Math Problem Statement

Evaluate the expression: 18 × (-3 − [8 × (-5)])

Solution

The equation in the image appears to be:

18×(3[8×(5)])18 \times \left(-3 - [8 \times (-5)]\right)

Step-by-step Solution:

  1. Simplify the innermost parentheses: Inside the brackets, calculate 8×(5)8 \times (-5): 8×(5)=408 \times (-5) = -40 Now the equation becomes: 18×(3(40))18 \times \left(-3 - (-40)\right)

  2. Simplify the subtraction inside the parentheses: 3(40)=3+40=37-3 - (-40) = -3 + 40 = 37 Now the equation becomes: 18×3718 \times 37

  3. Multiply: 18×37=66618 \times 37 = 666

Final Answer:

666\boxed{666}

Let me know if you'd like further clarification or details! Here are five related questions to expand your understanding:

  1. How would the answer change if one of the signs in the parentheses changed?
  2. What is the effect of multiplying by negative numbers on the result?
  3. Can you explain why (3)(40)(-3) - (-40) simplifies to (3+40)(-3 + 40)?
  4. How can the distributive property be used to verify the calculation?
  5. What is the role of parentheses in this equation, and how does removing them affect the solution?

Tip: When solving equations with multiple parentheses, always start with the innermost parentheses and work outward for clarity and accuracy!

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Negative Numbers
Multiplication

Formulas

a × (b - c) = a × b - a × c

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8