Math Problem Statement

Is the value of 3 - (4 - 5) equal to the value of (3 - 4) - 5?

Solution

Let's break down the problem to determine whether the two expressions are equal.

First Expression:

3(45)3 - (4 - 5)

  • Start with the parentheses: 45=14 - 5 = -1
  • Now, substitute this back into the expression: 3(1)=3+1=43 - (-1) = 3 + 1 = 4

Second Expression:

(34)5(3 - 4) - 5

  • Start with the parentheses: 34=13 - 4 = -1
  • Substitute this back into the expression: 15=6-1 - 5 = -6

Conclusion:

  • The first expression evaluates to 4, while the second expression evaluates to -6.
  • Therefore, the two expressions are not equal.

The correct answer is "No."

Do you want further details or have any other questions?

Here are 5 relative questions for further practice:

  1. What is the value of 5(23)5 - (2 - 3)?
  2. Does the expression (63)2(6 - 3) - 2 equal the value of 6(32)6 - (3 - 2)?
  3. Simplify the expression 8(57)8 - (5 - 7).
  4. Is 2(41)2 - (4 - 1) equal to (24)1(2 - 4) - 1?
  5. Can you find the value of (95)7(9 - 5) - 7?

Tip: Always start solving by simplifying the expression inside parentheses first!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations
Parentheses Usage

Formulas

Basic subtraction formula: a - b

Theorems

Associative Property of Addition/Subtraction

Suitable Grade Level

Grades 5-7