Math Problem Statement

-3 - 2 (4 - 6)

Solution

Let's solve the expression step by step:

32×(46)-3 - 2 \times (4 - 6)

  1. Evaluate inside the parentheses first:

46=24 - 6 = -2

  1. Substitute this result back into the expression:

32×(2)-3 - 2 \times (-2)

  1. Multiply 2-2 by 2-2:

2×(2)=4-2 \times (-2) = 4

  1. Finally, subtract 3 from 4:

3+4=1-3 + 4 = 1

So, the result of the expression is 1\boxed{1}.

Would you like any details or have any questions? Here are five related questions to deepen your understanding:

  1. How would the expression change if the subtraction sign before 3-3 were a plus sign?
  2. Can you simplify 3×(47)+23 \times (4 - 7) + 2 and explain each step?
  3. What happens if you change the numbers in the parentheses to 646 - 4 instead of 464 - 6?
  4. How would you solve 32(64)-3 - 2(6 - 4)?
  5. How does the order of operations affect the outcome of (

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations (PEMDAS)

Formulas

Distributive Property

Theorems

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Suitable Grade Level

Grades 5-7