Math Problem Statement

(− 6 − 9 × (− 2)) ÷ (− 4)

Solution

Let's break down the expression step by step:

(69×(2))÷(4)(-6 - 9 \times (-2)) \div (-4)

  1. Multiplication first (according to the order of operations, PEMDAS): 9×(2)=189 \times (-2) = -18

    So the expression becomes: (6(18))÷(4)(-6 - (-18)) \div (-4)

  2. Subtraction: 6(18)=6+18=12-6 - (-18) = -6 + 18 = 12

    Now, the expression is: 12÷(4)12 \div (-4)

  3. Division: 12÷(4)=312 \div (-4) = -3

Thus, the final result is: 3\boxed{-3}

Would you like further clarification on any step, or do you have any other questions?

Here are some related questions:

  1. What happens if the division is with a positive number instead of a negative one?
  2. How do you evaluate an expression with multiple operations like addition, subtraction, multiplication, and division?
  3. What is the significance of the negative sign when performing multiplication or division?
  4. Can you explain the order of operations (PEMDAS/BODMAS)?
  5. How do parentheses affect the order of operations?

Tip: Always perform multiplication and division before addition and subtraction, even when working with parentheses!

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Multiplication
Division
Subtraction

Formulas

PEMDAS/BODMAS

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 5-7