A ratio between two (usually) different quantities is the rate. Usually used to describe something compared to a quantity of time.
yes, if the golden ratio is ((square root 5) +1)/2, then the silver ratio is (square root 2) +1. as the golden ratio is represented by phi, the silver ratio is represented by deltas. as two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one, two quantities are in the silver ratio if the ratio between the sum of the smaller plus twice the larger of those quantities and the larger one is the same as the ratio between the larger one and the smaller.
No, a ratio is not the same as its value. A ratio compares two quantities, expressing their relative sizes, while its value represents the actual numerical relationship between those quantities. For example, a ratio of 2:1 indicates that for every 2 units of one quantity, there is 1 unit of another, but the value of that ratio is 2. Thus, while related, they convey different concepts.
It is a rate. For instance, if the quantities are 10 km and 2 hours, then the ratio (10 km)/(2 hours) = 10/2 km/hour = 5 km/h, which is a rate of speed.
The value of a ratio is used to create a table by determining the proportional relationship between two or more quantities. Each entry in the table represents a specific instance of these quantities, calculated using the ratio. For example, if a ratio of 2:1 is given, the table can be populated with values that maintain this proportion, such as 2 units of one quantity for every 1 unit of another. This allows for a clear visualization of how the quantities relate to each other at different levels.
To calculate a part-to-part ratio, you compare two different quantities by expressing them as a fraction. For example, if you have 3 apples and 2 oranges, the part-to-part ratio of apples to oranges is 3:2. This means for every 3 apples, there are 2 oranges. Ensure that the two quantities you are comparing are relevant to each other for the ratio to make sense.
ratio that compares 2 quantities measured in diiferent units
yes, if the golden ratio is ((square root 5) +1)/2, then the silver ratio is (square root 2) +1. as the golden ratio is represented by phi, the silver ratio is represented by deltas. as two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one, two quantities are in the silver ratio if the ratio between the sum of the smaller plus twice the larger of those quantities and the larger one is the same as the ratio between the larger one and the smaller.
No, a ratio is not the same as its value. A ratio compares two quantities, expressing their relative sizes, while its value represents the actual numerical relationship between those quantities. For example, a ratio of 2:1 indicates that for every 2 units of one quantity, there is 1 unit of another, but the value of that ratio is 2. Thus, while related, they convey different concepts.
Yes, the order of terms in a ratio matters because it indicates the relationship between the two quantities. Unlike a fraction, which represents division and can be reversed without changing the value (e.g., 1/2 is the same as 0.5), a ratio conveys a specific comparison. For example, a ratio of 2:3 implies a different relationship than 3:2, representing distinct proportions between the two quantities.
It is a rate. For instance, if the quantities are 10 km and 2 hours, then the ratio (10 km)/(2 hours) = 10/2 km/hour = 5 km/h, which is a rate of speed.
The value of a ratio is used to create a table by determining the proportional relationship between two or more quantities. Each entry in the table represents a specific instance of these quantities, calculated using the ratio. For example, if a ratio of 2:1 is given, the table can be populated with values that maintain this proportion, such as 2 units of one quantity for every 1 unit of another. This allows for a clear visualization of how the quantities relate to each other at different levels.
To calculate a part-to-part ratio, you compare two different quantities by expressing them as a fraction. For example, if you have 3 apples and 2 oranges, the part-to-part ratio of apples to oranges is 3:2. This means for every 3 apples, there are 2 oranges. Ensure that the two quantities you are comparing are relevant to each other for the ratio to make sense.
Proportional
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.
The term of a ratio can be described as the individual components or values that make up the ratio. For example, in the ratio 3:2, the terms are 3 and 2, representing the quantities being compared. Terms can also be referred to as the antecedent (the first term) and the consequent (the second term) in a ratio. Each term provides insight into the proportional relationship between the quantities involved.
The symbol used to represent a ratio is typically a colon (:). For example, in the ratio 3:2, the colon indicates the relationship between the two quantities. Ratios can also be represented using the word "to" (e.g., "3 to 2") or as a fraction (e.g., 3/2).
There are many instances: for example, speed is measured in kilometres per hour where the ratio is measured between a distance (measured in kilometres) and time (measured in hours). So it is no big deal except that you need to mention the units.