Editing Scientific notation (section)

== Converting numbers ==
Converting a number in these cases means to either convert the number into scientific notation form, convert it back into decimal form or to change the exponent part of the equation. None of these alter the actual number, only how it's expressed.

=== Decimal to scientific ===
First, move the decimal separator point sufficient places, ''n'', to put the number's value within a desired range, between 1 and 10 for normalized notation. If the decimal was moved to the left, append <code class=nowrap>× 10''<sup>n</sup>''</code>; to the right, <code class=nowrap>× 10''<sup>−n</sup>''</code>. To represent the number {{val|1230400|fmt=commas}} in normalized scientific notation, the decimal separator would be moved 6 digits to the left and <code class=nowrap>× 10<sup>6</sup></code> appended, resulting in {{val|1.2304E6}}. The number {{val|-0.0040321}} would have its decimal separator shifted 3 digits to the right instead of the left and yield {{val|-4.0321E-3}} as a result.

=== Scientific to decimal ===
Converting a number from scientific notation to decimal notation, first remove the <code class=nowrap>× 10''<sup>n</sup>''</code> on the end, then shift the decimal separator ''n'' digits to the right (positive ''n'') or left (negative ''n''). The number {{val|1.2304E6}} would have its decimal separator shifted 6 digits to the right and become {{val|1230400|fmt=commas}}, while {{val|-4.0321E-3}} would have its decimal separator moved 3 digits to the left and be {{val|-0.0040321}}.

=== Exponential ===
Conversion between different scientific notation representations of the same number with different exponential values is achieved by performing opposite operations of multiplication or division by a power of ten on the significand and an subtraction or addition of one on the exponent part. The decimal separator in the significand is shifted ''x'' places to the left (or right) and ''x'' is added to (or subtracted from) the exponent, as shown below.

{{block indent | em = 1.5 | text = {{val|1.234E3}} = {{val|12.34E2}} = {{val|123.4E1}} = 1234}}