3.OA.6 - Meaning of Division (Singapore Math) - By MathwithMrAlmeda
00:0-1 | Welcome back , mathematicians to math with Mr Almeida today | |
00:04 | we're gonna be talking about division . And when we | |
00:09 | talk about division , you might be wondering why , | |
00:12 | If we're talking about division , you actually see a | |
00:15 | multiplication problem right here . And it's an interesting question | |
00:19 | that you ask . But today I'm going to explain | |
00:22 | to you what really division is all about , because | |
00:25 | once you understand what multiplication is about , then you | |
00:28 | truly understand what division is all about . So I'm | |
00:31 | gonna start with multiplication . Um , you've basically seen | |
00:34 | this fact before For times eight is equal to 32 | |
00:40 | . Um , that means four times a is 32 | |
00:43 | . So I'm going to get here and actually call | |
00:48 | the I'm gonna name the names that we call numbers | |
00:52 | that we used to multiply . So for is a | |
00:55 | number that we're that we're using to multiply and eight | |
00:59 | is the number that we're using to multiply as well | |
01:02 | . The numbers that we use to multiply are actually | |
01:05 | called factors factors and a factor is a number that | |
01:14 | is used to multiply . So we can say that | |
01:18 | for is a factor and eight is a factor and | |
01:22 | they produce . They make ah product of third of | |
01:27 | 32 . So the answer we get after we multiply | |
01:30 | is called the product . It's called the product . | |
01:34 | So we have for is a factor and a is | |
01:38 | a factor . Both the factors four and eight , | |
01:41 | um , when multiplied by each other , make a | |
01:46 | product of 32 . So again , I just want | |
01:48 | to focus on this word factor . Because once you | |
01:50 | understand what a factor is , it makes your world | |
01:53 | a whole lot easier when it comes to division . | |
01:55 | So once again , in multiplication , um , the | |
01:59 | four is a factor , and the eight is a | |
02:02 | factor . Um , when I multiply the factors together | |
02:06 | , I get a product of 32 . So four | |
02:09 | times eight is 32 4 and eight are factors . | |
02:12 | Um , in this problem , once you understand that | |
02:16 | and you know your basic multiplication fax , like four | |
02:19 | times 8 . 30 to 5 times four is 26 | |
02:24 | times nine is 54 . Once you know those basic | |
02:28 | fax , um , then we can actually move forward | |
02:32 | . Uh , let me just write this down again | |
02:33 | . So we have six times nine equals 54 . | |
02:40 | And so we're saying that six is a factor and | |
02:44 | nine is a factor and they're making a product of | |
02:48 | 54 . So both six and nine are both factors | |
02:56 | , so that's a factor . And this is a | |
02:58 | factor as well . Six is a factor and nine | |
03:01 | is a factor . One more problem , Uh , | |
03:03 | two times seven Now to is a factor and seven | |
03:10 | is a factor as well . I think you get | |
03:12 | the point . I'm not going to spend too much | |
03:14 | time on that because I think it speaks for itself | |
03:17 | . And if you need to go back , you | |
03:19 | can always rewind the video to go back . However | |
03:22 | , now , once we understand what factors are and | |
03:25 | we know a multiplication problem is just multiplying factors . | |
03:28 | Now we can move on to division division . Um | |
03:37 | , you've been told that division has something to do | |
03:39 | with multiplication , but I'm gonna make it so clear | |
03:42 | for you . Toe . Explain to you what division | |
03:44 | is Division is simply an unknown factor problem . That's | |
03:50 | all it iss . So you know what ? You're | |
03:53 | going to get it the end . You're just trying | |
03:55 | to find some number to multiply by another number to | |
03:59 | get a certain number . That's what division is . | |
04:02 | So you've been asked in the past to find 32 | |
04:04 | divided by eight . Basically , what this is saying | |
04:08 | is we want to find a number that when we | |
04:13 | multiply by eight , we get 32 . So 32 | |
04:19 | divided by eight can also be thought of as an | |
04:22 | unknown factor problem . By thinking about it this way | |
04:25 | , you can say eight times what number equals 32 | |
04:33 | eight times what number equals 30 to what we know | |
04:36 | . That eight times four is 32 . So essentially | |
04:40 | , that is all we're being asked to do . | |
04:41 | We're being asked to find the unknown factor . That's | |
04:45 | what a division problem is . So when you see | |
04:47 | 32 divided by eight , you're really being asked eight | |
04:51 | times what number gives me 32 eight times what number | |
04:58 | gives me 32 . And the answer to that question | |
05:01 | is four . So that's why 32 divided by eight | |
05:05 | is four . Let me give you another example . | |
05:10 | So when you when you see this division problem , | |
05:13 | say , for example , you have , uh , | |
05:17 | 40 divided by five , you're really being asked what | |
05:29 | problem ? Five times what number equals 40 right , | |
05:38 | five times what number equals 40 . And in fact | |
05:41 | , let me get rid of this equal sign . | |
05:43 | I misused it . Me ? Just erase this . | |
05:49 | Okay ? What you're really being asked is go back | |
05:57 | to the pen . Okay , so we have 40 | |
06:00 | . Divided by five is really asking you five times | |
06:03 | what number equals 40 . Or you can rewrite it | |
06:10 | . The way you see it , you can say | |
06:12 | five times What number gives you 40 . And the | |
06:15 | answer to that ? The missing factor that we multiply | |
06:19 | five by is eight . And that's why the answer | |
06:23 | to 40 divided by five is eight . So we | |
06:26 | have five times eight is equal to 40 . So | |
06:30 | when you see a division problem , it's really an | |
06:33 | unknown factor . Problem ? All you really have to | |
06:36 | memorize are your multiple . You really have to know | |
06:39 | . Here are your multiplication fax to solve the vision | |
06:42 | problems . For example , if you see this problem | |
06:45 | here might say four times what number equals 12 . | |
06:51 | Well , this looks like this looks like it's a | |
06:54 | multiplication problem , but it's not because what am I | |
06:57 | missing ? I'm missing a factor . So because I'm | |
07:00 | missing a factor , I am missing a factor . | |
07:08 | This is a division problem . So what I'm really | |
07:12 | being asked is four times what number equals 12 and | |
07:16 | the and the missing factor is three . So written | |
07:20 | a different way . The question could have been asked | |
07:23 | . 12 divided by four equals What number ? Basically | |
07:29 | , what you would say issue would say four times | |
07:32 | . What number gives me a product of 12 ? | |
07:36 | And the answer to that is three . And that's | |
07:38 | why 12 Divided by forest three . Let me give | |
07:41 | you one more division problem . Let's choose different colleges | |
07:45 | for fun here . So we have 24 divided by | |
07:55 | four is equal to what ? So basically all you | |
08:02 | have to ask yourself this . Say what number I | |
08:04 | have to find the number that makes 24 when multiplied | |
08:08 | by four . What number do I multiply four by | |
08:12 | to get 24 ? Well , the answer is six | |
08:16 | . So again , going back to this , all | |
08:18 | you really have to know are your multiplication fax . | |
08:22 | And if you know them clearly , division is going | |
08:25 | to really be very simple for you all you're being | |
08:29 | asked and this is the way to look at it | |
08:32 | . This first number is what you're trying to get | |
08:34 | to . You're basically looking at this number to the | |
08:38 | right of the division sign and saying , What number | |
08:41 | do I have to multiply ? This This number by | |
08:43 | to get this number . What number do I have | |
08:46 | to multiply the five by to get 40 and the | |
08:50 | answers ? Eight . What number do I have to | |
08:51 | multiply the four by to get 12 f Multiply four | |
08:55 | by three . And what number do I have to | |
08:57 | multiply four by to get 24 I have to multiply | |
09:01 | four times six . So thinking about it that way | |
09:04 | will really help you to understand what division is again | |
09:07 | . Division is just unknown . Factor Problem when you | |
09:10 | walk away from this video , if you can repeat | |
09:12 | to yourself three times , division is just an unknown | |
09:15 | factor . Problem division is just an unknown factor . | |
09:19 | Problem division is just an unknown factor problem . You | |
09:23 | will walk away understanding what division is with whole numbers | |
09:27 | . Help you enjoy and continue your journey with mathematics | |
00:0-1 | . |
DESCRIPTION:
Mr. Almeida explains the meaning of division as an "unknown factor problem." This illustrates 3.OA.6 in the grade 3 Common Core Standards for Mathematics.
OVERVIEW:
3.OA.6 - Meaning of Division (Singapore Math) is a free educational video by MathwithMrAlmeda.It helps students in grades 3 practice the following standards 3.OA.B.6.
This page not only allows students and teachers view 3.OA.6 - Meaning of Division (Singapore Math) but also find engaging Sample Questions, Apps, Pins, Worksheets, Books related to the following topics.
1. 3.OA.B.6 : Understand division as an unknown-factor problem. For example, divide 32 ÷ 8 by finding the number that makes 32 when multiplied by 8. .