Math Problem Statement

40 ÷ 5 of 2 × [18 ÷ 6 × (12 - 9) of 5 - (3 - 8)] ÷ 25

Solution

The expression in the image can be interpreted as:

40÷52×[18÷6×(129)5(38)]÷2540 \div 5 \cdot 2 \times \left[ 18 \div 6 \times (12 - 9) \cdot 5 - (3 - 8) \right] \div 25

Let's break it down step by step:

  1. Inside the parentheses:
    • 129=312 - 9 = 3
    • 38=53 - 8 = -5

Now the expression becomes:

40÷52×[18÷6×35(5)]÷2540 \div 5 \cdot 2 \times \left[ 18 \div 6 \times 3 \cdot 5 - (-5) \right] \div 25

  1. Perform divisions and multiplications inside the brackets:
    • 18÷6=318 \div 6 = 3
    • 3×3=93 \times 3 = 9
    • 9×5=459 \times 5 = 45

Now the expression becomes:

40÷52×[45+5]÷2540 \div 5 \cdot 2 \times \left[ 45 + 5 \right] \div 25

  1. Addition inside the brackets:
    • 45+5=5045 + 5 = 50

Now the expression becomes:

40÷52×50÷2540 \div 5 \cdot 2 \times 50 \div 25

  1. Solve the operations from left to right:
    • 40÷5=840 \div 5 = 8
    • 82=168 \cdot 2 = 16
    • 16×50=80016 \times 50 = 800
    • 800÷25=32800 \div 25 = 32

Final Answer:

The value of the expression is 32\boxed{32}.


Do you have any questions or need further clarification?

Here are 5 related questions you might find useful:

  1. How would the result change if the expression had additional parentheses?
  2. What is the order of operations used in simplifying this expression?
  3. How can we rewrite this expression without parentheses?
  4. What are the common mistakes made when solving such complex expressions?
  5. How does the inclusion of negative numbers affect the overall outcome?

Tip: Always work from the innermost parentheses outward and follow the order of operations (PEMDAS/BODMAS).

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Order of Operations
Basic Arithmetic
Negative Numbers
Parentheses Operations

Formulas

BODMAS/PEMDAS rule

Theorems

Order of Operations

Suitable Grade Level

Grades 6-8