Let's solve the expression step by step:

Given expression: 
\[
-24 + \frac{72}{-12} - 2 \times (-3)
\]

1. **Division:** 
   \[
   \frac{72}{-12} = -6
   \]
   So the expression now becomes:
   \[
   -24 + (-6) - 2 \times (-3)
   \]

2. **Multiplication:**
   \[
   -2 \times (-3) = 6
   \]
   Now, the expression is:
   \[
   -24 + (-6) + 6
   \]

3. **Addition and Subtraction:**
   \[
   -24 + (-6) = -30
   \]
   \[
   -30 + 6 = -24
   \]

So, the final answer is \(-24\).

Would you like further details or have any questions? Here are some related questions:

1. How do you handle operations with negative numbers?
2. What is the order of operations in a mathematical expression?
3. How do you simplify expressions with both positive and negative numbers?
4. Can division and multiplication affect the sign of a result?
5. How can the distributive property be used in similar problems?

**Tip:** Always follow the order of operations (PEMDAS/BODMAS) to avoid mistakes in calculations.

Understand how to solve the arithmetic expression -24 + 72 / (-12) - 2 * (-3) using the PEMDAS order of operations. This problem focuses on division, multiplication, and handling negative numbers, making it 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