1 00:00:00,436 --> 00:00:04,021 Kali is having a picnic for her six friends. 2 00:00:04,021 --> 00:00:06,842 The oldest friend, Vikram, is 10 years old. 3 00:00:06,842 --> 00:00:09,907 The youngest, Diya, is six years old. 4 00:00:09,907 --> 00:00:12,020 She has a total of 48 blueberries 5 00:00:12,020 --> 00:00:13,808 and wants to split them evenly 6 00:00:13,808 --> 00:00:15,480 between her friends. 7 00:00:15,480 --> 00:00:18,928 How many blueberries does each friend get? 8 00:00:18,928 --> 00:00:20,019 And I encourage you to now, 9 00:00:20,019 --> 00:00:21,307 pause this video 10 00:00:21,307 --> 00:00:22,688 and try to figure it out on your own. 11 00:00:22,688 --> 00:00:26,763 How many blueberries does each friend get? 12 00:00:26,763 --> 00:00:28,226 Let's think about this a little bit. 13 00:00:28,226 --> 00:00:30,606 So she has six friends. 14 00:00:30,606 --> 00:00:31,684 She has six friends 15 00:00:31,684 --> 00:00:33,438 and she wants them all 16 00:00:33,438 --> 00:00:35,587 to be able to get the same amount. 17 00:00:35,587 --> 00:00:38,721 So, she wants to split the 48 blueberries evenly 18 00:00:38,721 --> 00:00:39,939 amongst her six friends. 19 00:00:39,939 --> 00:00:42,145 The ages of her friends don't matter. 20 00:00:42,145 --> 00:00:44,689 So, she's going to take the 48 blueberries. 21 00:00:44,689 --> 00:00:46,661 She's going to take the 48 blueberries 22 00:00:46,661 --> 00:00:48,565 and divide it, 23 00:00:48,565 --> 00:00:50,237 and divide it 24 00:00:50,237 --> 00:00:51,305 by six. 25 00:00:51,305 --> 00:00:53,882 She wants to divide it into six groups. 26 00:00:53,882 --> 00:00:57,806 So she wants to divide it into six groups. 27 00:00:57,806 --> 00:01:00,337 48 divided by 6. 28 00:01:00,337 --> 00:01:01,713 And so this, 29 00:01:01,713 --> 00:01:03,065 so question mark, 30 00:01:03,065 --> 00:01:06,060 is going to be equal to the number of blueberries 31 00:01:06,060 --> 00:01:08,834 that each friend gets. 32 00:01:08,834 --> 00:01:11,922 So 48 divided by six is equal to question mark, 33 00:01:11,922 --> 00:01:13,954 is the same thing as saying 34 00:01:13,954 --> 00:01:16,044 that 48, 35 00:01:16,044 --> 00:01:18,621 48 is equal to, 36 00:01:18,621 --> 00:01:23,044 is equal to question mark times six, 37 00:01:23,044 --> 00:01:24,623 times six. 38 00:01:24,623 --> 00:01:25,760 So if we could figure out 39 00:01:25,760 --> 00:01:28,117 what number we can multiply by six 40 00:01:28,117 --> 00:01:29,813 to get 48, 41 00:01:29,813 --> 00:01:32,598 then we know what 48 divided by six 42 00:01:32,598 --> 00:01:33,921 actually is. 43 00:01:33,921 --> 00:01:35,361 For example, this question mark, 44 00:01:35,361 --> 00:01:37,416 this is the number of blueberries per friend. 45 00:01:37,416 --> 00:01:41,653 The number of blueberries per friend times six friends, 46 00:01:41,653 --> 00:01:43,777 well that should tell us the total number of blueberries, 47 00:01:43,777 --> 00:01:45,542 which is 48. 48 00:01:45,542 --> 00:01:47,562 So what is this number? 49 00:01:47,562 --> 00:01:48,560 Well, let's think about, 50 00:01:48,560 --> 00:01:49,512 let's just think about 51 00:01:49,512 --> 00:01:51,857 all of the multiples of six. 52 00:01:51,857 --> 00:01:56,177 So, six times one is equal to six. 53 00:01:56,177 --> 00:01:59,357 Six times two is equal to 12. 54 00:01:59,357 --> 00:02:02,178 And really we're just increasing by six each time. 55 00:02:02,178 --> 00:02:04,534 We're just increasing by six. 56 00:02:04,534 --> 00:02:07,878 Six times three is equal to 18. 57 00:02:07,878 --> 00:02:10,954 Six times four is equal to 24. 58 00:02:10,954 --> 00:02:15,099 Six times five is equal to 30. 59 00:02:15,099 --> 00:02:18,697 Six times six is equal to 36. 60 00:02:18,697 --> 00:02:21,495 Six times seven is equal to 42. 61 00:02:21,495 --> 00:02:23,573 Notice we're just adding six every time. 62 00:02:23,573 --> 00:02:27,834 Six times eight is equal to 48. 63 00:02:27,834 --> 00:02:29,993 Is equal to 48. 64 00:02:29,993 --> 00:02:32,350 So we now know that question mark, 65 00:02:32,350 --> 00:02:35,948 we now know that the question mark must be eight. 66 00:02:35,948 --> 00:02:36,889 Six times eight 67 00:02:36,889 --> 00:02:38,793 and eight times six is the same thing. 68 00:02:38,793 --> 00:02:40,155 So this is going to be equal 69 00:02:40,155 --> 00:02:42,716 to six times question mark. 70 00:02:42,716 --> 00:02:46,408 Six times question mark 71 00:02:46,408 --> 00:02:47,569 and now we learned 72 00:02:47,569 --> 00:02:50,332 that question mark is equal to 48. 73 00:02:50,332 --> 00:02:53,246 Sorry, question mark is equal to eight. 74 00:02:53,246 --> 00:02:54,407 So, each of her friends 75 00:02:54,407 --> 00:02:56,473 are going to get eight blueberries. 76 00:02:56,473 --> 00:02:57,588 So this is, right over here, 77 00:02:57,588 --> 00:03:02,588 48 divided by six is equal to eight blueberries. 78 00:03:03,973 --> 00:03:05,807 Now, let's verify that. 79 00:03:05,807 --> 00:03:08,233 We have 48 blueberries right over here. 80 00:03:08,233 --> 00:03:10,474 Lets divide them into six groups 81 00:03:10,474 --> 00:03:13,852 where each group is going to have eight blueberries. 82 00:03:13,852 --> 00:03:15,024 So let me do my best. 83 00:03:15,024 --> 00:03:17,385 So let's see, this is one, two, 84 00:03:17,385 --> 00:03:22,385 three, four, five, six, seven, eight. 85 00:03:22,930 --> 00:03:25,426 So, that's a group of eight blueberries. 86 00:03:25,426 --> 00:03:28,630 See, here's another group of eight blueberries, 87 00:03:28,630 --> 00:03:30,627 right over here. 88 00:03:30,627 --> 00:03:33,610 And there's another group, right over here, 89 00:03:33,610 --> 00:03:35,944 of eight blueberries. 90 00:03:35,944 --> 00:03:37,929 And then, here's our fourth group 91 00:03:37,929 --> 00:03:40,193 of eight blueberries. 92 00:03:40,193 --> 00:03:40,912 And now, let's see, 93 00:03:40,912 --> 00:03:43,052 we can make a fifth group 94 00:03:43,052 --> 00:03:45,544 of eight blueberries. 95 00:03:45,544 --> 00:03:47,425 Fifth group of eight blueberries. 96 00:03:47,425 --> 00:03:48,390 And then, finally, 97 00:03:48,390 --> 00:03:50,722 here is our sixth group. 98 00:03:50,722 --> 00:03:51,987 Here is our sixth group 99 00:03:51,987 --> 00:03:54,031 of eight blueberries. 100 00:03:54,031 --> 00:03:54,729 So notice, 101 00:03:54,729 --> 00:03:56,921 we have six groups of eight blueberries. 102 00:03:56,921 --> 00:03:58,349 Each of her six friends 103 00:03:58,349 --> 00:04:00,160 could take one of these groups 104 00:04:00,160 --> 00:04:01,873 of eight blueberries.