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negative<00:00:02.100><c> numbers</c><00:00:02.490><c> are</c><00:00:02.730><c> any</c><00:00:03.000><c> number</c><00:00:03.449><c> less</c>

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negative numbers are any number less
 

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negative numbers are any number less
than<00:00:03.720><c> zero</c><00:00:04.850><c> imagining</c><00:00:05.850><c> something</c><00:00:06.089><c> less</c><00:00:06.569><c> than</c>

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than zero imagining something less than
 

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than zero imagining something less than
zero<00:00:07.109><c> can</c><00:00:07.560><c> be</c><00:00:07.589><c> difficult</c><00:00:08.540><c> suppose</c><00:00:09.540><c> you</c><00:00:09.690><c> have</c><00:00:09.870><c> a</c>

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zero can be difficult suppose you have a
 

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zero can be difficult suppose you have a
bowl<00:00:10.139><c> of</c><00:00:10.260><c> oranges</c><00:00:10.440><c> and</c><00:00:10.920><c> someone</c><00:00:11.670><c> takes</c><00:00:11.880><c> them</c>

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bowl of oranges and someone takes them
 

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bowl of oranges and someone takes them
away<00:00:12.330><c> until</c><00:00:12.840><c> you</c><00:00:12.960><c> have</c><00:00:13.170><c> zero</c><00:00:13.440><c> left</c><00:00:13.740><c> when</c>

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away until you have zero left when
 

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away until you have zero left when
there's<00:00:14.910><c> nothing</c><00:00:15.299><c> it's</c><00:00:15.750><c> hard</c><00:00:16.020><c> to</c><00:00:16.139><c> imagine</c>

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there's nothing it's hard to imagine
 

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there's nothing it's hard to imagine
being<00:00:16.770><c> able</c><00:00:16.920><c> to</c><00:00:17.070><c> take</c><00:00:17.340><c> away</c><00:00:17.580><c> more</c><00:00:18.080><c> however</c>

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being able to take away more however
 

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being able to take away more however
there<00:00:19.529><c> are</c><00:00:19.770><c> instances</c><00:00:19.800><c> in</c><00:00:20.520><c> real</c><00:00:20.850><c> life</c><00:00:21.090><c> where</c>

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there are instances in real life where
 

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there are instances in real life where
we<00:00:21.660><c> use</c><00:00:21.869><c> numbers</c><00:00:22.260><c> less</c><00:00:22.500><c> than</c><00:00:22.710><c> zero</c><00:00:22.980><c> for</c>

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we use numbers less than zero for
 

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we use numbers less than zero for
example<00:00:24.240><c> did</c><00:00:25.199><c> you</c><00:00:25.230><c> know</c><00:00:25.470><c> the</c><00:00:25.619><c> average</c>

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example did you know the average
 

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example did you know the average
temperatures<00:00:26.640><c> at</c><00:00:26.910><c> the</c><00:00:27.029><c> top</c><00:00:27.240><c> of</c><00:00:27.420><c> Mount</c><00:00:27.630><c> Everest</c>

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temperatures at the top of Mount Everest
 

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temperatures at the top of Mount Everest
range<00:00:28.590><c> from</c><00:00:28.769><c> negative</c><00:00:29.189><c> 19</c><00:00:29.670><c> degrees</c><00:00:29.849><c> Celsius</c>

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range from negative 19 degrees Celsius
 

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range from negative 19 degrees Celsius
to<00:00:30.960><c> negative</c><00:00:31.320><c> 36</c><00:00:31.830><c> degrees</c><00:00:32.189><c> Celsius</c><00:00:32.640><c> wow</c>

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to negative 36 degrees Celsius wow
 

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to negative 36 degrees Celsius wow
that's<00:00:33.750><c> cold</c><00:00:34.610><c> negative</c><00:00:35.610><c> numbers</c><00:00:35.940><c> also</c><00:00:36.270><c> appear</c>

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that's cold negative numbers also appear
 

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that's cold negative numbers also appear
a<00:00:36.780><c> lot</c><00:00:36.960><c> in</c><00:00:37.170><c> finances</c><00:00:37.890><c> to</c><00:00:38.129><c> show</c><00:00:38.340><c> debt</c><00:00:38.899><c> suppose</c>

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a lot in finances to show debt suppose
 

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a lot in finances to show debt suppose
you<00:00:40.079><c> have</c><00:00:40.260><c> 50</c><00:00:40.620><c> dollars</c><00:00:40.739><c> in</c><00:00:41.070><c> your</c><00:00:41.190><c> bank</c><00:00:41.250><c> account</c>

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you have 50 dollars in your bank account
 

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you have 50 dollars in your bank account
but<00:00:42.120><c> then</c><00:00:42.300><c> you</c><00:00:42.450><c> accidentally</c><00:00:43.020><c> spend</c><00:00:43.469><c> 60</c><00:00:43.950><c> your</c>

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but then you accidentally spend 60 your
 

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but then you accidentally spend 60 your
accounts<00:00:45.360><c> balance</c><00:00:45.539><c> is</c><00:00:45.960><c> now</c><00:00:46.260><c> negative</c><00:00:46.590><c> pens</c>

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accounts balance is now negative pens
 

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accounts balance is now negative pens
this<00:00:48.000><c> means</c><00:00:48.329><c> you</c><00:00:48.780><c> owe</c><00:00:48.809><c> the</c><00:00:49.110><c> bank</c><00:00:49.260><c> 10</c><00:00:49.710><c> dollars</c>

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this means you owe the bank 10 dollars
 

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this means you owe the bank 10 dollars
to<00:00:51.690><c> understand</c><00:00:52.230><c> negative</c><00:00:52.649><c> numbers</c><00:00:52.980><c> even</c><00:00:53.250><c> more</c>

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to understand negative numbers even more
 

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to understand negative numbers even more
let's<00:00:54.059><c> look</c><00:00:54.300><c> at</c><00:00:54.420><c> a</c><00:00:54.480><c> number</c><00:00:54.629><c> line</c><00:00:54.960><c> for</c><00:00:55.860><c> every</c>

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let's look at a number line for every
 

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let's look at a number line for every
positive<00:00:56.370><c> number</c><00:00:57.000><c> there</c><00:00:57.420><c> is</c><00:00:57.600><c> a</c><00:00:57.629><c> negative</c>

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positive number there is a negative
 

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positive number there is a negative
number<00:00:58.109><c> negative</c><00:00:59.329><c> numbers</c><00:01:00.329><c> can</c><00:01:00.539><c> also</c><00:01:00.719><c> be</c>

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number negative numbers can also be
 

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number negative numbers can also be
thought<00:01:01.289><c> of</c><00:01:01.320><c> as</c><00:01:01.620><c> the</c><00:01:01.680><c> opposite</c><00:01:02.309><c> of</c><00:01:02.430><c> a</c><00:01:02.550><c> positive</c>

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thought of as the opposite of a positive
 

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thought of as the opposite of a positive
number<00:01:03.149><c> so</c><00:01:03.739><c> the</c><00:01:04.739><c> opposite</c><00:01:05.220><c> of</c><00:01:05.309><c> 5</c><00:01:05.519><c> is</c><00:01:05.850><c> negative</c>

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number so the opposite of 5 is negative
 

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number so the opposite of 5 is negative
5<00:01:06.890><c> you</c><00:01:07.890><c> might</c><00:01:08.100><c> also</c><00:01:08.280><c> notice</c><00:01:08.610><c> that</c><00:01:08.909><c> as</c><00:01:09.150><c> we</c><00:01:09.330><c> go</c>

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5 you might also notice that as we go
 

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5 you might also notice that as we go
further<00:01:09.720><c> down</c><00:01:10.020><c> the</c><00:01:10.170><c> number</c><00:01:10.439><c> line</c><00:01:10.619><c> the</c>

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further down the number line the
 

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further down the number line the
negative<00:01:11.460><c> numbers</c><00:01:11.790><c> appear</c><00:01:12.240><c> to</c><00:01:12.360><c> get</c><00:01:12.479><c> larger</c>

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negative numbers appear to get larger
 

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negative numbers appear to get larger
however<00:01:14.010><c> the</c><00:01:14.400><c> numbers</c><00:01:14.729><c> are</c><00:01:14.909><c> really</c><00:01:15.210><c> getting</c>

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however the numbers are really getting
 

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however the numbers are really getting
smaller<00:01:16.100><c> for</c><00:01:17.100><c> example</c><00:01:17.580><c> negative</c><00:01:17.939><c> 10</c><00:01:18.420><c> is</c>

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smaller for example negative 10 is
 

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smaller for example negative 10 is
smaller<00:01:19.140><c> than</c><00:01:19.350><c> negative</c><00:01:19.530><c> 5</c><00:01:20.090><c> this</c><00:01:21.090><c> can</c><00:01:21.420><c> be</c>

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smaller than negative 5 this can be
 

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smaller than negative 5 this can be
confusing<00:01:21.990><c> but</c><00:01:22.619><c> think</c><00:01:22.860><c> about</c><00:01:22.979><c> it</c><00:01:23.250><c> in</c><00:01:23.400><c> terms</c><00:01:23.580><c> of</c>

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confusing but think about it in terms of
 

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confusing but think about it in terms of
temperature<00:01:24.799><c> suppose</c><00:01:25.799><c> on</c><00:01:26.040><c> a</c><00:01:26.070><c> winter's</c><00:01:26.549><c> day</c>

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temperature suppose on a winter's day
 

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temperature suppose on a winter's day
it's<00:01:27.119><c> negative</c><00:01:27.600><c> 25</c><00:01:28.200><c> degrees</c><00:01:28.229><c> Celsius</c><00:01:29.100><c> in</c>

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it's negative 25 degrees Celsius in
 

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it's negative 25 degrees Celsius in
Barrow<00:01:29.610><c> Alaska</c><00:01:29.850><c> and</c><00:01:30.600><c> negative</c><00:01:31.170><c> 35</c><00:01:31.680><c> degrees</c>

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Barrow Alaska and negative 35 degrees
 

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Barrow Alaska and negative 35 degrees
Celsius<00:01:32.310><c> and</c><00:01:32.880><c> family</c><00:01:33.329><c> idaho</c><00:01:34.070><c> family</c><00:01:35.070><c> would</c><00:01:35.250><c> be</c>

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Celsius and family idaho family would be
 

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Celsius and family idaho family would be
colder<00:01:35.759><c> than</c><00:01:35.909><c> Barrow</c><00:01:36.119><c> because</c><00:01:36.689><c> negative</c><00:01:36.930><c> 35</c>

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colder than Barrow because negative 35
 

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colder than Barrow because negative 35
is<00:01:38.009><c> lower</c><00:01:38.280><c> than</c><00:01:38.549><c> negative</c><00:01:38.909><c> 25</c><00:01:40.189><c> now</c><00:01:41.189><c> you</c><00:01:41.250><c> know</c>

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is lower than negative 25 now you know
 

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is lower than negative 25 now you know
the<00:01:41.670><c> basics</c><00:01:42.060><c> of</c><00:01:42.299><c> negative</c><00:01:42.689><c> numbers</c>

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the basics of negative numbers
 

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the basics of negative numbers
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