Math Problem Statement

13 - (8 · 14) - 13 + 5?

Solution

The mathematical expression extracted from the image is:

13(814)13+513 - (8 \cdot 14) - 13 + 5

Let's solve it step by step:

  1. First, evaluate the multiplication inside the parentheses: 814=1128 \cdot 14 = 112
  2. Substitute the result back into the equation: 1311213+513 - 112 - 13 + 5
  3. Now, perform the operations from left to right: 13112=9913 - 112 = -99 9913=112-99 - 13 = -112 112+5=107-112 + 5 = -107

So, the result is 107-107.

Would you like any further details or have questions?

Here are some related questions:

  1. What is the order of operations for more complex expressions?
  2. How would the result change if we replaced the multiplication with division?
  3. Can you demonstrate how parentheses affect calculation priorities?
  4. What if we add exponents to this expression? How would the solution differ?
  5. Can we rearrange terms without changing the final result?

Tip: Always perform operations inside parentheses first, and follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations
Parentheses
Multiplication
Subtraction
Addition

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8