A comparison of two quantities by division is known as a ratio. It expresses how many times one quantity is contained within another, providing a way to relate the two values. For example, if there are 4 apples and 2 Oranges, the ratio of apples to oranges is 4:2, which can also be simplified to 2:1. Ratios are useful in various fields, including mathematics, finance, and science, to analyze relationships between different quantities.
A ratio uses division to compare two quantities.
ratio
Division
Rate is a comparison based on division.
A rate compares quantities in division. It expresses one quantity in relation to another, often in terms of per unit, such as miles per hour or price per item. This division allows for the comparison of different units or measures, providing a clearer understanding of the relationship between the two quantities.
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A quotient is the answer to a division problem. For example, the quotient of 15/5 is 3.
Derived quantities are physical quantities that are calculated from two or more base quantities. They are expressed as a combination of base units using mathematical operations such as multiplication, division, and exponentiation. Examples of derived quantities include velocity (derived from distance and time) and density (derived from mass and volume). These derived quantities play a crucial role in physics and other sciences for describing and understanding complex relationships between different physical quantities.
No, that statement is not accurate. A ratio is a comparison of two quantities by division, expressing how many times one quantity contains another. It can be represented as a fraction or with a colon (e.g., 3:1). Multiplication is not a defining characteristic of ratios.
First the units of the two quantities should have the same category, e.g length units, or mass units, etc. Second: to convert the unit of one quantity to the same unit of the another quantity. third: to perform the comparison.
Put the 'per' number in the denominator of the fraction.
That's a rate, or more commonly, a ratio.