(100-1)x(100-2^2)

less than a minute read Jun 16, 2024
(100-1)x(100-2^2)

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

  1. Calculate 2^2: 2 multiplied by itself is 4.
  2. Perform the subtractions:
    • 100 - 1 = 99
    • 100 - 4 = 96
  3. 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.

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