[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:06.76,0:00:08.58,Default,,0000,0000,0000,,Hi, welcome to Math Antics. Dialogue: 0,0:00:08.98,0:00:10.42,Default,,0000,0000,0000,,Now that you know all about fractions, Dialogue: 0,0:00:10.60,0:00:12.42,Default,,0000,0000,0000,,from watching all of our fractions videos, Dialogue: 0,0:00:12.66,0:00:14.72,Default,,0000,0000,0000,,it's time to learn about something called percentages. Dialogue: 0,0:00:16.22,0:00:17.66,Default,,0000,0000,0000,,Percentages are super important. Dialogue: 0,0:00:18.18,0:00:20.04,Default,,0000,0000,0000,,Have you ever been in a math class and heard another Dialogue: 0,0:00:20.04,0:00:20.98,Default,,0000,0000,0000,,student as a teacher? Dialogue: 0,0:00:21.68,0:00:23.28,Default,,0000,0000,0000,,Um, excuse me, a teacher? Dialogue: 0,0:00:24.28,0:00:26.26,Default,,0000,0000,0000,,When are we ever going to use this stuff? Dialogue: 0,0:00:26.72,0:00:28.50,Default,,0000,0000,0000,,You know, like, in real life? Dialogue: 0,0:00:31.60,0:00:33.08,Default,,0000,0000,0000,,Well, when it comes to percentages, Dialogue: 0,0:00:33.62,0:00:35.72,Default,,0000,0000,0000,,the answer is 100% of the time. Dialogue: 0,0:00:36.42,0:00:39.74,Default,,0000,0000,0000,,Alright, maybe not 100% of the time, but a lot. Dialogue: 0,0:00:40.80,0:00:43.96,Default,,0000,0000,0000,,Percentages are used every day to calculate things like how Dialogue: 0,0:00:43.96,0:00:45.86,Default,,0000,0000,0000,,much sales tax you pay when you buy something, Dialogue: 0,0:00:46.24,0:00:48.00,Default,,0000,0000,0000,,how much something costs when it's on sale, Dialogue: 0,0:00:48.58,0:00:50.38,Default,,0000,0000,0000,,how much fiber is in your granola bar, Dialogue: 0,0:00:50.74,0:00:53.04,Default,,0000,0000,0000,,or how much money you can make if you invest it in the Dialogue: 0,0:00:53.04,0:00:53.66,Default,,0000,0000,0000,,stock market. Dialogue: 0,0:00:54.20,0:00:55.94,Default,,0000,0000,0000,,That's all real life stuff for sure, Dialogue: 0,0:00:56.26,0:00:58.46,Default,,0000,0000,0000,,so you can see that it's really important to understand Dialogue: 0,0:00:58.46,0:01:00.28,Default,,0000,0000,0000,,percentages and how we use them in math. Dialogue: 0,0:01:01.12,0:01:01.84,Default,,0000,0000,0000,,Alright then, Dialogue: 0,0:01:02.14,0:01:03.80,Default,,0000,0000,0000,,are you ready to learn the key to understanding Dialogue: 0,0:01:03.80,0:01:06.04,Default,,0000,0000,0000,,percentages, or percents as they're called for short? Dialogue: 0,0:01:06.52,0:01:07.14,Default,,0000,0000,0000,,Drumroll please. Dialogue: 0,0:01:08.24,0:01:09.78,Default,,0000,0000,0000,,A percent is a fraction. Dialogue: 0,0:01:10.36,0:01:10.84,Default,,0000,0000,0000,,What? Dialogue: 0,0:01:11.68,0:01:14.06,Default,,0000,0000,0000,,That's right, a percent is a fraction. Dialogue: 0,0:01:14.44,0:01:16.14,Default,,0000,0000,0000,,And since you already know all about fractions, Dialogue: 0,0:01:16.54,0:01:18.46,Default,,0000,0000,0000,,learning about percents is going to be easy. Dialogue: 0,0:01:18.98,0:01:21.30,Default,,0000,0000,0000,,But a percent isn't just any old fraction. Dialogue: 0,0:01:21.30,0:01:25.44,Default,,0000,0000,0000,,A percent is a special fraction that always has 100 as the Dialogue: 0,0:01:25.44,0:01:25.92,Default,,0000,0000,0000,,bottom number. Dialogue: 0,0:01:26.34,0:01:29.28,Default,,0000,0000,0000,,If it's a percent, then no matter what the top number is, Dialogue: 0,0:01:29.62,0:01:31.48,Default,,0000,0000,0000,,the bottom number will be 100. Dialogue: 0,0:01:31.98,0:01:32.54,Default,,0000,0000,0000,,In fact, Dialogue: 0,0:01:32.94,0:01:35.48,Default,,0000,0000,0000,,because the bottom number of a percent is always 100, Dialogue: 0,0:01:35.82,0:01:36.78,Default,,0000,0000,0000,,we don't even write it. Dialogue: 0,0:01:37.14,0:01:37.46,Default,,0000,0000,0000,,Instead, Dialogue: 0,0:01:37.50,0:01:40.00,Default,,0000,0000,0000,,we use this handy little symbol called a percent sign. Dialogue: 0,0:01:40.58,0:01:42.44,Default,,0000,0000,0000,,Whenever you see this symbol after a number, Dialogue: 0,0:01:42.64,0:01:44.36,Default,,0000,0000,0000,,it means the number is a percent. Dialogue: 0,0:01:44.92,0:01:47.34,Default,,0000,0000,0000,,It's really a fraction with 100 on the bottom, Dialogue: 0,0:01:47.64,0:01:50.06,Default,,0000,0000,0000,,but it's just being written in this more compact form. Dialogue: 0,0:01:50.06,0:01:52.10,Default,,0000,0000,0000,,Like this number 15 here. Dialogue: 0,0:01:52.40,0:01:54.00,Default,,0000,0000,0000,,It's got the percent sign after it, Dialogue: 0,0:01:54.12,0:01:55.82,Default,,0000,0000,0000,,so we read it as 15 percent. Dialogue: 0,0:01:56.40,0:01:59.14,Default,,0000,0000,0000,,And because a percent is really a fraction that always has Dialogue: 0,0:01:59.14,0:02:00.04,Default,,0000,0000,0000,,100 as the bottom number, Dialogue: 0,0:02:00.22,0:02:04.12,Default,,0000,0000,0000,,we know that it means the same thing as 15 over 100. Dialogue: 0,0:02:05.04,0:02:07.32,Default,,0000,0000,0000,,Percents make even more sense if you know what the word Dialogue: 0,0:02:07.32,0:02:07.98,Default,,0000,0000,0000,,percent means. Dialogue: 0,0:02:08.54,0:02:12.80,Default,,0000,0000,0000,,The prefix of the word, per, means for each, or for every. Dialogue: 0,0:02:13.22,0:02:15.92,Default,,0000,0000,0000,,You know, like if someone said, only one cookie per person, Dialogue: 0,0:02:16.54,0:02:19.52,Default,,0000,0000,0000,,and the root word, cent, is Latin for 100. Dialogue: 0,0:02:19.98,0:02:21.96,Default,,0000,0000,0000,,That's why there's 100 cents in a dollar. Dialogue: 0,0:02:22.62,0:02:25.32,Default,,0000,0000,0000,,So percent literally means per 100, Dialogue: 0,0:02:25.74,0:02:28.50,Default,,0000,0000,0000,,and that's why there are shortcuts for writing fractions Dialogue: 0,0:02:28.50,0:02:30.46,Default,,0000,0000,0000,,that have 100 as the bottom number. Dialogue: 0,0:02:31.34,0:02:34.28,Default,,0000,0000,0000,,Alright then, so whenever you see a percent like this, Dialogue: 0,0:02:34.62,0:02:36.08,Default,,0000,0000,0000,,you know it can be replaced with, Dialogue: 0,0:02:36.24,0:02:37.48,Default,,0000,0000,0000,,or converted to a fraction. Dialogue: 0,0:02:38.38,0:02:40.40,Default,,0000,0000,0000,,Let's look at a few examples so you see the pattern. Dialogue: 0,0:02:41.42,0:02:43.78,Default,,0000,0000,0000,,3% means 3 over 100. Dialogue: 0,0:02:44.32,0:02:46.42,Default,,0000,0000,0000,,10% means 10 over 100. Dialogue: 0,0:02:46.90,0:02:52.88,Default,,0000,0000,0000,,25% means 25 over 100. And 75% means 75 over 100. Dialogue: 0,0:02:53.66,0:02:54.48,Default,,0000,0000,0000,,These are percents, Dialogue: 0,0:02:54.96,0:02:56.88,Default,,0000,0000,0000,,and these are the fractions that they stand for. Dialogue: 0,0:02:57.00,0:02:59.56,Default,,0000,0000,0000,,There's a few other interesting percents that we should Dialogue: 0,0:02:59.56,0:03:01.02,Default,,0000,0000,0000,,take a look at, like this one. Dialogue: 0,0:03:01.96,0:03:02.44,Default,,0000,0000,0000,,0%. Dialogue: 0,0:03:02.44,0:03:03.98,Default,,0000,0000,0000,,Can you have 0 %? Dialogue: 0,0:03:04.86,0:03:08.26,Default,,0000,0000,0000,,Yes, 0% would just mean 0 over 100. Dialogue: 0,0:03:08.68,0:03:10.82,Default,,0000,0000,0000,,It's what we like to call a zero fraction, Dialogue: 0,0:03:11.22,0:03:12.46,Default,,0000,0000,0000,,because its value is just zero. Dialogue: 0,0:03:13.02,0:03:15.92,Default,,0000,0000,0000,,Remember, it's okay to have zero on the top of a fraction, Dialogue: 0,0:03:16.22,0:03:17.06,Default,,0000,0000,0000,,but not the bottom. Dialogue: 0,0:03:17.76,0:03:19.86,Default,,0000,0000,0000,,Alright then, what about 100%? Dialogue: 0,0:03:20.48,0:03:23.02,Default,,0000,0000,0000,,Well, 100% just means 100 over 100. Dialogue: 0,0:03:23.42,0:03:25.46,Default,,0000,0000,0000,,That's what we like to call a whole fraction. Dialogue: 0,0:03:25.94,0:03:27.94,Default,,0000,0000,0000,,The top number is the same as the bottom, Dialogue: 0,0:03:28.14,0:03:30.78,Default,,0000,0000,0000,,so its value is just one whole, or one. Dialogue: 0,0:03:31.34,0:03:35.52,Default,,0000,0000,0000,,Okay then, 0% is just zero and 100% is just one, Dialogue: 0,0:03:35.78,0:03:37.58,Default,,0000,0000,0000,,but what about numbers bigger than 100? Dialogue: 0,0:03:37.98,0:03:39.74,Default,,0000,0000,0000,,Can you have 126%? Dialogue: 0,0:03:40.52,0:03:42.70,Default,,0000,0000,0000,,Yup, it works exactly the same way. Dialogue: 0,0:03:43.38,0:03:47.04,Default,,0000,0000,0000,,126% just means 126 over 100. Dialogue: 0,0:03:47.60,0:03:49.08,Default,,0000,0000,0000,,And you know from the fractions videos, Dialogue: 0,0:03:49.30,0:03:51.06,Default,,0000,0000,0000,,that's what we call an improper fraction. Dialogue: 0,0:03:51.60,0:03:53.96,Default,,0000,0000,0000,,The top number is bigger than the bottom number, Dialogue: 0,0:03:54.18,0:03:56.50,Default,,0000,0000,0000,,so the fractions value will be greater than 1. Dialogue: 0,0:03:57.28,0:03:58.00,Default,,0000,0000,0000,,Alright team, Dialogue: 0,0:03:58.32,0:04:01.92,Default,,0000,0000,0000,,I want you to go out there and give me 110% effort in Dialogue: 0,0:04:01.92,0:04:02.48,Default,,0000,0000,0000,,today's game. Dialogue: 0,0:04:02.86,0:04:03.46,Default,,0000,0000,0000,,But coach, Dialogue: 0,0:04:03.94,0:04:07.64,Default,,0000,0000,0000,,it would be improper for us to give 110% effort in today's Dialogue: 0,0:04:07.64,0:04:07.92,Default,,0000,0000,0000,,game! Dialogue: 0,0:04:08.70,0:04:11.06,Default,,0000,0000,0000,,Okay, so now you know the key to percentages, Dialogue: 0,0:04:11.30,0:04:14.58,Default,,0000,0000,0000,,that they're just special fractions that always have 100 as Dialogue: 0,0:04:14.58,0:04:15.24,Default,,0000,0000,0000,,the bottom number. Dialogue: 0,0:04:15.62,0:04:18.04,Default,,0000,0000,0000,,But there's one more thing that I need to tell you about in Dialogue: 0,0:04:18.04,0:04:19.70,Default,,0000,0000,0000,,this video, and that's decimals. Dialogue: 0,0:04:20.30,0:04:23.28,Default,,0000,0000,0000,,Do you remember in the video about fractions and decimals Dialogue: 0,0:04:23.28,0:04:26.16,Default,,0000,0000,0000,,that you can convert any fraction into its decimal value? Dialogue: 0,0:04:27.00,0:04:29.80,Default,,0000,0000,0000,,Sometimes it was kind of tricky converting to a decimal if Dialogue: 0,0:04:29.80,0:04:32.00,Default,,0000,0000,0000,,we had to divide the top number by the bottom number. Dialogue: 0,0:04:32.46,0:04:34.98,Default,,0000,0000,0000,,But other times, like when we had base 10 fractions, Dialogue: 0,0:04:35.34,0:04:35.82,Default,,0000,0000,0000,,it was easy, Dialogue: 0,0:04:36.26,0:04:39.34,Default,,0000,0000,0000,,because decimal number places are made for counting base 10 Dialogue: 0,0:04:39.34,0:04:42.28,Default,,0000,0000,0000,,fractions, like tenths, hundredths, and thousandths. Dialogue: 0,0:04:42.90,0:04:43.64,Default,,0000,0000,0000,,Well guess what? Dialogue: 0,0:04:43.64,0:04:45.66,Default,,0000,0000,0000,,Percents are base 10 fractions. Dialogue: 0,0:04:46.14,0:04:48.64,Default,,0000,0000,0000,,They're hundredths because their bottom number is always Dialogue: 0,0:04:48.64,0:04:49.00,Default,,0000,0000,0000,,100. Dialogue: 0,0:04:49.50,0:04:52.44,Default,,0000,0000,0000,,That means it's really easy to rewrite a percentage as a Dialogue: 0,0:04:52.44,0:04:53.02,Default,,0000,0000,0000,,decimal number. Dialogue: 0,0:04:53.46,0:04:55.68,Default,,0000,0000,0000,,You can do it the same way as we did in the base 10 Dialogue: 0,0:04:55.68,0:04:56.44,Default,,0000,0000,0000,,fractions video. Dialogue: 0,0:04:57.00,0:05:00.96,Default,,0000,0000,0000,,For example, we know that 15% is just 15 over 100, right? Dialogue: 0,0:05:01.44,0:05:02.80,Default,,0000,0000,0000,,That's its fraction form. Dialogue: 0,0:05:03.36,0:05:07.98,Default,,0000,0000,0000,,But it also has the decimal form 0.15 because this is the Dialogue: 0,0:05:07.98,0:05:12.52,Default,,0000,0000,0000,,hundredths place and 0.15 means 15 hundredths. Dialogue: 0,0:05:13.16,0:05:17.84,Default,,0000,0000,0000,,So, we can rewrite 15% as a fraction, 15 over 100, Dialogue: 0,0:05:18.12,0:05:20.62,Default,,0000,0000,0000,,or as a decimal, 0.15. Dialogue: 0,0:05:21.32,0:05:23.82,Default,,0000,0000,0000,,And now that you know why we can easily convert a Dialogue: 0,0:05:23.82,0:05:24.84,Default,,0000,0000,0000,,percentage to a decimal, Dialogue: 0,0:05:24.84,0:05:27.46,Default,,0000,0000,0000,,let me show you a really simple trick for doing it. Dialogue: 0,0:05:28.22,0:05:30.56,Default,,0000,0000,0000,,First, you start with the number in percent form, Dialogue: 0,0:05:30.78,0:05:32.70,Default,,0000,0000,0000,,like this, 35%. Dialogue: 0,0:05:33.28,0:05:33.62,Default,,0000,0000,0000,,Next, Dialogue: 0,0:05:33.92,0:05:36.42,Default,,0000,0000,0000,,you imagine where the decimal point should be in the number Dialogue: 0,0:05:36.42,0:05:36.96,Default,,0000,0000,0000,,35. Dialogue: 0,0:05:37.48,0:05:39.60,Default,,0000,0000,0000,,It's not shown, but if it was, Dialogue: 0,0:05:39.74,0:05:41.80,Default,,0000,0000,0000,,it would be right here next to the ones place. Dialogue: 0,0:05:42.42,0:05:46.38,Default,,0000,0000,0000,,Now remember, 35 and 35.0 are the same value. Dialogue: 0,0:05:47.16,0:05:49.04,Default,,0000,0000,0000,,Now that you know where the decimal point is, Dialogue: 0,0:05:49.20,0:05:51.30,Default,,0000,0000,0000,,just move it two number places to the left, Dialogue: 0,0:05:51.30,0:05:54.36,Default,,0000,0000,0000,,away from the percent symbol, and draw it in right there. Dialogue: 0,0:05:55.38,0:05:57.70,Default,,0000,0000,0000,,Last of all, once you've moved the decimal point, Dialogue: 0,0:05:58.02,0:06:00.82,Default,,0000,0000,0000,,you erase the percent sign because you don't have a percent Dialogue: 0,0:06:00.82,0:06:01.20,Default,,0000,0000,0000,,anymore. Dialogue: 0,0:06:01.86,0:06:04.68,Default,,0000,0000,0000,,Moving the decimal point two places to the left converted Dialogue: 0,0:06:04.68,0:06:07.18,Default,,0000,0000,0000,,it into the decimal value of that percent. Dialogue: 0,0:06:08.20,0:06:10.96,Default,,0000,0000,0000,,Let's try converting a few more percents into their decimal Dialogue: 0,0:06:10.96,0:06:12.58,Default,,0000,0000,0000,,values so you can get the hang of it. Dialogue: 0,0:06:13.62,0:06:14.66,Default,,0000,0000,0000,,For 62%, Dialogue: 0,0:06:14.66,0:06:18.06,Default,,0000,0000,0000,,we move the decimal point two places to the left and get 0 Dialogue: 0,0:06:18.06,0:06:18.78,Default,,0000,0000,0000,,.62. Dialogue: 0,0:06:19.54,0:06:19.80,Default,,0000,0000,0000,,Remember, Dialogue: 0,0:06:20.04,0:06:22.92,Default,,0000,0000,0000,,we can put an extra zero in front of the decimal point to Dialogue: 0,0:06:22.92,0:06:25.42,Default,,0000,0000,0000,,be a placeholder and to make the decimal point easier to Dialogue: 0,0:06:25.42,0:06:25.70,Default,,0000,0000,0000,,notice. Dialogue: 0,0:06:26.80,0:06:30.62,Default,,0000,0000,0000,,For 75%, we move the decimal point and get 0.75. Dialogue: 0,0:06:31.06,0:06:34.92,Default,,0000,0000,0000,,For 99%, we move the decimal point to get 0.99. Dialogue: 0,0:06:35.50,0:06:36.42,Default,,0000,0000,0000,,Pretty cool, huh? Dialogue: 0,0:06:37.30,0:06:39.24,Default,,0000,0000,0000,,Okay, but what about 4%? Dialogue: 0,0:06:39.82,0:06:42.20,Default,,0000,0000,0000,,You might wonder how we can move the decimal point two Dialogue: 0,0:06:42.20,0:06:44.82,Default,,0000,0000,0000,,places over when our number only has one digit. Dialogue: 0,0:06:45.36,0:06:48.60,Default,,0000,0000,0000,,But all we need to do is use a zero as a placeholder in the Dialogue: 0,0:06:48.60,0:06:49.56,Default,,0000,0000,0000,,number place that's missing. Dialogue: 0,0:06:50.22,0:06:53.42,Default,,0000,0000,0000,,Then, when we move the decimal point two places over, Dialogue: 0,0:06:53.76,0:06:56.84,Default,,0000,0000,0000,,we end up with a decimal value of 0.04. Dialogue: 0,0:06:57.46,0:07:00.30,Default,,0000,0000,0000,,Now that makes sense because 4 is in the hundredths place Dialogue: 0,0:07:00.30,0:07:02.62,Default,,0000,0000,0000,,and 4% is 4 over 100. Dialogue: 0,0:07:03.26,0:07:07.44,Default,,0000,0000,0000,,And in the same way, 1% would just be 0.01. Dialogue: 0,0:07:08.02,0:07:10.30,Default,,0000,0000,0000,,Again, we need that extra zero placeholder. Dialogue: 0,0:07:11.12,0:07:12.84,Default,,0000,0000,0000,,Here's a few more interesting examples. Dialogue: 0,0:07:13.48,0:07:16.40,Default,,0000,0000,0000,,0% would just be 0.00. Dialogue: 0,0:07:16.40,0:07:20.50,Default,,0000,0000,0000,,And if we have 100% and we move the decimal point two Dialogue: 0,0:07:20.50,0:07:23.78,Default,,0000,0000,0000,,places to the left, we end up with 1.00. Dialogue: 0,0:07:24.60,0:07:27.32,Default,,0000,0000,0000,,But 1.00 is the same value as 1. Dialogue: 0,0:07:27.76,0:07:30.58,Default,,0000,0000,0000,,And that's why 100% represents one whole. Dialogue: 0,0:07:31.32,0:07:33.34,Default,,0000,0000,0000,,And if we have 142%, Dialogue: 0,0:07:33.34,0:07:36.16,Default,,0000,0000,0000,,we move the decimal point to get 1 .42. Dialogue: 0,0:07:36.82,0:07:38.44,Default,,0000,0000,0000,,That's a value greater than 1, Dialogue: 0,0:07:38.62,0:07:42.68,Default,,0000,0000,0000,,which is what we would expect because 142% is really an Dialogue: 0,0:07:42.68,0:07:43.48,Default,,0000,0000,0000,,improper fraction. Dialogue: 0,0:07:43.98,0:07:45.50,Default,,0000,0000,0000,,142 over 100. Dialogue: 0,0:07:45.50,0:07:47.64,Default,,0000,0000,0000,,Its value should be greater than 1. Dialogue: 0,0:07:48.38,0:07:48.68,Default,,0000,0000,0000,,Alright, Dialogue: 0,0:07:49.10,0:07:52.08,Default,,0000,0000,0000,,so now you know that a percent is a special fraction that Dialogue: 0,0:07:52.08,0:07:53.86,Default,,0000,0000,0000,,always has 100 as the bottom number. Dialogue: 0,0:07:54.54,0:07:56.70,Default,,0000,0000,0000,,And you know that you can rewrite percents in either their Dialogue: 0,0:07:56.70,0:07:58.68,Default,,0000,0000,0000,,fraction form or their decimal form. Dialogue: 0,0:07:59.24,0:08:03.56,Default,,0000,0000,0000,,25% is 25 over 100 or 0.25. Dialogue: 0,0:08:04.44,0:08:06.88,Default,,0000,0000,0000,,But keep in mind that you could go the other way too. Dialogue: 0,0:08:07.30,0:08:09.90,Default,,0000,0000,0000,,If someone gives you a fraction with 100 as the bottom Dialogue: 0,0:08:09.90,0:08:12.10,Default,,0000,0000,0000,,number, you can rewrite it in percent form. Dialogue: 0,0:08:12.74,0:08:14.38,Default,,0000,0000,0000,,If you get 12 over 100, Dialogue: 0,0:08:14.64,0:08:17.94,Default,,0000,0000,0000,,you can say that's 12% and if you get 80 over 100, Dialogue: 0,0:08:18.20,0:08:19.72,Default,,0000,0000,0000,,you can say that's 80%. Dialogue: 0,0:08:20.24,0:08:24.76,Default,,0000,0000,0000,,Or, if you get the decimal, 0.10, you can say that's 10%. Dialogue: 0,0:08:24.76,0:08:29.32,Default,,0000,0000,0000,,And if you get the decimal, 0.38, you can say that's 38%. Dialogue: 0,0:08:30.06,0:08:31.58,Default,,0000,0000,0000,,So, that's the key to percentages. Dialogue: 0,0:08:32.16,0:08:34.10,Default,,0000,0000,0000,,They're another way to write fractions in decimals, Dialogue: 0,0:08:34.44,0:08:36.50,Default,,0000,0000,0000,,but there's a lot more to learn about how they're used in Dialogue: 0,0:08:36.50,0:08:36.70,Default,,0000,0000,0000,,math, Dialogue: 0,0:08:37.08,0:08:39.38,Default,,0000,0000,0000,,and we'll learn more about that in the next few videos. Dialogue: 0,0:08:40.08,0:08:40.66,Default,,0000,0000,0000,,But for now, Dialogue: 0,0:08:41.00,0:08:43.32,Default,,0000,0000,0000,,you should be sure that you really understand the basics of Dialogue: 0,0:08:43.32,0:08:45.84,Default,,0000,0000,0000,,percentages by doing the exercises for this section. Dialogue: 0,0:08:46.38,0:08:47.88,Default,,0000,0000,0000,,Thanks for watching Math Antics, Dialogue: 0,0:08:48.12,0:08:49.18,Default,,0000,0000,0000,,and I'll see you next time. Dialogue: 0,0:08:50.52,0:08:52.54,Default,,0000,0000,0000,,Learn more at www.mathantics .com