Math Problem Statement

Simplify the expression: 4 - 2(6 - 5)

Solution

Let's simplify the expression step by step:

We are given: 42(65)4 - 2(6 - 5)

Step 1: Simplify inside the parentheses

65=16 - 5 = 1

So the expression becomes: 42(1)4 - 2(1)

Step 2: Multiply

2(1)=22(1) = 2

Now the expression is: 424 - 2

Step 3: Subtract

42=24 - 2 = 2

Thus, the simplified expression is: 2\boxed{2}

Would you like more details on any step?

Here are 5 related questions:

  1. How do you simplify an expression with more complex parentheses?
  2. What is the order of operations, and why is it important here?
  3. How would the expression change if it were 43(65)4 - 3(6 - 5)?
  4. How do you handle multiplication when it involves negative numbers inside parentheses?
  5. Can this expression be further simplified if additional terms were added?

Tip: Always simplify inside parentheses first, then follow the order of operations (PEMDAS).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations
Parentheses

Formulas

-

Theorems

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Suitable Grade Level

Grades 5-7