Exploring the Expression (100-1) x (100-2^2)
This article will delve into the mathematical expression (100-1) x (100-2^2), breaking down its components and simplifying it to arrive at a final answer.
Understanding the Components
The expression involves basic arithmetic operations:
- Subtraction: We subtract 1 from 100 and 2^2 from 100.
- Exponentiation: We calculate 2^2 (2 multiplied by itself).
- Multiplication: We multiply the results of the subtractions.
Step-by-Step Calculation
- Calculate 2^2: 2 multiplied by itself is 4.
- Perform the subtractions:
- 100 - 1 = 99
- 100 - 4 = 96
- Multiply the results: 99 x 96 = 9504
Conclusion
Therefore, the simplified value of the expression (100-1) x (100-2^2) is 9504. This calculation demonstrates the order of operations in mathematics, where exponentiation is performed before subtraction, and multiplication is performed last.