Math Problem Statement

(-4\cdot \left(-4\right)\div \left(-8\right)-2)

Solution

Let's simplify the expression step by step:

The expression is:

4(4)÷(8)2-4 \cdot (-4) \div (-8) - 2

  1. First, calculate the multiplication: 4(4)=16-4 \cdot (-4) = 16

  2. Next, divide by 8-8: 16÷(8)=216 \div (-8) = -2

  3. Finally, subtract 2: 22=4-2 - 2 = -4

So, the simplified value of the expression is:

4\boxed{-4}

Would you like further clarification on any step or need additional details?

Here are five related questions for further practice:

  1. Simplify: 5(3)÷64-5 \cdot (-3) \div 6 - 4
  2. Simplify: 8(6)÷(12)+58 \cdot (-6) \div (-12) + 5
  3. Evaluate: (7)(2)÷(14)1(-7) \cdot (-2) \div (-14) - 1
  4. Solve: 3(9)÷373 \cdot (-9) \div 3 - 7
  5. Simplify: (2)(8)÷410(-2) \cdot (-8) \div 4 - 10

Tip: Always follow the correct order of operations (PEMDAS) when simplifying expressions!

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Multiplication
Division
Subtraction

Formulas

PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)

Theorems

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Suitable Grade Level

Grades 6-8