Math Problem Statement

(-7-2)(-7-0)(-7-11)

Solution

Let's solve the expression step by step:

The expression is:

(72)(70)(711)(-7 - 2)(-7 - 0)(-7 - 11)

  1. Simplify each part inside the parentheses:
  • 72=9-7 - 2 = -9
  • 70=7-7 - 0 = -7
  • 711=18-7 - 11 = -18

Now the expression becomes:

(9)(7)(18)(-9)(-7)(-18)

  1. Multiply the numbers:

First, multiply 9-9 and 7-7:

9×7=63-9 \times -7 = 63

Next, multiply the result by 18-18:

63×18=113463 \times -18 = -1134

Thus, the final result is:

1134\boxed{-1134}

Would you like more details, or have any questions about the steps?

Here are 5 related questions:

  1. What happens when you multiply two negative numbers?
  2. Can you simplify an expression with multiple negative factors?
  3. How do parentheses affect the order of operations in expressions?
  4. Why is the result negative when you multiply a positive number by a negative number?
  5. What are some other examples of operations involving negative numbers?

Tip: Always work inside the parentheses first and follow the correct order of operations to avoid mistakes!

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Math Problem Analysis

Mathematical Concepts

Algebra
Arithmetic
Multiplication of Integers

Formulas

Order of operations (PEMDAS/BODMAS)
Multiplication of negative numbers

Theorems

Multiplying negative numbers theorem

Suitable Grade Level

Grades 6-8