Math Problem Statement

[(9 – (-6)) ÷ (-5) + 5] – 24

Solution

Let's solve the given expression step by step:

[(9(6))÷(5)+5]24[(9 - (-6)) \div (-5) + 5] - 24

Step 1: Simplify inside the parentheses.

The expression inside the parentheses is:

9(6)9 - (-6)

This simplifies to:

9+6=159 + 6 = 15

Now the expression becomes:

[15÷(5)+5]24[15 \div (-5) + 5] - 24

Step 2: Perform the division.

15÷(5)=315 \div (-5) = -3

So now we have:

[3+5]24[-3 + 5] - 24

Step 3: Simplify inside the brackets.

3+5=2-3 + 5 = 2

Now the expression is:

2242 - 24

Step 4: Perform the final subtraction.

224=222 - 24 = -22

Final Answer:

22\boxed{-22}

Would you like more details or have any questions?

Here are 5 related problems to practice:

  1. (12(8))÷4+3(12 - (-8)) \div 4 + 3
  2. [(10+5)×2]7[(-10 + 5) \times 2] - 7
  3. (6(4))÷(2)+8(6 - (-4)) \div (-2) + 8
  4. [15÷(3)]5+12[15 \div (-3)] - 5 + 12
  5. (18+(7))×(2)10(18 + (-7)) \times (-2) - 10

Tip: When dealing with subtraction of negative numbers, remember that subtracting a negative is the same as adding the positive equivalent.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Integer Arithmetic
Division of Integers

Formulas

Basic arithmetic operations
Division of negative and positive integers

Theorems

Properties of integers
Order of operations (PEMDAS)

Suitable Grade Level

Grades 6-8