[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.57,0:00:04.59,Default,,0000,0000,0000,,Use the commutative law of\Naddition-- let me underline
Dialogue: 0,0:00:04.59,0:00:07.97,Default,,0000,0000,0000,,that-- the commutative law\Nof addition to write the
Dialogue: 0,0:00:07.97,0:00:12.51,Default,,0000,0000,0000,,expression 5 plus 8 plus 5\Nin a different way and
Dialogue: 0,0:00:12.51,0:00:13.47,Default,,0000,0000,0000,,then find the sum.
Dialogue: 0,0:00:13.47,0:00:16.55,Default,,0000,0000,0000,,Now, this commutative law of\Naddition sounds like a very
Dialogue: 0,0:00:16.55,0:00:19.79,Default,,0000,0000,0000,,fancy thing, but all it means\Nis if you're just adding a
Dialogue: 0,0:00:19.79,0:00:23.68,Default,,0000,0000,0000,,bunch of numbers, it doesn't\Nmatter what order you add the
Dialogue: 0,0:00:23.68,0:00:24.50,Default,,0000,0000,0000,,numbers in.
Dialogue: 0,0:00:24.50,0:00:29.09,Default,,0000,0000,0000,,So we could add it as\N5 plus 8 plus 5.
Dialogue: 0,0:00:29.09,0:00:33.99,Default,,0000,0000,0000,,We could order it as\N5 plus 5 plus 8.
Dialogue: 0,0:00:33.99,0:00:38.14,Default,,0000,0000,0000,,We could order it\N8 plus 5 plus 5.
Dialogue: 0,0:00:38.14,0:00:40.75,Default,,0000,0000,0000,,These are all going to add up\Nto the same things, and it
Dialogue: 0,0:00:40.75,0:00:41.24,Default,,0000,0000,0000,,makes sense.
Dialogue: 0,0:00:41.24,0:00:43.75,Default,,0000,0000,0000,,If I have 5 of something and\Nthen I add 8 more and then I
Dialogue: 0,0:00:43.75,0:00:46.25,Default,,0000,0000,0000,,add 5 more, I'm going to get\Nthe same thing as if I had
Dialogue: 0,0:00:46.25,0:00:49.28,Default,,0000,0000,0000,,took 5 of something, then added\Nthe 5, then added the 8.
Dialogue: 0,0:00:49.28,0:00:50.27,Default,,0000,0000,0000,,You could try all\Nof these out.
Dialogue: 0,0:00:50.27,0:00:51.77,Default,,0000,0000,0000,,You'll get the same thing.
Dialogue: 0,0:00:51.77,0:00:54.42,Default,,0000,0000,0000,,Now, they say in a different\Nway, and then find the sum.
Dialogue: 0,0:00:54.42,0:00:56.48,Default,,0000,0000,0000,,The easiest one to find the sum\Nof-- actually, let's do
Dialogue: 0,0:00:56.48,0:00:56.95,Default,,0000,0000,0000,,all of them.
Dialogue: 0,0:00:56.95,0:00:59.11,Default,,0000,0000,0000,,But the easiest one, just\Nbecause a lot of people
Dialogue: 0,0:00:59.11,0:01:02.66,Default,,0000,0000,0000,,immediately know that 5 plus 5\Nis 10, is to maybe start with
Dialogue: 0,0:01:02.66,0:01:04.15,Default,,0000,0000,0000,,the 5 plus 5.
Dialogue: 0,0:01:04.15,0:01:06.98,Default,,0000,0000,0000,,So if you have 5 plus\N5, that's 10, plus
Dialogue: 0,0:01:06.98,0:01:09.69,Default,,0000,0000,0000,,8 is equal to 18.
Dialogue: 0,0:01:09.69,0:01:13.37,Default,,0000,0000,0000,,Now, let's verify that these two\Nare the same exact thing.
Dialogue: 0,0:01:13.37,0:01:17.04,Default,,0000,0000,0000,,Up here, 5 plus 8 is 13.
Dialogue: 0,0:01:17.04,0:01:20.84,Default,,0000,0000,0000,,13 plus 5 is also 18.
Dialogue: 0,0:01:20.84,0:01:22.52,Default,,0000,0000,0000,,That is also 18.
Dialogue: 0,0:01:22.52,0:01:25.55,Default,,0000,0000,0000,,If we go down here,\N8 plus 5 is 13.
Dialogue: 0,0:01:25.55,0:01:28.72,Default,,0000,0000,0000,,13 plus 5 is also equal to 18.
Dialogue: 0,0:01:28.72,0:01:30.90,Default,,0000,0000,0000,,So no matter how you do it and\Nno matter what order you do it
Dialogue: 0,0:01:30.90,0:01:33.42,Default,,0000,0000,0000,,in-- and that's the commutative\Nlaw of addition.
Dialogue: 0,0:01:33.42,0:01:35.79,Default,,0000,0000,0000,,It sounds very fancy, but it\Njust means that order doesn't
Dialogue: 0,0:01:35.79,0:01:39.37,Default,,0000,0000,0000,,matter if you're adding\Na bunch of things.