Math Problem Statement

Which of these are equal to 11? Select all that apply.

Solution

Let's analyze the expressions given in the image to determine which are equal to 11.

  1. First expression: 555\frac{-55}{-5}
    Simplifying this: 555=11\frac{-55}{-5} = 11 So, this is equal to 11.

  2. Second expression: (555)-\left(\frac{55}{5}\right)
    Simplifying the inner part first: 555=11\frac{55}{5} = 11 Now apply the negative sign: 11-11 This expression is not equal to 11.

  3. Third expression: (555)-\left(\frac{-55}{-5}\right)
    Simplifying the inner part first: 555=11\frac{-55}{-5} = 11 Now apply the negative sign: 11-11 This expression is also not equal to 11.

Conclusion:

  • The first expression is equal to 11.
  • The second and third expressions are not equal to 11.

Would you like any further details or have any questions?

Here are some related questions:

  1. What is the rule for dividing negative numbers?
  2. How do you handle nested negative signs in an expression?
  3. Why does the negative sign outside a fraction affect the result?
  4. Can you explain more about simplifying fractions?
  5. How do absolute values affect division of negative numbers?

Tip: Always simplify expressions inside parentheses first before applying outer operations!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Division of Negative Numbers
Simplification of Fractions
Order of Operations

Formulas

a ÷ b = c (Basic division)
(-a) ÷ (-b) = a ÷ b (Division of negative numbers)

Theorems

Division of Negative Numbers: Dividing two negative numbers results in a positive quotient.

Suitable Grade Level

Grades 6-8