Let's solve the given expression step by step:

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

### Step 1: Simplify inside the parentheses.
The expression inside the parentheses is:

\[
9 - (-6)
\]

This simplifies to:

\[
9 + 6 = 15
\]

Now the expression becomes:

\[
[15 \div (-5) + 5] - 24
\]

### Step 2: Perform the division.
\[
15 \div (-5) = -3
\]

So now we have:

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

### Step 3: Simplify inside the brackets.
\[
-3 + 5 = 2
\]

Now the expression is:

\[
2 - 24
\]

### Step 4: Perform the final subtraction.
\[
2 - 24 = -22
\]

### Final Answer:
\[
\boxed{-22}
\]

Would you like more details or have any questions?

Here are 5 related problems to practice:
1. \((12 - (-8)) \div 4 + 3\)
2. \([(-10 + 5) \times 2] - 7\)
3. \((6 - (-4)) \div (-2) + 8\)
4. \([15 \div (-3)] - 5 + 12\)
5. \((18 + (-7)) \times (-2) - 10\)

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

Learn how to solve the mathematical expression [(9 - (-6)) ÷ (-5) + 5] – 24 with a step-by-step breakdown. This problem involves applying the order of operations, integer arithmetic, and handling the division of negative numbers. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation