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In mathematics, "means and extremes" typically refers to the relationship between the terms of a proportion. In a proportion expressed as ( a/b = c/d ), ( a ) and ( d ) are called the extremes, while ( b ) and ( c ) are the means. To solve for an unknown in such equations, you can cross-multiply, leading to the equation ( a \cdot d = b \cdot c ). This principle allows for finding missing values and establishing equivalent ratios in various applications.
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What is the definition of means and extremes?
In mathematics, particularly in the context of proportions, the terms "means" and "extremes" refer to the four terms in a proportion ( \frac{a}{b} = \frac{c}{d} ). In this case, ( a ) and ( d ) are called the extremes, while ( b ) and ( c ) are the means. The relationship signifies that the product of the means equals the product of the extremes, or ( a \times d = b \times c ). This concept is fundamental in solving problems involving ratios and proportions.
What is the product of means and extremes?
The product of means and extremes refers to a property in proportions. If two ratios (a/b = c/d) are equal, then the product of the means (b and c) is equal to the product of the extremes (a and d), expressed as (b \cdot c = a \cdot d). This relationship is often used in solving problems involving proportions, ensuring that the cross-multiplication yields equivalent results.
What is the product of the extremes?
The product of the extremes refers to a concept in proportions, where it involves the multiplication of the two outer terms in a ratio. For example, in the proportion ( \frac{a}{b} = \frac{c}{d} ), the product of the extremes would be ( a \times d ). This is equal to the product of the means, ( b \times c ), confirming the equality of the two ratios. This relationship is fundamental in solving problems involving proportions.
What is first and fourth terms of a proportion called?
In a proportion, the first and fourth terms are referred to as the "extremes," while the second and third terms are called the "means." This terminology is often used in the context of a proportion expressed as ( a : b = c : d ), where ( a ) and ( d ) are the extremes, and ( b ) and ( c ) are the means. The relationship between these terms is fundamental in solving proportions and understanding their properties.
What is a proportion that has means 6 and 18 and extremes 9 and 12?
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.
What is the definition of means and extremes?
In mathematics, particularly in the context of proportions, the terms "means" and "extremes" refer to the four terms in a proportion ( \frac{a}{b} = \frac{c}{d} ). In this case, ( a ) and ( d ) are called the extremes, while ( b ) and ( c ) are the means. The relationship signifies that the product of the means equals the product of the extremes, or ( a \times d = b \times c ). This concept is fundamental in solving problems involving ratios and proportions.
What is the product of means and extremes?
The product of means and extremes refers to a property in proportions. If two ratios (a/b = c/d) are equal, then the product of the means (b and c) is equal to the product of the extremes (a and d), expressed as (b \cdot c = a \cdot d). This relationship is often used in solving problems involving proportions, ensuring that the cross-multiplication yields equivalent results.
What is the product of the extremes?
The product of the extremes refers to a concept in proportions, where it involves the multiplication of the two outer terms in a ratio. For example, in the proportion ( \frac{a}{b} = \frac{c}{d} ), the product of the extremes would be ( a \times d ). This is equal to the product of the means, ( b \times c ), confirming the equality of the two ratios. This relationship is fundamental in solving problems involving proportions.
What is first and fourth terms of a proportion called?
In a proportion, the first and fourth terms are referred to as the "extremes," while the second and third terms are called the "means." This terminology is often used in the context of a proportion expressed as ( a : b = c : d ), where ( a ) and ( d ) are the extremes, and ( b ) and ( c ) are the means. The relationship between these terms is fundamental in solving proportions and understanding their properties.
What is the product of the extremes and the means called?
i don't know and i want to know too!
What does problem solving means?
Finding the answer.
What is the product of the numerator of one ratio and the denominator of the other ratio called in a proportion?
The numerator of the second ratio and the denominator of the first ratio are called the means, and the numerator of the first ratio and the denominator of the second ratio are called the extremes. The product of the means equals the product of the extremes.
What is a proportion that has means 9 and10 and extremes 6 and 15?
6/9 = 10/15
What is a proportion that has means 6 and 18 and extremes 9 and 12?
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.
What is the mathematical term the product of the mean equals the product of the extremes?
: The product of the means is equal to the product of the extremes. When you cross multiply to show 2 fractions are equivalent. Ex a/c =b/d so cross multiplying would show a x d = c x b c x b are the means a x d are the extremes Their products are equal in a proportion or equivalent fractions that is the answer and it is correct
When was The Extremes created?
The Extremes was created in 1998.
What is means problem ownership?
It means identifying whose problem it is and, therefore, who is responsible for solving it.
