Moreover, the linguistic expression of exponentiation is often opaque - there is nothing in the form of the English words hundred and thousand to indicate that they are, respectively, the second and third powers of the base. 400, which is simply expressed as 20 x 20. While the use of exponentiation often reinforces the identification of the base, it is not taken here as a defining feature, since some languages use addition and multiplication but without making use of exponentiation an example is Chukchi ( Chukotko-Kamchatkan eastern Siberia), with a vigesimal (base 20) system, but no special expression for 20 2, i.e. Thus, English has a decimal system, and has a special term for 10 2, namely hundred, as well as one for 10 3, namely thousand. expressions to denote the result of raising the base to various powers. Beyond this, many numeral systems also make use of exponentiation of the base, i.e. Numeral Bases Go to mapĪs the Mandarin example shows, the crucial concepts needed to demonstrate that a numeral system has a particular base are addition and multiplication.
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