Lesson 4 of 19
2. Back-of-Envelope Estimation

2.3 What time shortcuts make the maths easy?

3 min read+10 XP

At the wedding: You don't plan per minute. You think "the lunch service is about 2 hours", and work from that.

In the system: Almost every estimate divides by time, so learn a few:

PeriodExact secondsIn your head
1 day86,400≈ 100,000 (10⁵)
1 month (30 days)2,592,000≈ 2.5 million
1 year31,536,000≈ 30 million

And the one shortcut that does most of the work:

  • 1 million per day ≈ 12 per second (exactly 11.57).

So 100 million a day is about 1,200 a second, and 1 billion a day is about 12,000 a second.

Why round 86,400 up to 100,000? Dividing by 100,000 is just knocking off five zeros. It makes your answer about 14% too low, which is fine for an estimate, as long as you remember the true answer is a bit higher.

Memory code: "A day is 100k seconds. A million a day is 12 a second."