0:00:00.436,0:00:04.021 Kali is having a picnic for her six friends. 0:00:04.021,0:00:06.842 The oldest friend, Vikram, is 10 years old. 0:00:06.842,0:00:09.907 The youngest, Diya, is six years old. 0:00:09.907,0:00:12.020 She has a total of 48 blueberries 0:00:12.020,0:00:13.808 and wants to split them evenly 0:00:13.808,0:00:15.480 between her friends. 0:00:15.480,0:00:18.928 How many blueberries does each friend get? 0:00:18.928,0:00:20.019 And I encourage you to now, 0:00:20.019,0:00:21.307 pause this video 0:00:21.307,0:00:22.688 and try to figure it out on your own. 0:00:22.688,0:00:26.763 How many blueberries does each friend get? 0:00:26.763,0:00:28.226 Let's think about this a little bit. 0:00:28.226,0:00:30.606 So she has six friends. 0:00:30.606,0:00:31.684 She has six friends 0:00:31.684,0:00:33.438 and she wants them all 0:00:33.438,0:00:35.587 to be able to get the same amount. 0:00:35.587,0:00:38.721 So, she wants to split the 48 blueberries evenly 0:00:38.721,0:00:39.939 amongst her six friends. 0:00:39.939,0:00:42.145 The ages of her friends don't matter. 0:00:42.145,0:00:44.689 So, she's going to take the 48 blueberries. 0:00:44.689,0:00:46.661 She's going to take the 48 blueberries 0:00:46.661,0:00:48.565 and divide it, 0:00:48.565,0:00:50.237 and divide it 0:00:50.237,0:00:51.305 by six. 0:00:51.305,0:00:53.882 She wants to divide it into six groups. 0:00:53.882,0:00:57.806 So she wants to divide it into six groups. 0:00:57.806,0:01:00.337 48 divided by 6. 0:01:00.337,0:01:01.713 And so this, 0:01:01.713,0:01:03.065 so question mark, 0:01:03.065,0:01:06.060 is going to be equal to the number of blueberries 0:01:06.060,0:01:08.834 that each friend gets. 0:01:08.834,0:01:11.922 So 48 divided by six is equal to question mark, 0:01:11.922,0:01:13.954 is the same thing as saying 0:01:13.954,0:01:16.044 that 48, 0:01:16.044,0:01:18.621 48 is equal to, 0:01:18.621,0:01:23.044 is equal to question mark times six, 0:01:23.044,0:01:24.623 times six. 0:01:24.623,0:01:25.760 So if we could figure out 0:01:25.760,0:01:28.117 what number we can multiply by six 0:01:28.117,0:01:29.813 to get 48, 0:01:29.813,0:01:32.598 then we know what 48 divided by six 0:01:32.598,0:01:33.921 actually is. 0:01:33.921,0:01:35.361 For example, this question mark, 0:01:35.361,0:01:37.416 this is the number of blueberries per friend. 0:01:37.416,0:01:41.653 The number of blueberries per friend times six friends, 0:01:41.653,0:01:43.777 well that should tell us the total number of blueberries, 0:01:43.777,0:01:45.542 which is 48. 0:01:45.542,0:01:47.562 So what is this number? 0:01:47.562,0:01:48.560 Well, let's think about, 0:01:48.560,0:01:49.512 let's just think about 0:01:49.512,0:01:51.857 all of the multiples of six. 0:01:51.857,0:01:56.177 So, six times one is equal to six. 0:01:56.177,0:01:59.357 Six times two is equal to 12. 0:01:59.357,0:02:02.178 And really we're just increasing by six each time. 0:02:02.178,0:02:04.534 We're just increasing by six. 0:02:04.534,0:02:07.878 Six times three is equal to 18. 0:02:07.878,0:02:10.954 Six times four is equal to 24. 0:02:10.954,0:02:15.099 Six times five is equal to 30. 0:02:15.099,0:02:18.697 Six times six is equal to 36. 0:02:18.697,0:02:21.495 Six times seven is equal to 42. 0:02:21.495,0:02:23.573 Notice we're just adding six every time. 0:02:23.573,0:02:27.834 Six times eight is equal to 48. 0:02:27.834,0:02:29.993 Is equal to 48. 0:02:29.993,0:02:32.350 So we now know that question mark, 0:02:32.350,0:02:35.948 we now know that the question mark must be eight. 0:02:35.948,0:02:36.889 Six times eight 0:02:36.889,0:02:38.793 and eight times six is the same thing. 0:02:38.793,0:02:40.155 So this is going to be equal 0:02:40.155,0:02:42.716 to six times question mark. 0:02:42.716,0:02:46.408 Six times question mark 0:02:46.408,0:02:47.569 and now we learned 0:02:47.569,0:02:50.332 that question mark is equal to 48. 0:02:50.332,0:02:53.246 Sorry, question mark is equal to eight. 0:02:53.246,0:02:54.407 So, each of her friends 0:02:54.407,0:02:56.473 are going to get eight blueberries. 0:02:56.473,0:02:57.588 So this is, right over here, 0:02:57.588,0:03:02.588 48 divided by six is equal to eight blueberries. 0:03:03.973,0:03:05.807 Now, let's verify that. 0:03:05.807,0:03:08.233 We have 48 blueberries right over here. 0:03:08.233,0:03:10.474 Lets divide them into six groups 0:03:10.474,0:03:13.852 where each group is going to have eight blueberries. 0:03:13.852,0:03:15.024 So let me do my best. 0:03:15.024,0:03:17.385 So let's see, this is one, two, 0:03:17.385,0:03:22.385 three, four, five, six, seven, eight. 0:03:22.930,0:03:25.426 So, that's a group of eight blueberries. 0:03:25.426,0:03:28.630 See, here's another group of eight blueberries, 0:03:28.630,0:03:30.627 right over here. 0:03:30.627,0:03:33.610 And there's another group, right over here, 0:03:33.610,0:03:35.944 of eight blueberries. 0:03:35.944,0:03:37.929 And then, here's our fourth group 0:03:37.929,0:03:40.193 of eight blueberries. 0:03:40.193,0:03:40.912 And now, let's see, 0:03:40.912,0:03:43.052 we can make a fifth group 0:03:43.052,0:03:45.544 of eight blueberries. 0:03:45.544,0:03:47.425 Fifth group of eight blueberries. 0:03:47.425,0:03:48.390 And then, finally, 0:03:48.390,0:03:50.722 here is our sixth group. 0:03:50.722,0:03:51.987 Here is our sixth group 0:03:51.987,0:03:54.031 of eight blueberries. 0:03:54.031,0:03:54.729 So notice, 0:03:54.729,0:03:56.921 we have six groups of eight blueberries. 0:03:56.921,0:03:58.349 Each of her six friends 0:03:58.349,0:04:00.160 could take one of these groups 0:04:00.160,0:04:01.873 of eight blueberries.