robot-dreams comments on Lifehack Ideas January 2015 - Less Wrong

5 Post author: Gondolinian 01 January 2015 02:34AM

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Comment author: robot-dreams 10 January 2015 06:13:16PM *  0 points [-]

Here's how I calculate 15% tips in my head. After getting used to this approach, I could consistently beat friends who were fumbling with their smartphones.

BTW, math majors have a reputation for NOT being able to do mental arithmetic, so being a math major who could do this was a fun and ironic way to defy stereotypes.

Preparation. Memorize the product of each digit with 1.5

  • 1 x 1.5 = 1.5
  • 2 x 1.5 = 3.0
  • 3 x 1.5 = 4.5
  • 4 x 1.5 = 6.0
  • 5 x 1.5 = 7.5
  • 6 x 1.5 = 9.0
  • 7 x 1.5 = 10.5
  • 8 x 1.5 = 12.0
  • 9 x 1.5 = 13.5

Step 1. Round your bill to two significant digits (35.76 -> 36)

Step 2. Recall the product of the first digit with 1.5 (3 x 1.5 = 4.5). The tip is going to be pretty close to the product you recalled (4.50)--you just need to adjust it upwards a bit using the second digit.

Step 3. Recall the product of the second digit with 1.5 (6 x 1.5 = 9), divide the product you recalled by 10 (9 / 10 = 0.9), and add it to the result of Step 2 (4.50 + 0.90 = 5.40) to get your final result.

Congratulations! You've just calculated your 15% tip to within an accuracy of 10 cents. If you want more speed, you can round your bill to just the first significant digit and skip Step 3--this will give you a 15% tip to within an accuracy of 1 dollar. Alternatively, if you want to impress your friends with more accuracy, you can keep more significant digits around and continue adjusting.

Comment author: gjm 10 January 2015 08:30:56PM 0 points [-]

Is this really much easier than shifting the decimal place and then adding half the number? (Rounding at the start if you want, which you probably do.)

Comment author: AmagicalFishy 12 January 2015 03:37:37AM 0 points [-]

Haha, that's what I do.

If my cost is $14.32, I know $1.43 is 10%, and half of that is about $0.71, so the tip's $2.14 (though I tip 20%, which is even easier).

Comment author: gjm 12 January 2015 10:43:56AM 0 points [-]

Right.

In the UK, we have a sales tax called VAT (for "value-added tax"). For a while its rate was 17.5%. The way you work that out is: shift the decimal point (10%), halve (5%), halve again (2.5%), and add up :-).

(Tips in the UK are usually about 10%, so that's a bit easier. And now our VAT rate is 20%.)

Comment author: Elo 10 January 2015 11:55:18PM 0 points [-]

To expand on this method.

Take a number like 1230 10% of that number is 123.0 (found by shifting a decimal place) half of that is 61.5 add that to 123.0 =184.5 = 15%

Comment author: polymathwannabe 13 January 2015 09:37:03PM -2 points [-]

Proposal: give waiters humanly decent salaries so they don't need the tips in the first place.

Comment author: gjm 13 January 2015 10:50:19PM 0 points [-]

I'm strongly in favour of this but there isn't much I can do to make it happen. I imagine robot-dreams is in the same boat.