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real number

real number

9 3.9
A value that can be shown on a straight line, like 3, 1/2, or pi
  • noun
  • /riːəl ˈnʌmbər/
  • Specialized
translation icon : número real
  • In mathematics, a real number can be either a fraction like 1/2 or a decimal like 3.14.
  • set of real numbers
  • two real numbers
  • there must exist real numbers

So let A&B; be real numbers such that a is less than B.

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Examples

  • So I have in this case equal real roots, meaning these are both real numbers, but they're equal to one another as opposed to distinct real roots.

  • Since there is no smallest real number, he would just write them down in any order.

  • So it's all real numbers except for that value.

  • I was asking him what real numbers he had in mind.

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  • So the domain is all real numbers except for these values, right?

  • So K is a real number that makes sense.

  • That does not mean that every real number is included in the domain.

  • OK, you can multiply them by real numbers and get other real numbers.

  • So we've seen that the real numbers are so much bigger than the natural numbers.

  • Each point is assumed to correspond to a real number, and each real number corresponds to a point.

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Synonyms

real
vsreal number
  • Specialized
1 7.4

A number that can be shown on the number line, not imaginary

has identical meaning but uses the fuller two-word expression

Antonyms

imaginary number
  • Specialized
1 7.9

A number in the form a plus b i, where i is the square root of minus one

Surface Forms

real number singular
real numbers plural

Morphology

real + number

The compound is partially compositional: combining 'real' and 'number' signals a particular kind of number (as opposed to imaginary or abstract), so a learner can infer it refers to a class of numbers. However, the precise mathematical/computing sense (numbers with fractional parts, floating‑point approximations) is technical and not fully derivable from everyday senses of the constituents, so full understanding usually requires prior exposure or subject knowledge.

Etymology

Real number comes from mathematics: the word real was used to mean 'not imaginary' because these numbers can be shown as points on a straight 'number line'. So a real number means any value you can place on that line, including decimals, fractions, and negatives.