Numerator

Numerator

The numerator is the top part of a fraction. It represents the number of equal parts of a whole or set that are considered or taken. The number below the numerator is the denominator, which represents the total number of equal parts in the whole or set.

In the fraction 3/4, for example, 3 is the numerator and 4 is the denominator. This means that 3 out of 4 equal parts of the whole or set are considered or taken.

History

The concept of the numerator and denominator in fractions has been used since ancient times. The Ancient Egyptians used fractions with a numerator of 1 and denominators of 2, 3, and so on. The Ancient Greeks also used fractions, but they did not use the same notation that we use today.

Use in Mathematics

In mathematics, the numerator is used in various ways. It is used in fractions to represent part of a whole. It is also used in ratios and rates, where the numerator represents a certain quantity in relation to another quantity.

In algebra, the numerator is used in rational expressions, which are algebraic expressions that can be written as a ratio of two polynomials. The numerator is the polynomial in the numerator of the ratio.

In calculus, the numerator is used in derivatives and integrals, where it represents a change in a quantity in relation to a change in another quantity.

See also

• Fraction (mathematics)
• Denominator
• Rational number
• Rational function
• Rational expression

References

Numerator Resources
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