Comparing And Ordering Numbers Up To Millions
Transcript
00:00Hi kids! Today we will learn comparing and ordering numbers up to millions.
00:08Let's first learn how to compare two numbers.
00:13There are always two cases in comparing numbers.
00:18When the number of digits in two numbers are different,
00:23rule of thumb is that the number with more number of digits is bigger than the number with lesser number of digits.
00:3223 is less than 678.
00:38As 23 is two-digit number and 678 is a three-digit number.
00:46Here is another example.
00:50Here we have two numbers.
00:53Digits in both the numbers are different.
00:57This is four-digit number and this is six-digit number.
01:02So, we need not compare the numbers.
01:07Simply, the number with more number of digits is bigger.
01:12Second case is when the number of digits in two numbers is same.
01:18Let's learn how we compare numbers when the number of digits in two numbers is same.
01:25First, we compare the numerals at the biggest place in the numbers.
01:30So, we will compare the thousands place here.
01:34Four is bigger than two.
01:37So, the number with bigger numeral at the biggest place is bigger.
01:43So, 4000 is bigger than 2000.
01:48Let's take another example.
01:51Here too, the numbers have equal number of digits.
01:55Both have six digits.
01:58First, we compare the digits at the biggest place.
02:02Both are same.
02:04So, compare the next digits.
02:06Again, both are same.
02:08So, move the next digit.
02:11Nine is bigger than six.
02:15In whichever number we get bigger number first,
02:19while comparing each digit starting from the biggest place,
02:23that number is bigger.
02:26So, 789,000 is more than 786,000.
02:35Let's take another example.
02:38We have to compare these numbers and both have same number of digits.
02:44Let's start comparing digits from left.
02:47And in whichever number we get the bigger digit first,
02:51that number will be bigger than the other one.
02:55Comparing the leftmost digits, both are same.
02:59So, compare the next digits again.
03:02Both are same.
03:04Compare the next digit.
03:06Here, 8 is more than 6.
03:09So, this number is bigger number.
03:12So, kids, let's revise.
03:15When the number of digits in two numbers is same,
03:19compare the digits to two numbers starting from the left.
03:23And in whichever number you get the bigger number first,
03:27that number is the bigger number.
03:30So now, kids, now you know how to compare two numbers.
03:35No matter how bigger they are.
03:38Now, let's arrange these numbers in increasing order.
03:42That is, from smallest to biggest number.
03:46Which one is the smallest number here?
03:4978,967 and 90,909 have the least number of digits.
03:59So, they are the smallest numbers.
04:02Now, compare them for the smaller number between these.
04:06Comparing the first digits we get,
04:0978,967 is a smaller number.
04:15So, 78,967 is smallest.
04:21So, place it first and cross it from the list.
04:26Now, 90,909 is smallest as it has the least number of digits among the numbers left.
04:35So, place it at second place and cross it too from the list.
04:41Now, 100,000 has the least number of digits among the numbers left.
04:48So, place it next and cross it from the list.
04:54Now, numbers left are same digit numbers.
04:58So, compare them.
05:00Comparing their first digits from left, that is 9 and 7.
05:06We get 9,999,999.
05:13So, place it at the last place.
05:17And place 7,890,900 at the second place.
05:25And our increasing order is done.
05:28We have arranged the numbers from smallest to biggest.
05:32Now, let's learn about smallest and greatest numbers of particular digits.
05:39Kids, here is an interesting pattern of smallest and biggest numbers of particular digits.
05:471 is the smallest one-digit number.
05:519 is the largest one-digit number.
05:5510 is the smallest two-digit number.
05:5999 is the largest two-digit number.
06:03100 is the smallest three-digit number.
06:07999 is the largest three-digit number.
06:121,000 is the smallest four-digit number.
06:16And 9,999 is the largest four-digit number.
06:22And so on.
06:24Let's see an interesting thing.
06:28If you add 1 to biggest one-digit number, you get the smallest two-digit number.
06:36That is, adding 1 to 9, you get 10.
06:41If you add 1 to biggest two-digit number, you get smallest three-digit number.
06:49That is, adding 1 to 99, you are getting 100.
06:56And if you add 1 to biggest three-digit number, you get smallest four-digit number.
07:04That is, adding 1 to 999, you will get 1,000.
07:13Now, we will learn how to make biggest and smallest numbers from the given numbers.
07:20Here are four numbers.
07:22We have to form the largest four-digit number using these numbers only.
07:29Also, we do not have to repeat any number.
07:33Okay, kids. Let me help you do that.
07:37We have to make a four-digit number.
07:40We need to have the biggest number at biggest place value to make the biggest number.
07:47So, place the biggest number, that is, 8 at thousands place.
07:53Now, place the next biggest number at next biggest place.
07:58So, place 7 at the hundreds place.
08:02Now, place the next biggest number at next biggest place.
08:08So, place 5 at the thousands place.
08:12Now, place the last number at the ones.
08:16So, place 3 at the ones place.
08:20So, we have made the biggest number using the numbers given to us.
08:26So, 8,753 is the biggest number that you can make using the given digits without repeating any digit.
08:37So, kids, you just need to always arrange numbers in decreasing order if you want to make the biggest number out of them.
08:48And, you just need to always arrange numbers in increasing order if you want to make the smallest number.
08:56Let's see. If you simply arrange these numbers in increasing order, that is, 3578,
09:06you have formed the smallest number possible out of given digits.
09:12So, kids, today we have learned a lot about comparing numbers,
09:17biggest and smallest numbers of particular digits,
09:21and also how we can form the biggest and smallest numbers out of the given digits.
09:28Now, you may go ahead and take a quiz to learn more.
09:32Bye-bye.