WEBVTT 00:00:00.808 --> 00:00:05.740 Let's think about what it means to add numbers. 00:00:05.740 --> 00:00:14.674 So let's start with one. One plus -- one plus one. 00:00:14.674 --> 00:00:18.301 What is this going to be equal to? 00:00:19.207 --> 00:00:24.097 One way to think about this is we have one thing. 00:00:24.097 --> 00:00:28.953 And I will -- that thing will be a purple circle. 00:00:28.953 --> 00:00:31.497 So let me put that here. 00:00:31.497 --> 00:00:33.427 So that's this 1 thing. 00:00:33.427 --> 00:00:35.512 I'm just going to represent it with a purple circle. 00:00:35.529 --> 00:00:37.479 And I'm going to add another 1 thing. 00:00:37.479 --> 00:00:40.069 And since this is in blue, I'll make that other circle. 00:00:40.069 --> 00:00:41.835 I'll make that in blue as well. 00:00:42.277 --> 00:00:44.802 So, let me put that right over here. 00:00:45.314 --> 00:00:48.185 So, 1 plus 1. 1 plus 1. 00:00:48.384 --> 00:00:51.642 How many total circles do I now have? 00:00:51.848 --> 00:00:54.529 Well, I now have 2 circles. 00:00:55.030 --> 00:00:57.666 I now have 2 circles. 00:00:57.994 --> 00:01:04.226 1 plus 1 is equal to 2. 00:01:04.649 --> 00:01:07.910 OK, you're saying, "All right, Sal, that makes sense." 00:01:07.920 --> 00:01:11.167 Let's do this with larger numbers. 00:01:11.419 --> 00:01:14.941 So let's say we want to know what equals-- 00:01:14.948 --> 00:01:18.673 and I'll put a question mark over here. So, question mark. 00:01:19.013 --> 00:01:20.783 What equals -- 00:01:20.793 --> 00:01:34.029 So something is equal to, let's say, 2, 2, 2 plus 3. 00:01:34.029 --> 00:01:38.077 Something is equal to 2 plus 3. 00:01:38.077 --> 00:01:41.431 What is this something going to be? 00:01:41.751 --> 00:01:45.530 And I encourage you to pause the video and think about it on your own. 00:01:46.234 --> 00:01:48.879 Well, you can view this as, I have 2 objects, 00:01:48.879 --> 00:01:51.131 and then I am going to add another 3 objects. 00:01:51.131 --> 00:01:54.116 How many total objects would I have? 00:01:54.116 --> 00:02:01.062 So you have your 2 objects, which I'll use purple circles again. 00:02:01.071 --> 00:02:02.430 So let me -- 00:02:02.988 --> 00:02:09.396 Let me, so we have 1 and 2 purple circles. 00:02:09.396 --> 00:02:11.066 This is the 2 right over here. 00:02:11.066 --> 00:02:14.074 And then to that, we're going to add 3 more. 00:02:14.083 --> 00:02:15.665 3 more circles. 00:02:15.665 --> 00:02:19.766 And I'll represent those in blue, because we wrote the 3 there in blue. 00:02:20.155 --> 00:02:28.366 So that is 1, 2, and 3. 00:02:29.542 --> 00:02:33.212 So how many total circles do we now have? 00:02:33.714 --> 00:02:38.599 Well, we can count them. We have 1,2,3,4,5. 00:02:38.599 --> 00:02:45.023 In fact, let me count that. 1,2,3,4,5 circles. 00:02:45.282 --> 00:02:46.806 So 2 plus 3 00:02:46.806 --> 00:02:50.799 2 things plus another 3 things are 5 things. 00:02:50.799 --> 00:02:54.799 So our question mark over here is equal to 5. 00:02:55.049 --> 00:02:56.821 So, instead of writing the question mark 00:02:56.821 --> 00:02:59.699 right over here, let me clear that out. 00:02:59.699 --> 00:03:02.236 I could say 5 is equal to -- 00:03:02.733 --> 00:03:09.728 I could write down that 5 is equal to 2 plus 3.