Show Summary Details

p. 696. Below the waterline of the number iceberglocked

  • Peter M. Higgins


‘Below the waterline of the number iceberg’ introduces numbers other than positive integers. Integers are all whole numbers, positive and negative, and can be arranged along a number line. These can be added, subtracted, and multiplied easily, but when divided they form fractions (decimals are simply fractions with 10 as the denominator). Irrational numbers are numbers that are not equal to any fraction. Within irrationals are algebraic numbers, which solve polynomial equations with integer coefficients. Non-algebraic numbers are known as transcendental numbers. Real numbers comprise all possible decimal expansions.

Access to the complete content on Very Short Introductions online requires a subscription or purchase. Public users are able to search the site and view the abstracts and keywords for each book and chapter without a subscription.

Please subscribe or login to access full text content.

If you have purchased a print title that contains an access token, please see the token for information about how to register your code.

For questions on access or troubleshooting, please check our FAQs, and if you can't find the answer there, please contact us.