Evaluating Nested Expressions with n=4

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Question:

What are the values of the following expression?

In each line, assume that:

x = 2.5 y = -1.5 m = 18 n = 4

1 - (1 - (1 - (1 - (1 - n))))

Answer:

To evaluate the expression ( 1 - (1 - (1 - (1 - (1 - n)))) ) with the given value of ( n = 4 ), we can simplify it step by step.

  1. Start with the innermost expression: [ 1 - n = 1 - 4 = -3 ]

  2. Substitute this result into the next outer expression: [ 1 - (-3) = 1 + 3 = 4 ]

  3. Substitute this result into the next outer expression: [ 1 - 4 = -3 ]

  4. Substitute this result into the next outer expression: [ 1 - (-3) = 1 + 3 = 4 ]

  5. Finally, substitute this result into the outermost expression: [ 1 - 4 = -3 ]

Thus, the value of the expression ( 1 -