Editing Order of magnitude (section)

===Calculating the order of magnitude by truncation===
The order of magnitude of a number is, intuitively speaking, the number of powers of 10 contained in the number.  More precisely, the order of magnitude of a number can be defined in terms of the [[common logarithm]], usually as the [[integer]] part of the logarithm, obtained by [[truncation]].{{contradictory inline|section=Definition|date=November 2023}}  For example, the number {{val|4000000}} has a logarithm (in base 10) of 6.602; its order of magnitude is 6.  When truncating, a number of this order of magnitude is between 10<sup>6</sup> and 10<sup>7</sup>. In a similar example, with the phrase "seven-figure income", the order of magnitude is the number of figures minus one, so it is very easily determined without a calculator to be 6. An order of magnitude is an approximate position on a [[logarithmic scale]].