Rounding Off Up To Millions

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00:00Hi kids! Today we will learn rounding off and that is up to millions. So first of

00:10all, what is rounding off? Rounding is to replace the number with another one that

00:19has value approximately equal to original number but is simpler, shorter

00:27and easier to represent and use in calculation. It makes the number less

00:35exact but simpler to calculate. Rounding off can be the nearest ten, hundred,

00:42thousand, ten thousand, hundred thousand or even million. Here we will be learning

00:51all today. In rounding off, there are always two options. Either you round up

00:59the number or round down the number. Let's see some examples. Let's round off

01:0845 to the nearest 10. 10's digit here is 4 and there are two options. Either you

01:18round down or round up. Either we can round it up to next 10, that is 50, or we

01:28can round it down to previous 10, that is 40. And it depends upon the digit next to

01:374, that is 1's digit. If the 1's digit is 5 or more, we will round it up and if

01:47the 1's digit is less than 5, we will round it down. Here is the 1's digit, is 5.

01:58So we will round it up, so 45 will be rounded up to next 10, that is 50. Now

02:10let's round 678 to nearest 100. Here again we have two options, as we have to

02:20round the number to nearest 100. So we will either round the number to next

02:26100, that is 700, or round it down to previous 100, that is 600. And it will

02:36depend on the digit on the 10's place. If the digit on the 10's place is 5 or

02:43more, we will round it up and if the digit on the 10's place is less than 5,

02:50we will round it down. And here the 10's digit is more than 5, so the number will

02:58be rounded up to the next 100, that is 700. Now let's round off 1234 to the

03:11nearest 100. Here the 100's digit is 2. We have to round the number to nearest

03:20100. So nearest 100 are 200 and 300. Again it will depend on the 10's digit.

03:32And if the 10's digit is 5 or more, it will be rounded up to next 100. And if

03:40the 10's digit is less than 5, it will be rounded down to nearest 100. Here the

03:4810's digit is less than 5, that is 3. So it will be rounded down to previous

03:56100, that is 200. So our number will be 1200. Now let's move to next example. Now

04:09we have to round off 567,450 to nearest 1000. Digit at 1000's place is 7. So we

04:23have to round it off 7,450 to nearest 1000. The previous digit, that is 56, will

04:34unchanged at their places. As we have to round off this number to nearest 1000,

04:43there will be two options. Either round down to previous 1000, that is to 7000,

04:51or round up to next 1000. And next 1000 will be 8000. And it will depend on the

05:01100's digit that will be rounded up or down. If the digit at 100's place is 5 or

05:10more, it will round up to next 1000. And if the digit at 100's place is less than

05:175, it will be rounded down to previous 1000. And here the digit at 100's

05:25place is less than 5. Before number will be rounded down to previous 1000, that is

05:337000. And also we don't change the digits which are at bigger place than

05:40the digits we are rounding off. So our answer is 567,000. Now let's move to next

05:52example. Now let's round off this big number. It is 4,683,703, the nearest 100,000. First of all,

06:08see the digit which is at 100,000's place. Here the digit at 100,000's place is 6. As the digits

06:19at bigger places will remain unchanged. So we have to round off 683,703 to nearest 100,000.

06:33And we know we have two options. Either round up to next 100,000 or round down to previous

06:45100,000. Previous 100,000 is 600,000. And next 100,000 is 700,000. And it will depend on the

06:5710,000 place. If the digit at 10,000 place is 5 or more, the whole number will be rounded up to

07:08next 100,000. That is 700,000. And if the digit at 10,000 place is less than 5, the whole number

07:20will be rounded down to previous 100,000. That is 600,000. And here the digit at 10,000's place

07:32is more than 5. The whole number will be rounded up to 700,000. Now let's move on to next example.

07:43Here we have again a big number. It is 7,978,465. And we have to round it off to nearest million.

08:00The digit at million's place is 7 again. We have two options. That is either round down to previous

08:12million. That is 7,000,000 or round up to next million. That is 8,000,000. And it will depend

08:21the 100,000's place digit. If the digit at 100,000's place is 5 or more, the number will be

08:32rounded up to next million. And if the digit at 100,000's place is less than 5, the whole number

08:42will be rounded down to previous million. And here the digit at 100,000's place is more than 5.

08:51It's 9. So the whole number will round it off to next million. That is 8,000,000. Now let's take

09:03one more example. Now we have to round off 3,643,849 to nearest 10,000. So first of all,

09:18see the digit at 10,000's place. The digit at 10,000's place is 4. The digits at the bigger

09:28place will stay unchanged. So we have to round off 43,849 to nearest 10,000. That is either round

09:42off to next 10,000. That is 50,000 or round down to previous 1,000. That is 40,000. And the whole

09:53thing will depend upon the digit of 1,000's place. And the digit of 1,000's place is 3. And we know

10:02if the digit is less than 5, then we round it down. And this number will be rounded down to

10:09previous 10,000, and it is 40,000. And we do not change the digits at higher places than the digit

10:20we are rounding off. So the whole number became 3,640,000. So kids, we learned rounding off to

10:33the nearest 10, 100, 1,000, 10,000, or even millions. Now you may go ahead and take a quiz

10:42to learn more. Bye-bye.

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