[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.61,0:00:02.33,Default,,0000,0000,0000,,I've got five numbers here
Dialogue: 0,0:00:02.33,0:00:08.71,Default,,0000,0000,0000,,and the goal is to order them from least to greatest.
Dialogue: 0,0:00:08.71,0:00:10.24,Default,,0000,0000,0000,,And it might be obvious to you
Dialogue: 0,0:00:10.24,0:00:13.08,Default,,0000,0000,0000,,that all five of these numbers are negative numbers.
Dialogue: 0,0:00:13.08,0:00:16.73,Default,,0000,0000,0000,,So let's just think about which of these is the greatest number.
Dialogue: 0,0:00:16.73,0:00:18.73,Default,,0000,0000,0000,,And you might be tempted to say:
Dialogue: 0,0:00:18.73,0:00:21.05,Default,,0000,0000,0000,,"Ah well, you know - 40 - if these were all positive:
Dialogue: 0,0:00:21.05,0:00:22.14,Default,,0000,0000,0000,,40 would be the greatest."
Dialogue: 0,0:00:22.14,0:00:24.76,Default,,0000,0000,0000,,So you might be tempted to say "negative 40 is the greatest."
Dialogue: 0,0:00:24.76,0:00:28.24,Default,,0000,0000,0000,,But you have to realize what the negative is telling you.
Dialogue: 0,0:00:28.24,0:00:30.13,Default,,0000,0000,0000,,And think about that, think about...
Dialogue: 0,0:00:30.13,0:00:33.47,Default,,0000,0000,0000,,if these were your dollar amounts in your bank account...
Dialogue: 0,0:00:33.47,0:00:36.23,Default,,0000,0000,0000,,...would you rather have negative $40 in your bank account
Dialogue: 0,0:00:36.23,0:00:39.00,Default,,0000,0000,0000,,or negative $7 in your bank account?
Dialogue: 0,0:00:39.00,0:00:42.56,Default,,0000,0000,0000,,Negative 40 means that you owe the bank $40,
Dialogue: 0,0:00:42.56,0:00:44.87,Default,,0000,0000,0000,,so it's $40 less than having nothing.
Dialogue: 0,0:00:44.87,0:00:48.67,Default,,0000,0000,0000,,Negative 7 would mean that you owed the bank only $7,
Dialogue: 0,0:00:48.67,0:00:53.07,Default,,0000,0000,0000,,so it's actually the case that -40 is less than -7, and
Dialogue: 0,0:00:53.07,0:00:56.75,Default,,0000,0000,0000,,out of all of these numbers, it is the least of all of them.
Dialogue: 0,0:00:56.75,0:00:58.79,Default,,0000,0000,0000,,So -40 is the very least,
Dialogue: 0,0:00:58.79,0:01:00.84,Default,,0000,0000,0000,,and you can view that as the least amount of money
Dialogue: 0,0:01:00.84,0:01:04.09,Default,,0000,0000,0000,,that you would want, out of these comparisons,
Dialogue: 0,0:01:04.09,0:01:05.84,Default,,0000,0000,0000,,in your bank account, or the smallest amount of money.
Dialogue: 0,0:01:05.84,0:01:07.22,Default,,0000,0000,0000,,You owe the bank $40.
Dialogue: 0,0:01:07.22,0:01:09.60,Default,,0000,0000,0000,,Not only do you have nothing, you {\i1}owe{\i0} the bank $40.
Dialogue: 0,0:01:09.60,0:01:15.07,Default,,0000,0000,0000,,Then the next smallest number would be -30,
Dialogue: 0,0:01:15.07,0:01:20.53,Default,,0000,0000,0000,,and then the next smallest after that would be -25,
Dialogue: 0,0:01:22.09,0:01:27.98,Default,,0000,0000,0000,,and then the next smallest after that would be -10,
Dialogue: 0,0:01:28.47,0:01:31.57,Default,,0000,0000,0000,,and then finally the greatest of all of these numbers
Dialogue: 0,0:01:31.57,0:01:34.67,Default,,0000,0000,0000,,(--the greatest, and I will do it in pink--)
Dialogue: 0,0:01:34.67,0:01:37.92,Default,,0000,0000,0000,,...the greatest of all of these numbers is -7.
Dialogue: 0,0:01:37.92,0:01:39.66,Default,,0000,0000,0000,,And if it's still not obvious to you,
Dialogue: 0,0:01:39.66,0:01:40.96,Default,,0000,0000,0000,,you could also think of them in temperature,
Dialogue: 0,0:01:40.96,0:01:41.99,Default,,0000,0000,0000,,in temperature terms.
Dialogue: 0,0:01:41.99,0:01:43.78,Default,,0000,0000,0000,,Which of these is the coldest temperature?
Dialogue: 0,0:01:43.78,0:01:46.20,Default,,0000,0000,0000,,(whether you're talking about Celsius or Fahrenheit)
Dialogue: 0,0:01:46.20,0:01:48.63,Default,,0000,0000,0000,,{\i1}-40{\i0} would be the coldest temperature,
Dialogue: 0,0:01:48.63,0:01:51.07,Default,,0000,0000,0000,,and -7 would be the warmest temperature.
Dialogue: 0,0:01:51.07,0:01:54.20,Default,,0000,0000,0000,,There would be the most heat in the air at -7.
Dialogue: 0,0:01:54.20,0:01:57.60,Default,,0000,0000,0000,,Another way to think about it is we could draw a number-line.
Dialogue: 0,0:01:57.60,0:02:00.53,Default,,0000,0000,0000,,--So let's draw a number line right over here--
Dialogue: 0,0:02:00.53,0:02:04.58,Default,,0000,0000,0000,,If this is a zero, and you know, we could put maybe +7 up here,
Dialogue: 0,0:02:04.58,0:02:06.62,Default,,0000,0000,0000,,+7 isn't one of these numbers,
Dialogue: 0,0:02:06.62,0:02:08.53,Default,,0000,0000,0000,,but we can plot all the other numbers.
Dialogue: 0,0:02:08.53,0:02:11.46,Default,,0000,0000,0000,,So this right here might be -7.
Dialogue: 0,0:02:11.46,0:02:15.46,Default,,0000,0000,0000,,If that's -7 then maybe this right over here would be -10.
Dialogue: 0,0:02:15.46,0:02:19.38,Default,,0000,0000,0000,,Notice we go further and further to the left of the zero,
Dialogue: 0,0:02:19.38,0:02:25.00,Default,,0000,0000,0000,,and then we go a little bit further to the left we get -25...
Dialogue: 0,0:02:25.00,0:02:29.39,Default,,0000,0000,0000,,A little bit further to the left than that is -30.
Dialogue: 0,0:02:29.39,0:02:36.53,Default,,0000,0000,0000,,Then you go even further to the left and you get to -40.
Dialogue: 0,0:02:36.53,0:02:38.12,Default,,0000,0000,0000,,If you think about it this way,
Dialogue: 0,0:02:38.12,0:02:40.84,Default,,0000,0000,0000,,the least of these numbers is the one that's furthest to the left
Dialogue: 0,0:02:40.84,0:02:42.07,Default,,0000,0000,0000,,on the number line,
Dialogue: 0,0:02:42.07,0:02:45.51,Default,,0000,0000,0000,,and the greatest is the one furthest to the right.