Math Problem Statement

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)

Solution

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

  • "Two fifths" is represented as 25\frac{2}{5}.
  • "The difference between two and a number" translates to 2n2 - n, where nn represents the unknown number.

Putting these parts together, we get:
25(2n)\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=1n = 1 in the expression 25(2n)\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 nn?

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Arithmetic
Fractions

Formulas

Fraction Multiplication
Algebraic Expression: a(b - c)

Theorems

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Suitable Grade Level

Grades 6-8