Math Problem Statement

2(2-3)+(8+4)

Solution

Let's solve the expression step by step:

2(23)+(8+4)2(2 - 3) + (8 + 4)

  1. First, handle the parentheses:
    • 23=12 - 3 = -1
    • 8+4=128 + 4 = 12

Now substitute these values back into the expression:

2(1)+122(-1) + 12

  1. Multiply:
    • 2×(1)=22 \times (-1) = -2

So, the expression becomes:

2+12-2 + 12

  1. Finally, add the remaining values:

2+12=10-2 + 12 = 10

Thus, the result is:

10\boxed{10}

Would you like any further details or explanations? Here are some related questions you might find interesting:

  1. What is the order of operations in more complex expressions?
  2. How would the answer change if the expression were 2(32)+(8+4)2(3-2)+(8+4)?
  3. Can parentheses and order of operations change the result of an expression?
  4. How do you simplify expressions with multiple brackets?
  5. What happens when negative numbers are involved in more complex expressions?

Tip: Always follow the order of operations, commonly remembered as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations
Parentheses

Formulas

PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction)

Theorems

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Suitable Grade Level

Grades 5-7