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Division - Different Methods
GenX-Education
Follow
7/26/2024
Category
📚
Learning
Transcript
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00:00
Hi kids! Today we will be learning how we can use division in our problems. So let's start!
00:12
Here are six pencils. How will you divide or distribute them between two kids? Let's see!
00:26
For distributing or dividing the pencils between two, give one at a time to each kid till none is left.
00:41
See? So each kid will get three pencils. That is six divided by two equals three.
00:55
This method of division is called distribution.
01:02
Now let's learn another way.
01:07
There are twenty candies. How many sets of four candies can we make from twenty?
01:18
Subtract four from twenty, we get sixteen.
01:24
Again, subtract four, we get twelve.
01:30
Again, subtract four, we get eight.
01:36
Again, subtract four, we get four.
01:42
Once again, subtract four, we get zero.
01:48
So we can subtract four five times from twenty.
01:55
Or, we can make five sets of four candies from twenty candies.
02:03
Or, four candies will be there in each set if we divide twenty into five groups.
02:13
We say it as twenty divided by four equals five.
02:22
Also, twenty divided by five equals four.
02:30
So division is a problem of repeated subtraction.
02:37
Let's learn division in another way.
02:42
Here are thirty chocolates and we have to divide or distribute them in six kids.
02:53
How many chocolates will each kid get?
02:58
Here is another method.
03:02
Just think how many times six can go into the other number, that is thirty.
03:11
Or, six multiplied by what gives us thirty?
03:17
Memorize the table of six and think.
03:23
Yeah, six times five gives us thirty.
03:30
That is, six can go into the number thirty five times.
03:38
So, each kid will get five chocolates. Good!
03:45
Now we have learned three methods of division.
03:50
One is the distribution.
03:54
Other is repeated subtraction.
03:58
And the third is finding the nearest multiple.
04:04
Now, let's learn another way.
04:08
It's the mathematical division.
04:12
Let's learn.
04:15
There are eighty-four apples.
04:18
If we distribute them in four girls, how many apples will one girl get?
04:26
So, we have to divide eighty-four by four.
04:33
Here we will learn mathematical division or the long division method.
04:41
The number that we have to divide is dividend.
04:47
The number with which we are dividing is the divisor.
04:54
And the answer that we will get will be our quotient.
05:00
And if any number is left after the division, that is called remainder.
05:10
First of all, write like this.
05:14
Here, four is our divisor.
05:18
Eighty-four is our dividend.
05:22
Now, the first step in long division method is find the number.
05:31
That is find how many times the divisor can go into the first digit of the dividend.
05:41
Think this way.
05:44
Four multiplied by what gives us something equal or less than eight?
05:52
Four multiplied by two gives us eight.
05:58
So, two is the number we want.
06:04
Write it in the quotient.
06:07
Now, the second step is multiply.
06:12
Here, multiply the divisor with number we found in the previous step and write the product below.
06:23
Now, following the third step is the subtract.
06:32
Here, subtract the multiple from the first digit of divisor and write the difference below.
06:43
Now, following the fourth step of long division method, that is bring down.
06:52
Here, bring down the next digit in divisor if any left and write it below.
07:02
Now, we have followed the four steps of long division method.
07:10
Now, repeat all the steps till no digit is left in the divisor to bring down.
07:19
First step is find the number.
07:23
Find how many times the divisor can go into the number four.
07:30
Think this way.
07:32
Four multiplied by what gives us a number which is less than or equal to four?
07:42
Four multiplied by one gives us four.
07:48
So, one is the number we want.
07:53
Write it in the quotient.
07:56
Next step is multiply.
08:00
Multiply the divisor with one.
08:04
Four multiplied by one gives us four.
08:10
Write the multiple below like this.
08:15
Third step is subtract.
08:20
Now, subtract and write the difference below.
08:26
Now, we have no more digit left in the divisor to bring down.
08:33
Hence, the division is complete and no remainder is left.
08:41
Here, divisor is four.
08:45
Dividend is 84.
08:49
Quotient, we got that is our answer is 21.
08:55
And the remainder is zero.
08:59
If we divide 84 apples in four girls, each girl will get 21 apples.
09:08
Good!
09:10
So kids, let's take more examples for practice.
09:15
We have to divide 20 by 5.
09:20
First step is find the number.
09:24
That is, find how many times the divisor can go into the first digit of dividend.
09:35
But the first digit is smaller than divisor.
09:40
So, find how many times the divisor can go into the first two digits of the dividend.
09:50
Think this way.
09:53
Five multiplied by what gives us a number which is less than or equal to 20.
10:03
Yeah!
10:05
Five multiplied by four is 20.
10:10
So, four is the number we want.
10:14
Write it in the quotient.
10:17
Now, the second step is multiply.
10:23
Now, multiply five with four and write the multiple below.
10:30
Now, the third step is subtract.
10:35
Now, subtract and write the difference below.
10:40
Now, we have no number in the divisor to bring down.
10:45
So, we can't follow the fourth step and the division is complete.
10:52
Five is divisor.
10:56
Twenty is dividend.
10:59
Four is quotient and remainder zero.
11:06
So, 20 divided by 5 is 4.
11:12
Good!
11:14
Now, let's take another example.
11:19
We have to divide 52 by 5.
11:24
Let's start.
11:27
The first step is find the number.
11:31
That is, find how many times the divisor can go into the first digit of dividend.
11:39
Think this way.
11:41
Five multiplied by what gives us a number which is less than or equal to 5.
11:50
So, one is the number we want.
11:54
Write it in the quotient.
11:57
Now, the second step is multiply.
12:02
Now, multiply five with one and write the multiple below.
12:09
Now, the third step is subtract.
12:13
Now, subtract and write the difference below.
12:18
Now, fourth step is bring down.
12:23
Make an arrow and bring down the next number in the dividend.
12:30
Now again, follow the steps.
12:34
The first step is find the number.
12:38
That is how many times the divisor can go into 2.
12:45
Think this way.
12:47
Five multiplied by what gives us a number which is less than or equal to 2.
12:57
Five multiplied by zero gives us zero.
13:03
So, zero is the number we want.
13:07
Write it in the quotient.
13:10
Now, the second step is multiply.
13:16
Now, multiply five with zero and write the multiple below.
13:25
Now, the third step is subtract.
13:30
Now, subtract and write the difference below.
13:34
The fourth step is bring down.
13:39
We have no number in the dividend to bring down.
13:44
So, our division is complete.
13:48
Five is divisor.
13:52
Fifty-two is dividend.
13:56
Ten is quotient.
13:59
And the remainder is 2.
14:03
Remainder.
14:05
What does remainder mean?
14:09
If we divide 52 things in 5 person,
14:14
each person will get 10 things and 2 will be left undivided.
14:21
So, 2 is the remainder.
14:25
Good!
14:28
So, what have we learnt?
14:30
What is division and its various methods?
14:35
Now, you may go ahead and take a quiz to learn more.
14:39
Bye-bye!
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