Math Problem Statement

Evaluate 5 × (-15 - 12) ÷ (6 + 3)

Solution

The image contains the following expression to evaluate:

5×(1512)÷(6+3)5 \times (-15 - 12) \div (6 + 3)

Let's break it down step by step:

  1. Evaluate the parentheses:
    • 1512=27-15 - 12 = -27
    • 6+3=96 + 3 = 9

Now the expression becomes:

5×(27)÷95 \times (-27) \div 9

  1. Perform the multiplication and division:
    • 5×(27)=1355 \times (-27) = -135
    • Now, 135÷9=15-135 \div 9 = -15

Thus, the final result is:

15-15

Would you like further details on any steps?


Here are some related questions to deepen your understanding:

  1. How do you simplify expressions with both multiplication and division?
  2. What is the importance of evaluating parentheses first in expressions?
  3. Can the order of operations affect the outcome of a problem like this?
  4. How does handling negative numbers in multiplication and division work?
  5. What are some common mistakes when dealing with multiple operations in one expression?

Tip: Always follow the order of operations (PEMDAS) to avoid calculation errors!

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Basic Arithmetic
Negative Numbers

Formulas

-

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 6-8