Math Problem Statement

-16+(20×6)÷(-6+2)-8

Solution

Let's break down the expression step by step:

The given expression is:

16+20×66+28-16 + \frac{20 \times 6}{-6 + 2} - 8

Step 1: Simplify inside the parentheses

6+2=4-6 + 2 = -4

Now the expression becomes: 16+20×648-16 + \frac{20 \times 6}{-4} - 8

Step 2: Multiply 20×620 \times 6

20×6=12020 \times 6 = 120

Now the expression becomes: 16+12048-16 + \frac{120}{-4} - 8

Step 3: Divide 120120 by 4-4

1204=30\frac{120}{-4} = -30

Now the expression becomes: 16+(30)8-16 + (-30) - 8

Step 4: Add and subtract from left to right

16+(30)=46-16 + (-30) = -46 468=54-46 - 8 = -54

Final Answer:

54\boxed{-54}

Would you like any more details or clarification?

Here are 5 related questions:

  1. How would the answer change if the denominator was 6+26 + 2 instead of 6+2-6 + 2?
  2. What happens if you change the operation to multiplication instead of division?
  3. How does changing the sign of one of the numbers affect the result?
  4. How would you simplify an expression with more than two parentheses?
  5. Can you solve this using the distributive property?

Tip: Always remember to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

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Math Problem Analysis

Mathematical Concepts

Order of Operations (PEMDAS)
Arithmetic Operations
Negative Numbers

Formulas

Division of terms: a ÷ b
Addition and Subtraction: a + b - c

Theorems

Order of Operations

Suitable Grade Level

Grades 6-8