Select the option that best describes the following mathematical expression:

Two fifths of the difference between two and a number.

Answer choices:

**2**/**5** • 2 - n

**2**/**5** (2 - n)

(n - 2) **2**/**5**

**2**/**5** (2 + n)

The expression "Two fifths of the difference between two and a number" can be broken down as follows:

- "Two fifths" is represented as \( \frac{2}{5} \).
- "The difference between two and a number" translates to \( 2 - n \), where \( n \) represents the unknown number.

Putting these parts together, we get:  
\[ \frac{2}{5} \cdot (2 - n) \]

Therefore, the correct option is:  
**2/5 (2 - n)**.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. How would the expression change if it were "three fifths" instead of "two fifths"?
2. How can you express "the sum of two and a number" in a similar form?
3. What is the result if \( n = 1 \) in the expression \( \frac{2}{5}(2 - n) \)?
4. How would the expression look if the phrase was "two fifths of the sum between two and a number"?
5. Can you express this algebraic expression as a function of \( n \)?

**Tip:** When interpreting algebraic expressions, focus on breaking down the language ("of," "difference," "sum") into their mathematical counterparts (multiplication, subtraction, addition).

Select the option that best describes the following mathematical expression: Two fifths of the difference between two and a number. Answer choices: 2/5 • 2 - n, 2/5 (2 - n), (n - 2) 2/5, 2/5 (2 + n)

Learn how to express 'Two fifths of the difference between two and a number' in algebraic form. This problem covers basic algebra concepts like fractions and expressions, suitable for Grades 6-8. Understand how to convert word problems into mathematical expressions step by step.

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