The term "per" does not strictly mean "multiply," but it is often used in contexts where multiplication is implied. "Per" indicates a ratio or rate, showing how one quantity relates to another. Here are some details to explain further:
Definition: The word "per" means "for each" or "in relation to." It is commonly used in mathematical and statistical contexts to express rates.
Examples:
- "5 dollars per item" means for each item, the cost is 5 dollars. If you buy 3 items, you would calculate the total cost as (3 \times 5 = 15) dollars.
- "60 miles per hour" indicates that for each hour, a vehicle travels 60 miles. If you travel for 2 hours, the distance is calculated as (2 \times 60 = 120) miles.
Ratios and Rates: When you see "per," it typically involves rates or ratios:
- A speed of "30 kilometers per hour" defines how many kilometers are traveled in one hour.
- A concentration of "5 grams per liter" describes how many grams are in each liter of solution.
Mathematical Context: In scenarios involving "per," you can often translate it into a multiplication operation:
- If you know the quantity of something is a certain amount "per" another quantity, you can multiply to find the total for a specific quantity.
- Dimensional Analysis: In physics and other sciences, "per" is used in dimensional analysis. For example, "newtons per meter squared" (pressure) indicates force applied over an area.
In conclusion, while "per" does not mean "multiply" outright, it frequently indicates a relationship where multiplication is necessary to derive totals or relate quantities. It establishes a rate or ratio that allows for mathematical calculations involving multiplication.