Math Problem Statement

Evaluate the expression: -8 · 9 ÷ [-8 - (-4)]

Solution

We are asked to evaluate the expression:

89÷[8(4)]-8 \cdot 9 \div [-8 - (-4)]

We will follow the order of operations (PEMDAS) step by step.


Step 1: Simplify inside the brackets

8(4)-8 - (-4) Subtracting a negative number is equivalent to adding the positive:

8(4)=8+4=4-8 - (-4) = -8 + 4 = -4

So the expression now becomes:

89÷(4)-8 \cdot 9 \div (-4)


Step 2: Perform multiplication and division from left to right

  1. Multiply 8-8 and 99: 89=72-8 \cdot 9 = -72

  2. Divide 72-72 by 4-4: 72÷4=18-72 \div -4 = 18


Final Answer:

1818


Do you need further clarification or additional details? Let me know!

Related Questions:

  1. How do you solve expressions using the order of operations (PEMDAS)?
  2. What happens when subtracting negative numbers?
  3. Can you explain the rules for multiplying and dividing negative numbers?
  4. What is the difference between parentheses and brackets in math expressions?
  5. Why is it important to perform operations from left to right in math?

Quick Tip:

Remember that when dividing or multiplying two negative numbers, the result is positive.

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Math Problem Analysis

Mathematical Concepts

Order of Operations (PEMDAS)
Multiplication and Division of Integers
Operations with Negative Numbers

Formulas

PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right)

Theorems

Rule for subtracting a negative number: a - (-b) = a + b
Multiplication and Division of Signed Numbers: A negative ÷ negative = positive

Suitable Grade Level

Grade 6-8