**Six and seven thousand four hundred thirty-three ten-thousandths is written as 6.7433 in standard form.** Six is written at the left of the decimal point since the word "and" indicates the separation of a whole number from decimal values. Ten-thousandths specifies the four decimal places after the decimal point.

Numbers are abstract ideas that are written in three ways: standard form, word form and expanded form. The standard form is written in numerals, which are the corresponding symbols for numbers. Since the given number is expressed in words, standard form requires conversion to its numeral form. The given number is a combination of the whole number 6 and the decimal number 0.7433.