List of negative numbers

In mathematics, negative numbers are the opposite or additive inverse of a positive number. Negative numbers are also defined as a number that is less than zero. This list includes notable negative numbers.

−0 - Signed zero, usually equivalent to zero, but separate in many computing representations including floating point.

−1 - The largest negative integer. Multiplying a number by −1 us equivalent to changing its sign. The square of −1 is 1. Therefore, the square of any negative number is a positive number. The square root of −1 is i. Also the lowest y-value of a sine wave.

−2 - The largest even negative integer. Negative two makes a triangular number.[1] Only nine integers have this property, with negative two being the smallest: −2, −1, 0, 1, 4, 5, 9, 56, and 636.[2]

−3 - The half-power point in electronics. A Heegner number. A 'zombie number'.[3]

−40 - The point at which Celsius and Fahrenheit scales are the same. −40 °C = −40 °F.

References

  1. ^ Richard K. Guy (1994). "Figurate Numbers", §D3 in Unsolved Problems in Number Theory. Problem Books in Mathematics (2nd ed.). New York: Springer-Verlag. p. 148. ISBN 978-0387208602.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A165519 (Integers k for which k(k+1)(k+2) is a triangular number.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A328933 (For any negative number, add the digits (assigning the negative sign just to the first digit), square the result and add it to the original number. This sequence shows negative numbers which give a positive answer.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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