Scientific Notation Options

May 18th, 2024
tech, writing
When working with numbers that span many orders of magnitude it's very helpful to use some form of scientific notation. At its core, scientific notation expresses a number by breaking it down into a decimal ≥1 and <10 (the "significand" or "mantissa") and an integer representing the order of magnitude (the "exponent"). Traditionally this is written as:

3 × 104

While this communicates the necessary information, it has two main downsides:

  • It uses three constant characters ("× 10") to separate the significand and exponent.

  • It uses superscript, which doesn't work with some typesetting systems and adds awkwardly large line spacing at the best of times. And is generally lost on cut-and-paste.

Instead, I'm a big fan of e-notation, commonly used in programming and on calculators. This looks like:

3e4

This works everywhere, doesn't mess up your line spacing, and requires half as many characters as writing it the traditional way.

There are a bunch of other variants of e-notation, but I don't like any of them as much:

  • 3E4: a shorter separator would be easier to read.
  • 3e+4: the + is redundant.
  • 3⏨4: neat, but requires unicode and can't be pasted into widely-used programming languages and spreadsheet programs.

One downside of "e" notation is that it comes off as less formal than traditional scientific notation. But unless you need to be read as maximally formal I think it's just better all around.

Comment via: facebook, lesswrong, mastodon

Recent posts on blogs I like:

Book Review: The Kingdom, The Power, and the Glory

Against the Internet

via Thing of Things April 25, 2025

Impact, agency, and taste

understand + work backwards from the root goal • don’t rely too much on permission or encouragement • make success inevitable • find your angle • think real hard • reflect on your thinking

via benkuhn.net April 19, 2025

Which Came First, the Chicken or the Egg?

When I thought about this question it was really hard to figure out because the way it's phrased it's essentially either a chicken just pops into existence, or an egg just pops into existence, without any parent animals involved. I thought about t…

via Lily Wise's Blog Posts April 13, 2025

more     (via openring)