Equivalence Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
Find a value of \(n\) that makes \(4 \times n = 2 \times 10\) true. Explain what equivalence means here.

Solution

  1. 1
    Calculate the right side: \(2 \times 10 = 20\).
  2. 2
    Set up: \(4 \times n = 20\).
  3. 3
    Divide: \(n = 20 \div 4 = 5\).
  4. 4
    Check: \(4 \times 5 = 20 = 2 \times 10\) โœ“

Answer

\(n = 5\)
Equivalence means both sides represent the same quantity. We find \(n\) so that \(4 \times n\) equals the same value as \(2 \times 10\).

About Equivalence

When two expressions, numbers, or objects represent the same value or are interchangeable in every relevant context.

Learn more about Equivalence โ†’

More Equivalence Examples