[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.42,0:00:02.35,Default,,0000,0000,0000,,In this video we are gonna talk a little bit
Dialogue: 0,0:00:02.35,0:00:04.91,Default,,0000,0000,0000,,about order of operations.
Dialogue: 0,0:00:04.91,0:00:06.99,Default,,0000,0000,0000,,And I want you to pay close attention
Dialogue: 0,0:00:06.99,0:00:08.76,Default,,0000,0000,0000,,because, really, EVERYTHING else that
Dialogue: 0,0:00:08.76,0:00:10.79,Default,,0000,0000,0000,,you are gonna do in mathematics is going to be based on
Dialogue: 0,0:00:10.79,0:00:14.52,Default,,0000,0000,0000,,your having a solid grounding in Order of Operations.
Dialogue: 0,0:00:14.52,0:00:15.93,Default,,0000,0000,0000,,So, what are we even talk...mean,
Dialogue: 0,0:00:15.93,0:00:17.55,Default,,0000,0000,0000,,when we say Order of Operations?
Dialogue: 0,0:00:17.55,0:00:18.81,Default,,0000,0000,0000,,So let me give you an example.
Dialogue: 0,0:00:18.81,0:00:21.42,Default,,0000,0000,0000,,The whole point, is so we have one way
Dialogue: 0,0:00:21.42,0:00:23.65,Default,,0000,0000,0000,,to interpret a mathematical statment.
Dialogue: 0,0:00:23.65,0:00:26.24,Default,,0000,0000,0000,,So let‘s say I have the mathematical statement:
Dialogue: 0,0:00:26.24,0:00:32.29,Default,,0000,0000,0000,,7 plus 3, times 5.
Dialogue: 0,0:00:32.29,0:00:36.51,Default,,0000,0000,0000,,Now if we didn't all agree on Order of Operations,
Dialogue: 0,0:00:36.51,0:00:39.34,Default,,0000,0000,0000,,there would be 2 ways of interpreting this statement.
Dialogue: 0,0:00:39.34,0:00:41.42,Default,,0000,0000,0000,,You could just read it left-to-right.
Dialogue: 0,0:00:41.42,0:00:44.51,Default,,0000,0000,0000,,So you could say "well, let me just take 7 + 3."
Dialogue: 0,0:00:44.51,0:00:49.32,Default,,0000,0000,0000,,You could say 7 + 3 and then multiply that times 5 -
Dialogue: 0,0:00:49.32,0:00:53.25,Default,,0000,0000,0000,,and 7+3 is 10.
Dialogue: 0,0:00:53.25,0:00:56.66,Default,,0000,0000,0000,,and then you multiply that by 5.
Dialogue: 0,0:00:56.66,0:00:59.92,Default,,0000,0000,0000,,10 x 5, it would get you 50.
Dialogue: 0,0:00:59.92,0:01:01.64,Default,,0000,0000,0000,,So, that's one way you would interpret it
Dialogue: 0,0:01:01.64,0:01:03.60,Default,,0000,0000,0000,,if we didn't agree on an order of operations -
Dialogue: 0,0:01:03.60,0:01:05.81,Default,,0000,0000,0000,,maybe it's a natural way - you just go left-to-right.
Dialogue: 0,0:01:05.81,0:01:07.25,Default,,0000,0000,0000,,Another way you could interpret it -- you say
Dialogue: 0,0:01:07.25,0:01:10.40,Default,,0000,0000,0000,,"oh, I like to do multiplication before I do addition"
Dialogue: 0,0:01:10.40,0:01:14.40,Default,,0000,0000,0000,,so you might interpret it as - I'll try to color code it -
Dialogue: 0,0:01:14.40,0:01:17.93,Default,,0000,0000,0000,,7+ ... and you do the 3x5 first
Dialogue: 0,0:01:17.93,0:01:24.42,Default,,0000,0000,0000,,7 + 3x5 which would be 7+
Dialogue: 0,0:01:24.42,0:01:32.75,Default,,0000,0000,0000,,3x5 is 15 ... and 7+15 is 22.
Dialogue: 0,0:01:32.75,0:01:35.71,Default,,0000,0000,0000,,So notice we interpreted this statement in two different ways
Dialogue: 0,0:01:35.71,0:01:37.76,Default,,0000,0000,0000,,this was just straight left-to-right,
Dialogue: 0,0:01:37.76,0:01:39.98,Default,,0000,0000,0000,,doing the addition, then the multiplication.
Dialogue: 0,0:01:39.98,0:01:41.92,Default,,0000,0000,0000,,This way, we did the multiplication first,
Dialogue: 0,0:01:41.92,0:01:43.84,Default,,0000,0000,0000,,then the addition. We get 2 different answers.
Dialogue: 0,0:01:43.84,0:01:45.87,Default,,0000,0000,0000,,That's just not cool in mathematics.
Dialogue: 0,0:01:45.87,0:01:50.39,Default,,0000,0000,0000,,If this was part of some effort to send something to the Moon
Dialogue: 0,0:01:50.39,0:01:52.23,Default,,0000,0000,0000,,because 2 people interpreted it a different way
Dialogue: 0,0:01:52.23,0:01:54.11,Default,,0000,0000,0000,,or 1 computer interpreted it one way
Dialogue: 0,0:01:54.11,0:01:55.45,Default,,0000,0000,0000,,and another computer interpreted it another way -
Dialogue: 0,0:01:55.45,0:01:57.30,Default,,0000,0000,0000,,the satellite might go to Mars!
Dialogue: 0,0:01:57.30,0:01:59.40,Default,,0000,0000,0000,,So this is just completely unacceptable,
Dialogue: 0,0:01:59.40,0:02:00.72,Default,,0000,0000,0000,,and that's why we have to have
Dialogue: 0,0:02:00.72,0:02:03.13,Default,,0000,0000,0000,,an agreed upon Order of Operations.
Dialogue: 0,0:02:03.13,0:02:06.64,Default,,0000,0000,0000,,an agreed upon way to interpret this statement.
Dialogue: 0,0:02:06.64,0:02:09.40,Default,,0000,0000,0000,,So, the agreed upon order of operations
Dialogue: 0,0:02:09.40,0:02:11.18,Default,,0000,0000,0000,,is to do parentheses first.
Dialogue: 0,0:02:11.18,0:02:12.93,Default,,0000,0000,0000,,-- let me write it over here --
Dialogue: 0,0:02:12.93,0:02:19.91,Default,,0000,0000,0000,,'parentheses' first. then do exponents.
Dialogue: 0,0:02:19.91,0:02:21.26,Default,,0000,0000,0000,,If you don't know what exponents are,
Dialogue: 0,0:02:21.26,0:02:24.73,Default,,0000,0000,0000,,don't worry about it right now. In this video
Dialogue: 0,0:02:24.73,0:02:27.91,Default,,0000,0000,0000,,we're not going to have exponents in our examples.
Dialogue: 0,0:02:27.91,0:02:30.41,Default,,0000,0000,0000,,So you don't really have to worry about it for this video.
Dialogue: 0,0:02:30.41,0:02:31.97,Default,,0000,0000,0000,,Then you do multiplication -
Dialogue: 0,0:02:31.97,0:02:35.69,Default,,0000,0000,0000,,I'll just write "mult" short for multiplication.
Dialogue: 0,0:02:35.69,0:02:37.93,Default,,0000,0000,0000,,Then you do multiplication and division next.
Dialogue: 0,0:02:37.93,0:02:40.65,Default,,0000,0000,0000,,they kind of have the same level of priority.
Dialogue: 0,0:02:40.65,0:02:47.55,Default,,0000,0000,0000,,And then finally you do addition and subtraction.
Dialogue: 0,0:02:47.55,0:02:49.87,Default,,0000,0000,0000,,So, what is this order of operations?
Dialogue: 0,0:02:49.87,0:02:51.18,Default,,0000,0000,0000,,Let me label it - this right here is,
Dialogue: 0,0:02:51.18,0:02:56.13,Default,,0000,0000,0000,,that is the agreed upon order of operations
Dialogue: 0,0:02:56.13,0:02:58.35,Default,,0000,0000,0000,,and if we follow these order of operations
Dialogue: 0,0:02:58.35,0:03:00.31,Default,,0000,0000,0000,,we should always get to the same answer
Dialogue: 0,0:03:00.31,0:03:02.66,Default,,0000,0000,0000,,for a given statement. So what does this tell us?
Dialogue: 0,0:03:02.66,0:03:05.28,Default,,0000,0000,0000,,What is the best way to interpret this up here?
Dialogue: 0,0:03:05.28,0:03:07.05,Default,,0000,0000,0000,,Well, we have no parentheses -
Dialogue: 0,0:03:07.05,0:03:08.81,Default,,0000,0000,0000,,parentheses look like that,
Dialogue: 0,0:03:08.81,0:03:10.64,Default,,0000,0000,0000,,these little curly things around numbers.
Dialogue: 0,0:03:10.64,0:03:12.33,Default,,0000,0000,0000,,We don't have any parentheses here -
Dialogue: 0,0:03:12.33,0:03:15.11,Default,,0000,0000,0000,,I'll do some examples that do have parentheses.
Dialogue: 0,0:03:15.11,0:03:16.84,Default,,0000,0000,0000,,We don't have any exponents here,
Dialogue: 0,0:03:16.84,0:03:18.98,Default,,0000,0000,0000,,but we do have some multiplication and division
Dialogue: 0,0:03:18.98,0:03:20.85,Default,,0000,0000,0000,,or we actually just have some multiplication.
Dialogue: 0,0:03:20.85,0:03:22.86,Default,,0000,0000,0000,,So the order of operations say
Dialogue: 0,0:03:22.86,0:03:25.35,Default,,0000,0000,0000,,'do the multiplication and division first'.
Dialogue: 0,0:03:25.35,0:03:28.32,Default,,0000,0000,0000,,So it says do the multiplication first -
Dialogue: 0,0:03:28.32,0:03:32.40,Default,,0000,0000,0000,,that's a multiplication. So it says do this operation first.
Dialogue: 0,0:03:32.40,0:03:36.74,Default,,0000,0000,0000,,It gets priority over addition or subtraction.
Dialogue: 0,0:03:36.74,0:03:39.51,Default,,0000,0000,0000,,So if we do this first, we get the three times five,
Dialogue: 0,0:03:39.51,0:03:42.68,Default,,0000,0000,0000,,which is fifteen, and then we add the seven.
Dialogue: 0,0:03:42.68,0:03:44.72,Default,,0000,0000,0000,,The addition or subtraction - I'll do it here
Dialogue: 0,0:03:44.72,0:03:47.87,Default,,0000,0000,0000,,we just have addition - just like that.
Dialogue: 0,0:03:47.87,0:03:49.90,Default,,0000,0000,0000,,So we do the multiplication first, get 15,
Dialogue: 0,0:03:49.90,0:03:52.33,Default,,0000,0000,0000,,then add the 7 ... 22
Dialogue: 0,0:03:52.33,0:03:56.11,Default,,0000,0000,0000,,So based upon the agreed order of operations,
Dialogue: 0,0:03:56.11,0:03:59.38,Default,,0000,0000,0000,,this right here is the correct answer -
Dialogue: 0,0:03:59.38,0:04:01.59,Default,,0000,0000,0000,,the correct way to interpret this statement.
Dialogue: 0,0:04:01.59,0:04:03.48,Default,,0000,0000,0000,,Let's do another example.
Dialogue: 0,0:04:03.48,0:04:08.08,Default,,0000,0000,0000,,I think it'll make things a little bit more clear.
Dialogue: 0,0:04:08.08,0:04:10.47,Default,,0000,0000,0000,,And I'll do the example in pink.
Dialogue: 0,0:04:10.47,0:04:17.93,Default,,0000,0000,0000,,So let's say I have 7+3
Dialogue: 0,0:04:17.93,0:04:19.87,Default,,0000,0000,0000,,- put some parentheses there -
Dialogue: 0,0:04:19.87,0:04:30.65,Default,,0000,0000,0000,,x 4 divided by 2 - 5 x 6.
Dialogue: 0,0:04:30.65,0:04:32.44,Default,,0000,0000,0000,,So there's all sorts of crazy things here,
Dialogue: 0,0:04:32.44,0:04:34.84,Default,,0000,0000,0000,,but if you just follow the Order of Operations,
Dialogue: 0,0:04:34.84,0:04:37.77,Default,,0000,0000,0000,,you'll simplify it in a very clean way
Dialogue: 0,0:04:37.77,0:04:39.41,Default,,0000,0000,0000,,and hopefully we'll all get the same answer.
Dialogue: 0,0:04:39.41,0:04:41.63,Default,,0000,0000,0000,,So let's just follow the order of operations.
Dialogue: 0,0:04:41.63,0:04:43.75,Default,,0000,0000,0000,,The first thing we have to do is look for parentheses.
Dialogue: 0,0:04:43.75,0:04:46.02,Default,,0000,0000,0000,,Are there parentheses here? Yes, there are!
Dialogue: 0,0:04:46.02,0:04:48.80,Default,,0000,0000,0000,,There's parentheses around the 7+3.
Dialogue: 0,0:04:48.80,0:04:53.94,Default,,0000,0000,0000,,So it says, "lets do that first". So 7+3 is 10.
Dialogue: 0,0:04:53.94,0:04:55.34,Default,,0000,0000,0000,,So this we can simplify
Dialogue: 0,0:04:55.34,0:04:57.18,Default,,0000,0000,0000,,- just looking at this order of operations -
Dialogue: 0,0:04:57.18,0:05:01.26,Default,,0000,0000,0000,,to 10 times all of that. Let me copy and paste that,
Dialogue: 0,0:05:01.26,0:05:03.100,Default,,0000,0000,0000,,so I don't have to keep rewriting it.
Dialogue: 0,0:05:03.100,0:05:06.87,Default,,0000,0000,0000,,So, let me copy. Let me paste it.
Dialogue: 0,0:05:06.87,0:05:10.08,Default,,0000,0000,0000,,So that simplifies to ten times all of that -
Dialogue: 0,0:05:10.08,0:05:13.33,Default,,0000,0000,0000,,we did our parentheses first. Then what do we do?
Dialogue: 0,0:05:13.33,0:05:15.36,Default,,0000,0000,0000,,There are no more parentheses in this expression.
Dialogue: 0,0:05:15.36,0:05:16.69,Default,,0000,0000,0000,,Then we should do exponents.
Dialogue: 0,0:05:16.69,0:05:18.20,Default,,0000,0000,0000,,I don't see any exponents here.
Dialogue: 0,0:05:18.20,0:05:20.14,Default,,0000,0000,0000,,and just so if you are curious what exponents would look like
Dialogue: 0,0:05:20.14,0:05:21.42,Default,,0000,0000,0000,,an exponent would look like
Dialogue: 0,0:05:21.42,0:05:23.15,Default,,0000,0000,0000,,- you know, seven squared -
Dialogue: 0,0:05:23.15,0:05:25.70,Default,,0000,0000,0000,,You'd see these little small numbers up in the top right.
Dialogue: 0,0:05:25.70,0:05:27.07,Default,,0000,0000,0000,,We don't have any exponents here,
Dialogue: 0,0:05:27.07,0:05:27.94,Default,,0000,0000,0000,,so we don't have to worry about it.
Dialogue: 0,0:05:27.94,0:05:32.74,Default,,0000,0000,0000,,Then it says to do multiplication and division next.
Dialogue: 0,0:05:32.74,0:05:34.20,Default,,0000,0000,0000,,So where do we see multiplication -
Dialogue: 0,0:05:34.20,0:05:38.83,Default,,0000,0000,0000,,we have a multiplication, a division, a multiplication again.
Dialogue: 0,0:05:38.83,0:05:43.80,Default,,0000,0000,0000,,Now, when you have multiple operations at the same level
Dialogue: 0,0:05:43.80,0:05:46.16,Default,,0000,0000,0000,,and in our order of operations, multiplication and division
Dialogue: 0,0:05:46.16,0:05:50.48,Default,,0000,0000,0000,,are at the same level - then you do left-to-right.
Dialogue: 0,0:05:50.48,0:05:54.14,Default,,0000,0000,0000,,So in this situation, you're going to multiply by 4
Dialogue: 0,0:05:54.14,0:05:59.17,Default,,0000,0000,0000,,and then divide by 2. You won't multiply by 4 divided by 2.
Dialogue: 0,0:05:59.17,0:06:03.72,Default,,0000,0000,0000,,Then we'll do the 5 times 6 before we do the subtraction,
Dialogue: 0,0:06:03.72,0:06:06.50,Default,,0000,0000,0000,,right here. So let's figure out what this is.
Dialogue: 0,0:06:06.50,0:06:08.98,Default,,0000,0000,0000,,So we'll do this multiplication first.
Dialogue: 0,0:06:08.98,0:06:10.43,Default,,0000,0000,0000,,We'll do that multiplication first -
Dialogue: 0,0:06:10.43,0:06:12.42,Default,,0000,0000,0000,,we could simultaneously do this multiplication
Dialogue: 0,0:06:12.42,0:06:13.77,Default,,0000,0000,0000,,cause it's not going to change things,
Dialogue: 0,0:06:13.77,0:06:16.05,Default,,0000,0000,0000,,but I'll do things one step at a time.
Dialogue: 0,0:06:16.05,0:06:20.11,Default,,0000,0000,0000,,So the next step we're going to do is this 10x4.
Dialogue: 0,0:06:20.11,0:06:25.73,Default,,0000,0000,0000,,10x4 is 40
Dialogue: 0,0:06:25.73,0:06:28.43,Default,,0000,0000,0000,,Then you have 40 divided by 2
Dialogue: 0,0:06:28.43,0:06:32.20,Default,,0000,0000,0000,,- let me copy and paste all of that again -
Dialogue: 0,0:06:32.20,0:06:34.41,Default,,0000,0000,0000,,Then it simplifies to that right there.
Dialogue: 0,0:06:34.41,0:06:35.99,Default,,0000,0000,0000,,Remember multiplication and division,
Dialogue: 0,0:06:35.99,0:06:38.43,Default,,0000,0000,0000,,they are at the exact same level -
Dialogue: 0,0:06:38.43,0:06:40.00,Default,,0000,0000,0000,,so we're going to do it left-to-right.
Dialogue: 0,0:06:40.00,0:06:43.01,Default,,0000,0000,0000,,You xould also express this as multiplying by one-half
Dialogue: 0,0:06:43.01,0:06:45.51,Default,,0000,0000,0000,,and then it wouldn't matter the order. But for simplicity
Dialogue: 0,0:06:45.51,0:06:49.33,Default,,0000,0000,0000,,multiplication / division go left-to-right.
Dialogue: 0,0:06:49.33,0:06:53.12,Default,,0000,0000,0000,,So then you have 40 divided by 2 minus 5 times 6.
Dialogue: 0,0:06:53.12,0:06:55.21,Default,,0000,0000,0000,,So, division - you just have 1 division here -
Dialogue: 0,0:06:55.21,0:06:57.68,Default,,0000,0000,0000,,You want to do that. This is going to take...
Dialogue: 0,0:06:57.68,0:07:00.18,Default,,0000,0000,0000,,You have this division and this multiplication.
Dialogue: 0,0:07:00.18,0:07:01.23,Default,,0000,0000,0000,,They are not together.
Dialogue: 0,0:07:01.23,0:07:03.67,Default,,0000,0000,0000,,So you can actually kind of do them simultaneously.
Dialogue: 0,0:07:03.67,0:07:07.02,Default,,0000,0000,0000,,And to make it clear that you do this before you do the subtraction,
Dialogue: 0,0:07:07.02,0:07:11.60,Default,,0000,0000,0000,,because multiplication/division take priority over addition/subtraction
Dialogue: 0,0:07:11.60,0:07:13.19,Default,,0000,0000,0000,,we can put parentheses around them.
Dialogue: 0,0:07:13.19,0:07:16.39,Default,,0000,0000,0000,,Just say "look, we're gonna do that and that first,
Dialogue: 0,0:07:16.39,0:07:18.43,Default,,0000,0000,0000,,BEFORE I do that subtraction"
Dialogue: 0,0:07:18.43,0:07:22.36,Default,,0000,0000,0000,,because multiplication / division have priority.
Dialogue: 0,0:07:22.36,0:07:25.48,Default,,0000,0000,0000,,So 40 divided by 2 is 20.
Dialogue: 0,0:07:25.48,0:07:27.32,Default,,0000,0000,0000,,We're going to have that minus sign.
Dialogue: 0,0:07:27.32,0:07:31.07,Default,,0000,0000,0000,,-5 times 6 is 30.
Dialogue: 0,0:07:31.07,0:07:35.67,Default,,0000,0000,0000,,20 minus 30 is equal to negative 10.
Dialogue: 0,0:07:35.67,0:07:39.01,Default,,0000,0000,0000,,And that is the correct interpretation of that.
Dialogue: 0,0:07:39.01,0:07:41.04,Default,,0000,0000,0000,,So I want to make something very, very, very clear:
Dialogue: 0,0:07:41.04,0:07:45.67,Default,,0000,0000,0000,,if you have things at the same level
Dialogue: 0,0:07:45.67,0:07:51.92,Default,,0000,0000,0000,,so if you have 1 + 2 - 3 + 4 - 1
Dialogue: 0,0:07:51.92,0:07:55.25,Default,,0000,0000,0000,,so addition and subtraction are at the same level
Dialogue: 0,0:07:55.25,0:07:58.35,Default,,0000,0000,0000,,in order of operations - you should go left-to-right.
Dialogue: 0,0:07:58.35,0:08:01.46,Default,,0000,0000,0000,,You should interpret this as 1+2 is 3.
Dialogue: 0,0:08:01.46,0:08:05.87,Default,,0000,0000,0000,,So this is the same thing as 3 - 3 + 4 - 1.
Dialogue: 0,0:08:05.87,0:08:10.32,Default,,0000,0000,0000,,Then you do 3 - 3 is 0, + 4, - 1.
Dialogue: 0,0:08:10.32,0:08:13.42,Default,,0000,0000,0000,,OR this is the same thing as 4 - 1
Dialogue: 0,0:08:13.42,0:08:16.68,Default,,0000,0000,0000,,which is the same thing as 3 - you just go left to right.
Dialogue: 0,0:08:16.68,0:08:20.53,Default,,0000,0000,0000,,Same thing if you have multiplication and division
Dialogue: 0,0:08:20.53,0:08:22.67,Default,,0000,0000,0000,,all on the same level.
Dialogue: 0,0:08:22.67,0:08:29.40,Default,,0000,0000,0000,,So if you have 4x2, divided by 3, times 2,
Dialogue: 0,0:08:29.40,0:08:35.34,Default,,0000,0000,0000,,you do 4x2 is 8, divided by 3, times 2
Dialogue: 0,0:08:35.34,0:08:39.34,Default,,0000,0000,0000,,and you say 8 divided by 3 is - well you get a fraction there -
Dialogue: 0,0:08:39.34,0:08:44.35,Default,,0000,0000,0000,,it would be 8/3. So this would be 8/3 times 2.
Dialogue: 0,0:08:44.35,0:08:50.86,Default,,0000,0000,0000,,And 8/3 times 2 is equal to 16/3.
Dialogue: 0,0:08:50.86,0:08:53.36,Default,,0000,0000,0000,,THAT's how you interpret it - you don't do this multiplication first,
Dialogue: 0,0:08:53.36,0:08:56.34,Default,,0000,0000,0000,,and then divide the 2 by that, and all of that.
Dialogue: 0,0:08:56.34,0:08:59.82,Default,,0000,0000,0000,,Now the one time you can be loosey-goosey with order of operations
Dialogue: 0,0:08:59.82,0:09:03.18,Default,,0000,0000,0000,,is if you have ALL addition or ALL multiplication.
Dialogue: 0,0:09:03.18,0:09:08.71,Default,,0000,0000,0000,,So if you have 1+5+7+3+2
Dialogue: 0,0:09:08.71,0:09:11.05,Default,,0000,0000,0000,,does not matter what order you do it in.
Dialogue: 0,0:09:11.05,0:09:12.27,Default,,0000,0000,0000,,You could do the two plus three;
Dialogue: 0,0:09:12.27,0:09:13.56,Default,,0000,0000,0000,,you could go from the right to the left;
Dialogue: 0,0:09:13.56,0:09:14.54,Default,,0000,0000,0000,,you could go from the left to the right;
Dialogue: 0,0:09:14.54,0:09:15.89,Default,,0000,0000,0000,,you could start some place in between -
Dialogue: 0,0:09:15.89,0:09:18.34,Default,,0000,0000,0000,,if it's ONLY all addition -
Dialogue: 0,0:09:18.34,0:09:20.99,Default,,0000,0000,0000,,and the same thing is true if you have ALL mutliplication -
Dialogue: 0,0:09:20.99,0:09:24.93,Default,,0000,0000,0000,,if it's 1 times 5 , times 7, times 3, times 2
Dialogue: 0,0:09:24.93,0:09:28.19,Default,,0000,0000,0000,,does not matter what order you are doing it in.
Dialogue: 0,0:09:28.19,0:09:32.14,Default,,0000,0000,0000,,That's only with all multiplication OR all addition.
Dialogue: 0,0:09:32.14,0:09:34.68,Default,,0000,0000,0000,,If there's some division in here or some subtraction in here,
Dialogue: 0,0:09:34.68,0:09:39.27,Default,,0000,0000,0000,,you're best off just going left-to-right.