integers

Meanings

• Noun

  A set of discrete numerical values that can be used to count or measure.

  - "The integers from 1 to 10 are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10."

• Noun

  A whole number, positive or negative, that can be expressed as a count or a measurement.

  - "The sum of 2 and 3 is an integer."
  - "The roots of the equation x^2 = 16 have two integer solutions: +4 and -4."

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Synonyms

integral number , whole number , ℤ

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Variants

List of all variants of integers that leads to same result
integer , integers

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Etymology

origin and the way in which meanings have changed throughout history.

From the Latin integer, meaning 'whole' or 'entire'

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The smallest positive integer is 1.

2. The largest negative integer is -infinity.

3. The sum of any two integers is also an integer.

4. The product of two integers is an integer if and only if one or both of the integers is a multiple of the other.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Natural numbers: The set of positive integers, starting from 1.

2. Whole numbers: The set of integers that includes both positive and negative integers, as well as zero.

3. Rational numbers: A number that can be expressed as the quotient or fraction p/q of two integers, p being the numerator and q the denominator.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

Integers have been used extensively in mathematics, science, and engineering. They are fundamental to algebra and number theory, and are used to describe quantities that can be counted or measured.

How to Memorize "integers"

1. visualize
   

   - To visualize integers, imagine a number line with points representing each integer.

2. associate
   

   - Associate integers with objects or concepts that have the same number of parts or units.

3. mnemonics
   

   - Use the mnemonic 'Please Excuse My Dear Aunt Sally' (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) to remember the order of operations in arithmetic.

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