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(1-1/1+2)x(1-1/1+2+3)

2 min read Jun 16, 2024
(1-1/1+2)x(1-1/1+2+3)

Exploring the Expression: (1-1/1+2)x(1-1/1+2+3)

This article will explore the mathematical expression (1-1/1+2)x(1-1/1+2+3) and break down its calculation step-by-step.

Understanding Order of Operations

To solve this expression correctly, we need to follow the order of operations, commonly remembered by the acronym PEMDAS or BODMAS:

  • Parentheses ( Brackets)
  • Exponents ( Orders)
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

Calculation Breakdown

  1. Simplify the first set of parentheses (1-1/1+2):

    • 1/1 = 1
    • 1 + 2 = 3
    • 1 - 1 = 0
    • Therefore, (1-1/1+2) = 0

  2. Simplify the second set of parentheses (1-1/1+2+3):

    • 1 + 2 + 3 = 6
    • 1/6 = 1/6
    • 1 - 1/6 = 5/6
    • Therefore, (1-1/1+2+3) = 5/6

  3. Multiply the results of both sets of parentheses:

    • 0 x 5/6 = 0

Conclusion

The final answer to the expression (1-1/1+2)x(1-1/1+2+3) is 0. By following the order of operations, we can break down the expression and arrive at the correct solution.

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