How do you tell if a number can be divided by 7? Check out this "divisibility graph" from David Wilson writing at Tanya Khovanova's Math Blog.
This method ends up working out kind of like a kids board game like "Chutes and Ladders" where you go 2 steps forward and then 3 back.
Here's the quick directions:
Break your number down into digits.
Start at the red zero. Go counterclockwise as many red dots as the leftmost digit of your number of interest.
Follow the arrow to another red dot.
Repeat steps 2 and 3 for all the remaining digits.
For the last digit, skip step 3. The number in the red dot is your remainder.
For example, if you want to find out if 234 is divisible by 7, you start at 0, then go to 2 (for the first digit), and then follow the arrow to 6. Now go 3 more dots back to 2, and the follow the arrow to 6 again. Lastly, go 4 dots around to 3, and skip the last jump. So your remainder is 3. You can confirm this with long division: 234 divided by 7 is 33r3.
If you follow the pointers from Art DuPre in the comments, it turns out you can do this for any number. I did it for 13 without any trouble, and the programmed the method without a diagram into Excel. Cool.
Basically, if it's a clause you'd put between commas because it could be excluded from the sentence, then you use "which". But if it's a clause that can't be excluded from the sentence, then you use "that".
And yet they came up for me on YouTube twice this morning.
First I was reading this Washington Post piece entitled “All that Jazz Isn’t All that Great” by Justin Moyer. He makes a number of good points that sum up my view: I love jazz, but most of it sucks. Anyway, he makes one of his points by linking to this video of the song with vocals from the movie Reveille with Beverly:
Then I continue to slowly browse through videos of 1977’s The Richard Pryor Show. And in this recording of the first episode, the lyrics are vamped around the 41 minute mark:
It’s called Bir Tawil. It’s 800 square miles of really lousy-looking desert in the Sahara.
There are two borders between Egypt and Sudan. Egypt likes the one drawn in 1899. Sudan likes the one from 1902.
On this map, Egypt likes the straight horizontal border. Sudan likes the jagged diagonal one with the little loop on the left side. This means both countries claim the green triangle, and neither one wants the little black smudge.
How many junior senators* have been elected president?
Three: John F. Kennedy, Warren Harding and … Barack Obama.
The first is regarded as great only by the underinformed (polls tend to rank him highly). Most people with some expertise regard Kennedy as merely pretty good (in Wikipedia’s summary of 16 historical rankings, Kennedy is never higher than the 86th percentile, or lower than the 62nd percentile).
And Harding? Pretty much always on everyone’s list of the worst presidents (Wikipedia lists 16 rankings that include both Harding and Nixon, and all but one has Harding rated lower … yikes … with 17th as the highest percentile).
Not sure if this evidence can tell us anything about Obama.
* The junior senator of a state is the one with less seniority.
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