1 00:00:00,000 --> 00:00:00,480 2 00:00:00,480 --> 00:00:04,529 We're asked to shade 20% of the square below. 3 00:00:04,530 --> 00:00:06,700 Before doing that, let's just even think about 4 00:00:06,700 --> 00:00:08,380 what percent means. 5 00:00:08,380 --> 00:00:09,440 Let me just rewrite it. 6 00:00:09,439 --> 00:00:15,890 20% is equal to-- I'm just writing it out as a word-- 20 7 00:00:15,890 --> 00:00:26,259 percent, which literally means 20 per cent. 8 00:00:26,260 --> 00:00:30,380 And if you're familiar with the word century, you might 9 00:00:30,379 --> 00:00:33,939 already know that cent comes from the Latin 10 00:00:33,939 --> 00:00:36,820 for the word hundred. 11 00:00:36,820 --> 00:00:39,230 This literally means you can take cent, and that 12 00:00:39,229 --> 00:00:40,699 literally means 100. 13 00:00:40,700 --> 00:00:49,609 So this is the same thing as 20 per 100. 14 00:00:49,609 --> 00:00:53,969 If you want to shade 20%, that means, if you break up the 15 00:00:53,969 --> 00:00:57,879 square into 100 pieces, we want to shade 20 of them. 16 00:00:57,880 --> 00:00:59,130 20 per 100. 17 00:00:59,130 --> 00:01:01,240 So how many squares have they drawn here? 18 00:01:01,240 --> 00:01:05,969 So if we go horizontally right here, we have one, two, three, 19 00:01:05,969 --> 00:01:09,400 four, five, six, seven, eight, nine, ten squares. 20 00:01:09,400 --> 00:01:13,450 If we go vertically, we have one, two, three, four, five, 21 00:01:13,450 --> 00:01:15,630 six, seven, eight, nine, ten. 22 00:01:15,629 --> 00:01:17,619 So this is a 10 by 10 square. 23 00:01:17,620 --> 00:01:21,680 So it has 100 squares here. 24 00:01:21,680 --> 00:01:24,580 Another way to say it is that this larger square-- I guess 25 00:01:24,579 --> 00:01:26,269 that's the square that they're talking about. 26 00:01:26,269 --> 00:01:31,969 This larger square is a broken up into 100 smaller squares, 27 00:01:31,969 --> 00:01:34,219 so it's already broken up into the 100. 28 00:01:34,219 --> 00:01:38,989 So if we want to shade 20% of that, we need to shade 20 of 29 00:01:38,989 --> 00:01:42,420 every 100 squares that it is broken into. 30 00:01:42,420 --> 00:01:45,469 So with this, we'll just literally shade in 20 squares. 31 00:01:45,469 --> 00:01:47,329 So let me just do one. 32 00:01:47,329 --> 00:01:51,209 So if I just do one square, just like that, I have just 33 00:01:51,209 --> 00:01:54,049 shaded 1 per 100 of the squares. 34 00:01:54,049 --> 00:01:56,079 100 out of 100 would be the whole. 35 00:01:56,079 --> 00:01:58,640 I've shaded one of them. 36 00:01:58,640 --> 00:02:02,170 That one square by itself would be 1% 37 00:02:02,170 --> 00:02:04,299 of the entire square. 38 00:02:04,299 --> 00:02:08,008 If I were to shade another one, if I were to shade that 39 00:02:08,008 --> 00:02:12,189 and that, then those two combined, that's 2% of the 40 00:02:12,189 --> 00:02:12,949 entire square. 41 00:02:12,949 --> 00:02:15,679 It's literally 2 per 100, where 100 would 42 00:02:15,680 --> 00:02:16,640 be the entire square. 43 00:02:16,639 --> 00:02:23,489 If we wanted to do 20, we do one, two, three, four-- if we 44 00:02:23,490 --> 00:02:26,860 shade this entire row, that will be 10%, right? 45 00:02:26,860 --> 00:02:34,160 One, two, three, four, five, six, seven, eight, nine, ten. 46 00:02:34,159 --> 00:02:36,430 And we want to do 20, so that'll be one more row. 47 00:02:36,430 --> 00:02:39,050 So I can shade in this whole other row right here. 48 00:02:39,050 --> 00:02:43,460 And then I would have shaded in 20 of the 100 squares. 49 00:02:43,460 --> 00:02:45,010 Or another way of thinking about it, if you take this 50 00:02:45,009 --> 00:02:48,750 larger square, divide it into 100 equal pieces, I've shaded 51 00:02:48,750 --> 00:02:57,590 in 20 per 100, or 20%, of the entire larger square. 52 00:02:57,590 --> 00:02:59,719 Hopefully, that makes sense. 53 00:02:59,719 --> 00:03:00,467