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Quadruple

Quadruple

Multiply by four.

Key Formula

Quadruple of x=4x\text{Quadruple of } x = 4x
Where:
  • xx = The original quantity being multiplied by four

Worked Example

Problem: A baker makes 15 loaves of bread on Monday. On Tuesday, she quadruples her output. How many loaves does she make on Tuesday?
Step 1: Identify the original quantity.
x=15x = 15
Step 2: Multiply by four to quadruple it.
4×15=604 \times 15 = 60
Answer: She makes 60 loaves on Tuesday.

Why It Matters

The prefix "quad-" appears throughout mathematics and science — in terms like quadrilateral (four sides), quadrant (one-fourth of a coordinate plane), and quadratic (involving a squared, or second-degree, term). Recognizing that "quadruple" means "times four" helps you quickly interpret word problems and real-world statements like "sales quadrupled this year."

Common Mistakes

Mistake: Confusing quadruple (×4) with double (×2) or triple (×3).
Correction: Remember the Latin prefix: "quad" means four. Double is ×2, triple is ×3, and quadruple is ×4.

Related Terms

  • DoubleMultiply by two instead of four
  • TripleMultiply by three instead of four
  • QuadrilateralA polygon with four sides
  • MultiplyThe operation used to quadruple