x 11 – 0.9 x 100 – 0.9 x 10)
To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Evaluate the expressions inside the parentheses.
- Multiply the two expressions.
Evaluating the First Expression
125 x 0.75 + 125 x 25
To evaluate this expression, we need to perform the multiplications first:
- 125 x 0.75 = 93.75
- 125 x 25 = 3125
Then, add the two results:
93.75 + 3125 = 3218.75
Evaluating the Second Expression
9 x 11 – 0.9 x 100 – 0.9 x 10
Again, we need to perform the multiplications first:
- 9 x 11 = 99
- 0.9 x 100 = 90
- 0.9 x 10 = 9
Then, subtract the two results from the first result:
99 - 90 - 9 = 0
Final Evaluation
Now, we can multiply the two expressions:
3218.75 x 0 = 0
The final result of the expression is 0.
In conclusion, by following the order of operations and evaluating each expression step-by-step, we can simplify complex mathematical expressions and arrive at the correct solution.
