Question

find four rational numbers whose sum is 30,-28 and 20

Answer 1

Answer:

Explanation:

Rational Numbers

In the context of the set Q, the term rational refers to the fact that a rational number is a ratio of two integers. "Rational" is frequently used as a word in mathematics, abbreviating "rational number." In some cases, the adjective rational denotes that the coefficients are rational numbers. A rational point, for example, is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational numbers; and a rational polynomial is a polynomial with rational coefficients, though the term "polynomial over the rationals" is preferred to avoid confusion between "rational expression" and "rational function" (a polynomial is a rational expression and defines a rational function, even if its coefficients are not rational numbers). A rational curve, on the other hand, is one that may be parameterized by rational functions rather than one that is defined over the rationals.

Answer 2

30 = $\frac{3}{2} + \frac{21}{2} + \frac{5}{2}+\frac{1}{2}$

-28 = $\frac{-34}{5} +\frac{2}{5} +\frac{3}{5}+\frac{1}{5}$

20 = $\frac{-34}{5} +\frac{51}{5} +\frac{2}{5}+\frac{1}{5}$

• Any integer that can be expressed in the form $\frac{p}{q}$, with q>0, is referred to as a rational number in mathematics. Additionally, we can assert that any fraction that has an integer denominator and a non-zero numerator falls under the category of rational numbers. Division of a rational number, or fraction, yields a decimal result that can either be a terminating decimal or a repeating decimal.
• A number is rational if it can be expressed as a fraction with both an integer for the denominator and a non-zero number for the numerator.

Here, according to the given information, we have to find four rational numbers whose sum is,

• 30 = $\frac{3}{2} + \frac{21}{2} + \frac{5}{2}+\frac{1}{2}$
• -28 = $\frac{-34}{5} +\frac{2}{5} +\frac{3}{5}+\frac{1}{5}$
• 20 = $\frac{-34}{5} +\frac{51}{5} +\frac{2}{5}+\frac{1}{5}$

Hence, the numbers are,

• 30 = $\frac{3}{2} + \frac{21}{2} + \frac{5}{2}+\frac{1}{2}$
• -28 = $\frac{-34}{5} +\frac{2}{5} +\frac{3}{5}+\frac{1}{5}$
• 20 = $\frac{-34}{5} +\frac{51}{5} +\frac{2}{5}+\frac{1}{5}$

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