[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.00,0:00:00.55,Default,,0000,0000,0000,,
Dialogue: 0,0:00:00.55,0:00:06.87,Default,,0000,0000,0000,,We're asked to write 7/8 as a\Ndecimal and as a percent.
Dialogue: 0,0:00:06.87,0:00:08.62,Default,,0000,0000,0000,,We'll start off with a decimal,\Nand we'll see it's
Dialogue: 0,0:00:08.62,0:00:12.26,Default,,0000,0000,0000,,pretty easy to go from a\Ndecimal to a percent.
Dialogue: 0,0:00:12.26,0:00:14.66,Default,,0000,0000,0000,,Now, whenever you see a problem\Nlike this, it's
Dialogue: 0,0:00:14.66,0:00:15.51,Default,,0000,0000,0000,,sometimes confusing.
Dialogue: 0,0:00:15.51,0:00:18.00,Default,,0000,0000,0000,,It's like, how do I even get\Nit into a decimal, or as a
Dialogue: 0,0:00:18.00,0:00:20.38,Default,,0000,0000,0000,,fraction over 100, or\Nas a percentage?
Dialogue: 0,0:00:20.38,0:00:24.16,Default,,0000,0000,0000,,And you always have to remember\N7 over 8, or 7/8, is
Dialogue: 0,0:00:24.16,0:00:25.49,Default,,0000,0000,0000,,the exact same thing.
Dialogue: 0,0:00:25.49,0:00:28.12,Default,,0000,0000,0000,,
Dialogue: 0,0:00:28.12,0:00:33.09,Default,,0000,0000,0000,,This means literally\N7 divided by 8.
Dialogue: 0,0:00:33.09,0:00:34.83,Default,,0000,0000,0000,,Not 8 divided by 7.
Dialogue: 0,0:00:34.83,0:00:37.18,Default,,0000,0000,0000,,7 divided by 8.
Dialogue: 0,0:00:37.18,0:00:40.58,Default,,0000,0000,0000,,The numerator divided\Nby the denominator.
Dialogue: 0,0:00:40.58,0:00:42.26,Default,,0000,0000,0000,,And you say, well, how do I\Nturn that into a decimal?
Dialogue: 0,0:00:42.26,0:00:45.01,Default,,0000,0000,0000,,Well, we just literally do a\Nlong division problem, but we
Dialogue: 0,0:00:45.01,0:00:48.41,Default,,0000,0000,0000,,keep going behind the decimal\Npoint, so that we don't end up
Dialogue: 0,0:00:48.41,0:00:50.86,Default,,0000,0000,0000,,with a remainder, or until we\Nend up with things repeating.
Dialogue: 0,0:00:50.86,0:00:51.54,Default,,0000,0000,0000,,You'll see what we mean.
Dialogue: 0,0:00:51.54,0:00:54.33,Default,,0000,0000,0000,,In this case, we won't end up\Nwith anything repeating.
Dialogue: 0,0:00:54.33,0:00:55.79,Default,,0000,0000,0000,,So let's try this out.
Dialogue: 0,0:00:55.79,0:00:57.56,Default,,0000,0000,0000,,So it's 7 divided by 8.
Dialogue: 0,0:00:57.56,0:01:03.07,Default,,0000,0000,0000,,
Dialogue: 0,0:01:03.07,0:01:06.91,Default,,0000,0000,0000,,So how many times does\N8 go into 7?
Dialogue: 0,0:01:06.91,0:01:08.53,Default,,0000,0000,0000,,Well, 8 does not go into 7.
Dialogue: 0,0:01:08.53,0:01:10.25,Default,,0000,0000,0000,,It goes zero times.
Dialogue: 0,0:01:10.25,0:01:12.18,Default,,0000,0000,0000,,And actually, just so that we\Nmake sure that everything's
Dialogue: 0,0:01:12.18,0:01:14.28,Default,,0000,0000,0000,,clean, let's put our decimal.
Dialogue: 0,0:01:14.28,0:01:19.02,Default,,0000,0000,0000,,You can view this as\N8 going into 7.000.
Dialogue: 0,0:01:19.02,0:01:21.94,Default,,0000,0000,0000,,You can keep adding as many\Nzeroes as you need until
Dialogue: 0,0:01:21.94,0:01:23.13,Default,,0000,0000,0000,,you're done dividing.
Dialogue: 0,0:01:23.13,0:01:26.97,Default,,0000,0000,0000,,So we have our decimal point\Nright here, right behind the 7
Dialogue: 0,0:01:26.97,0:01:27.64,Default,,0000,0000,0000,,where it was up here.
Dialogue: 0,0:01:27.64,0:01:30.23,Default,,0000,0000,0000,,So we say 8 goes into\N7 zero times.
Dialogue: 0,0:01:30.23,0:01:33.09,Default,,0000,0000,0000,,0 times 8 is 0.
Dialogue: 0,0:01:33.09,0:01:34.41,Default,,0000,0000,0000,,You subtract.
Dialogue: 0,0:01:34.41,0:01:36.52,Default,,0000,0000,0000,,7 minus 0 is 7.
Dialogue: 0,0:01:36.52,0:01:38.98,Default,,0000,0000,0000,,Now we can bring down a 0.
Dialogue: 0,0:01:38.98,0:01:40.23,Default,,0000,0000,0000,,We bring down a 0.
Dialogue: 0,0:01:40.23,0:01:41.57,Default,,0000,0000,0000,,It becomes 70.
Dialogue: 0,0:01:41.57,0:01:45.01,Default,,0000,0000,0000,,And then you say 8 goes into\N70 how many times?
Dialogue: 0,0:01:45.01,0:01:47.37,Default,,0000,0000,0000,,Well, 8 times 8 is 64,\Nso that works.
Dialogue: 0,0:01:47.37,0:01:48.95,Default,,0000,0000,0000,,8 times 9 is 72.
Dialogue: 0,0:01:48.95,0:01:49.98,Default,,0000,0000,0000,,That's too big.
Dialogue: 0,0:01:49.98,0:01:51.23,Default,,0000,0000,0000,,So it goes into it\Neight times.
Dialogue: 0,0:01:51.23,0:01:54.73,Default,,0000,0000,0000,,
Dialogue: 0,0:01:54.73,0:01:57.25,Default,,0000,0000,0000,,8 times 8 is 64.
Dialogue: 0,0:01:57.25,0:02:03.06,Default,,0000,0000,0000,,When you subtract,\N70 minus 64 is 6.
Dialogue: 0,0:02:03.06,0:02:05.08,Default,,0000,0000,0000,,You still have a remainder,\Nso let's keep going.
Dialogue: 0,0:02:05.08,0:02:07.26,Default,,0000,0000,0000,,Let's bring down another 0.
Dialogue: 0,0:02:07.26,0:02:11.58,Default,,0000,0000,0000,,So you bring down another 0\Nright over there, and so you
Dialogue: 0,0:02:11.58,0:02:13.52,Default,,0000,0000,0000,,say, how many times\Ndoes 8 go into 60?
Dialogue: 0,0:02:13.52,0:02:16.48,Default,,0000,0000,0000,,8 times 8 is 64, so\Nthat's too big.
Dialogue: 0,0:02:16.48,0:02:20.67,Default,,0000,0000,0000,,8 times 7 is 56, so\Nthat'll work.
Dialogue: 0,0:02:20.67,0:02:24.68,Default,,0000,0000,0000,,So it goes into 60\Nseven times.
Dialogue: 0,0:02:24.68,0:02:27.80,Default,,0000,0000,0000,,7 times 8 is 56.
Dialogue: 0,0:02:27.80,0:02:29.01,Default,,0000,0000,0000,,You subtract.
Dialogue: 0,0:02:29.01,0:02:32.30,Default,,0000,0000,0000,,60 minus 56 is 4.
Dialogue: 0,0:02:32.30,0:02:34.78,Default,,0000,0000,0000,,So we still have a remainder,\Nso let's keep bringing down
Dialogue: 0,0:02:34.78,0:02:35.97,Default,,0000,0000,0000,,some zeroes.
Dialogue: 0,0:02:35.97,0:02:39.21,Default,,0000,0000,0000,,So let's bring this\N0 down here.
Dialogue: 0,0:02:39.21,0:02:41.71,Default,,0000,0000,0000,,And 8 goes into 40\Nhow many times?
Dialogue: 0,0:02:41.71,0:02:45.69,Default,,0000,0000,0000,,Well, 8 times 5 is 40, so it\Ngoes in nice and evenly.
Dialogue: 0,0:02:45.69,0:02:47.40,Default,,0000,0000,0000,,So it goes into it five times.
Dialogue: 0,0:02:47.40,0:02:50.88,Default,,0000,0000,0000,,5 times 8 is 40.
Dialogue: 0,0:02:50.88,0:02:51.89,Default,,0000,0000,0000,,Subtract.
Dialogue: 0,0:02:51.89,0:02:53.20,Default,,0000,0000,0000,,No remainder.
Dialogue: 0,0:02:53.20,0:02:56.45,Default,,0000,0000,0000,,So as a decimal, we just figured\Nout that 7/8, which is
Dialogue: 0,0:02:56.45,0:03:04.82,Default,,0000,0000,0000,,equal to 7 divided by\N8, is exactly 0.875.
Dialogue: 0,0:03:04.82,0:03:11.39,Default,,0000,0000,0000,,So 7/8 as a decimal\Nis equal to 0.875.
Dialogue: 0,0:03:11.39,0:03:13.49,Default,,0000,0000,0000,,Now we've done the\Ndecimal part.
Dialogue: 0,0:03:13.49,0:03:15.20,Default,,0000,0000,0000,,Now the next thing is\Nto do a percent.
Dialogue: 0,0:03:15.20,0:03:17.52,Default,,0000,0000,0000,,And if you have it as a decimal,\Ndoing it as a percent
Dialogue: 0,0:03:17.52,0:03:19.16,Default,,0000,0000,0000,,is very easy.
Dialogue: 0,0:03:19.16,0:03:22.44,Default,,0000,0000,0000,,You literally shift the decimal\Nplace two to the
Dialogue: 0,0:03:22.44,0:03:24.28,Default,,0000,0000,0000,,right, and you put a\Npercent sign there.
Dialogue: 0,0:03:24.28,0:03:25.93,Default,,0000,0000,0000,,And I think it makes\Nsense why it works.
Dialogue: 0,0:03:25.93,0:03:28.52,Default,,0000,0000,0000,,Now you're going to say,\Nhow many per hundred?
Dialogue: 0,0:03:28.52,0:03:33.60,Default,,0000,0000,0000,,You can view this as\N875 thousandths.
Dialogue: 0,0:03:33.60,0:03:34.43,Default,,0000,0000,0000,,Let me write this down.
Dialogue: 0,0:03:34.43,0:03:35.80,Default,,0000,0000,0000,,You can view this\Nas a fraction.
Dialogue: 0,0:03:35.80,0:03:41.05,Default,,0000,0000,0000,,You could say, well, this is the\Nsame thing as 875/1,000.
Dialogue: 0,0:03:41.05,0:03:42.62,Default,,0000,0000,0000,,That's how we've read it in\Nthe past. This is the
Dialogue: 0,0:03:42.62,0:03:45.95,Default,,0000,0000,0000,,thousandths spot right here.
Dialogue: 0,0:03:45.95,0:03:53.34,Default,,0000,0000,0000,,Or you could read this\Nas 87.5/100.
Dialogue: 0,0:03:53.34,0:03:56.57,Default,,0000,0000,0000,,If you just go two decimal\Nplaces, it's 87.5/100.
Dialogue: 0,0:03:56.57,0:03:59.06,Default,,0000,0000,0000,,Or if you just took this, and\Nyou divide the numerator and
Dialogue: 0,0:03:59.06,0:04:01.17,Default,,0000,0000,0000,,the denominator by 10,\Nyou would get this.
Dialogue: 0,0:04:01.17,0:04:06.70,Default,,0000,0000,0000,,And this is literally saying\N87.5 per 100, So this second
Dialogue: 0,0:04:06.70,0:04:12.20,Default,,0000,0000,0000,,statement right here, this is\Nliterally saying 87.5 per
Dialogue: 0,0:04:12.20,0:04:15.56,Default,,0000,0000,0000,,hundred, or per cent.
Dialogue: 0,0:04:15.56,0:04:21.44,Default,,0000,0000,0000,,So this is equal to 87.5%.
Dialogue: 0,0:04:21.44,0:04:23.56,Default,,0000,0000,0000,,So that gives you the reasoning\Nfor why it works,
Dialogue: 0,0:04:23.56,0:04:26.30,Default,,0000,0000,0000,,but the really easy way, if you\Nhave a decimal, to make it
Dialogue: 0,0:04:26.30,0:04:30.71,Default,,0000,0000,0000,,into a percent, you literally\Nmultiply the number by 100 and
Dialogue: 0,0:04:30.71,0:04:32.82,Default,,0000,0000,0000,,put the percent there, which\Nis essentially telling you
Dialogue: 0,0:04:32.82,0:04:35.09,Default,,0000,0000,0000,,that you're going to divide by\N100, so you're multiplying and
Dialogue: 0,0:04:35.09,0:04:36.04,Default,,0000,0000,0000,,dividing by 100.
Dialogue: 0,0:04:36.04,0:04:39.46,Default,,0000,0000,0000,,So if you multiply this by 100,\Nwhich is equivalent to
Dialogue: 0,0:04:39.46,0:04:42.52,Default,,0000,0000,0000,,shifting the decimal place two\Nplaces to the right, that
Dialogue: 0,0:04:42.52,0:04:47.57,Default,,0000,0000,0000,,literally would become\N87.5, then you
Dialogue: 0,0:04:47.57,0:04:48.63,Default,,0000,0000,0000,,want to put the percent.
Dialogue: 0,0:04:48.63,0:04:51.31,Default,,0000,0000,0000,,This says this is going\Nto be over 100.
Dialogue: 0,0:04:51.31,0:04:53.36,Default,,0000,0000,0000,,So you multiply by 100, and\Nthen divide by 100.
Dialogue: 0,0:04:53.36,0:04:55.51,Default,,0000,0000,0000,,You're not really changing\Nthe number.
Dialogue: 0,0:04:55.51,0:04:57.01,Default,,0000,0000,0000,,Hopefully, that makes sense.
Dialogue: 0,0:04:57.01,0:04:58.82,Default,,0000,0000,0000,,Another way to remember, because\Nsometimes you might
Dialogue: 0,0:04:58.82,0:05:02.28,Default,,0000,0000,0000,,get confused-- Do I put the\Ndecimal to the right?
Dialogue: 0,0:05:02.28,0:05:04.55,Default,,0000,0000,0000,,Do I take it to the left--\Nis that the decimal
Dialogue: 0,0:05:04.55,0:05:07.89,Default,,0000,0000,0000,,representation will always be\Nsmaller than the percent
Dialogue: 0,0:05:07.89,0:05:08.94,Default,,0000,0000,0000,,representation.
Dialogue: 0,0:05:08.94,0:05:10.82,Default,,0000,0000,0000,,And not only will it be smaller,\Nbut it will be
Dialogue: 0,0:05:10.82,0:05:15.06,Default,,0000,0000,0000,,smaller by exactly\Na factor of 100.
Dialogue: 0,0:05:15.06,0:05:17.87,Default,,0000,0000,0000,,This is 100 times smaller\Nof a number right here
Dialogue: 0,0:05:17.87,0:05:19.91,Default,,0000,0000,0000,,than just the 87.5.
Dialogue: 0,0:05:19.91,0:05:21.98,Default,,0000,0000,0000,,Obviously, when you put this\Npercent here, these become the
Dialogue: 0,0:05:21.98,0:05:24.39,Default,,0000,0000,0000,,exact same number.
Dialogue: 0,0:05:24.39,0:05:24.60,Default,,0000,0000,0000,,