EXTREMES
extremes
The two outer terms of a proportion are known as extremes. These are the limits of a range of possibilities.
Use the "F-O-I-L" Method when multiplying two binomials. F-O-I-L stands for First, Outer, Inner, Last. Multiply the first terms together, then the outer terms, the inner terms, and the last terms.
... a proportion.... a proportion.... a proportion.... a proportion.
There cannot be a "proportion of something": proportion is a relationship between two things, and how you solve it depends on whether they (or their transformations) are in direct proportion or inverse proportion.
extremes
The two outer terms of a proportion are known as extremes. These are the limits of a range of possibilities.
In a proportion, the two outer terms are the first and last terms in the ratio. For example, in the proportion ( \frac{a}{b} = \frac{c}{d} ), the outer terms are ( a ) and ( d ). The relationship between these terms is that the product of the outer terms is equal to the product of the inner terms, which can be expressed as ( a \times d = b \times c ).
The two outer terms of a proportion are the first term on the left-hand side and the last term on the right-hand side. These terms are usually compared to determine if they are in the same relationship as the two inner terms.
FOIL. First terms Outer terms Inner terms Last terms
the first and fourth terms of a proportion are called the means ?
In a proportion, when two ratios are written with a colon, they typically take the form ( a:b = c:d ). This means that the ratio of ( a ) to ( b ) is equal to the ratio of ( c ) to ( d ). The two numbers in the proportion are the terms of each ratio, represented as ( a ), ( b ), ( c ), and ( d ).
In a proportion, which is an equation that states two ratios are equal, the second and third terms refer to the values involved in the ratios. For example, in the proportion ( a:b = c:d ), ( b ) is the second term and ( c ) is the third term. These terms are crucial for solving proportional equations, as they help determine the relationship between the quantities involved.
In a proportion, the means are the middle terms, and the extremes are the outer terms. Given the means are 6 and 18, and the extremes are 9 and 12, the proportion can be expressed as ( \frac{9}{12} = \frac{6}{18} ). Simplifying both sides, ( \frac{9}{12} ) reduces to ( \frac{3}{4} ), and ( \frac{6}{18} ) reduces to ( \frac{1}{3} ), indicating that these values do not form a valid proportion.
ration
Actually, the terms located in the middle of a proportion are called the means. The first and fourth terms are the extremes.
extremes