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hi everyone this is Vinay from episode prom and today we are going to look at red Assessor and successor and greatest and smallest numbers right up to nine digits we had seen some of these for smaller numbers before but today we are going to start looking that at larger numbers so what is a predecessor and a successor if you look at in nature right like there is definite order in terms of what things happen for example right when a seed becomes a tree right like there is an order in which a seed grows and becomes a tree so there are some things that precede the root of the tree and there are some things that set seed the planting of a seed right so this order is defined by what what we define the terms predecessor and successor the races are just means the one before successor just means the one after right so one step precedes another step and one step succeeds another step similarly late when you E and E D becomes a butterfly there is a definite order right and egg becomes a caterpillar becomes Krishna this becomes an adult and so on so there is a definite order to things in nature and that's what we are trying to capture in these mathematical concepts as well predecessor of a number is simply the number that comes before so if from a number if you subtract minus one you get a predecessor successor of a number is the number that comes after so from a number if you add one you get a successor right so to date predecessor of a number just simply subtract minus one to date a successor just add one let's look at a few examples find the predecessor of 23 867 right if you subtract one from this number you will basically just get 23 eight six six right so 23 eight six seven minus one you will just subtract seven and one right so 7 minus 1 will be 6 and this remaining digits will be the same two three eight six six find the predecessor of 100 million if you subtract one from 100 million right you have to keep on 18 boards right in the subtraction so you will have 0-1 to be 9 with a borrowed taken from the prior zero right and that will also turn to be 9 etcetera etcetera until this first one becomes zero so do the subtraction somewhere we pause the video and feel free to do the subtraction but the predecessor of 100 million is 99 million nine hundred ninety nine thousand nine hundred and ninety nine it's the predecessor of 100 million now a successor of Alcor or 8 lakh 67,000 989 here if you add one to the number this 89 will become 90 and the successor will be biker or eight lat sixty seven thousand nine hundred and ninety and the last example successor of 99,999 if you add one to this number it will simply be 100,000 or 1 lakh depending on the number system you want to write it in in this phase like 99999 + 1 will be 1 lakh so that would be the successor because feel free to do the addition right pause the video into addition but 9 plus 1 will be n so 0 + 1 will be carryover and again the same thing will repeat 9 plus 1 will be 10 and 1 will take carried over until it starts appearing at this place and it becomes 1 lakh just a quickly reminder feel free to subscribe to this channel and ask questions in comments if you have any difficulty regarding this subject or any of the prior videos or anything else in your class and so on and also join us live 5 p.m. every day treat concepts natural numbers and whole numbers you will see these sometimes in your class or questions and so on natural numbers just means the numbers that start from one and continue in infinity we say that they are continued until infinity which is the largest number right or late sees like there is no one number that's going to be the largest it said that infinity is the largest so one two three so on ten eleven hundred 100 million 999 million right like 1 million trillion etcetera etcetera all will go to infinity so natural numbers start from 1 the t thing is they start from 1 whole numbers we add 0 to this particular sequence right at the beginning and that becomes whole numbers so whole numbers start from 0 so 0 is added 0 1 2 3 and so on that's whole numbers without 0 starting from 1 it's natural numbers but then these are just some terms that you should know because they may appear something some questions largest and smallest number smallest two-digit number rate would be ten because nine is one digit number after that comes ten largest two digit number will be 99 cuz after 99 will come 100 then smallest three digit number will be hundred because before that there is no smaller three digit number enlarges three-digit number will be 999 because after that it will be the smallest fortunate number that's thousand and so on like if you see the pattern over here right if you see the pattern the smallest 2 digit 3 digit 4 digit number is always 1 followed by zeros of those such that like the total number is that many digits and the largest 2 digit rigid four digit number is 9 cell period right so that that becomes the largest number those many digits so if we just look at this pattern we can create a table of calculation till nine digits so the table is something like this right so the smallest number of two digits as we said n three digits is hundred forty thousand and so on till nine digits with one followed by eight zeros and the largest number of that peripheral digit like two is 99 three is 999 in nine is nine nines right so that's the largest nine digit number so successor of the largest two digit number is the smallest three digit number because like if you add to the largest two digit number that's 99 if you add 1 to that number you rated successor which is 100 which is the smallest integer number and similarly predecessor of 100 is 99 right so the predecessor of smallest three digit number is the largest two digit number like this is a property worth remembering right and this exchange still like any number of digits rate so the successor of largest eight digit number that's nine eight times is the smallest nine digit number which is 100 million and the predecessor of smallest nine digit number that is 100 million is the largest eight digit number which is 99 million 999,999 let's see some examples find allow just five digit number using the digits three four nine to one only once so the way we can do it is we arrange these numbers from is to smallest that is descending order and use the digit only once so the numbers so arranged will be 9 4 3 2 1 right so that will be the descending order and that's the answer it was that would be the largest number that you can form from these digits the numbers in the descending order so 90 4321 is the answer in this case find the smallest five digit number using the digits six seven zero eight one only ones now we have zero over here now since we want to find smallest fighter jet number let's first arrange this in the ascending order and we want to use each digit only once so we first arrange them in the ascending order and the ascending order is zero one six seven eight okay now zero is the leftmost digit in this number the issue is that light because of the zero being the leftmost digit this actually becomes a four digit number while we want the five digit number so we simply exchange 0 with the next number it is so instead of zero one will make this one zero and that will be the smallest five digit number so after exchanging zero and one the answer is one zero six seven eight so the answer in this case the file digit number smallest using the digits six seven zero eight one only once is 1678 not in query gamma a reminder join us again tomorrow we are here 5:00 p.m. Monday to Friday every day and asked any questions in the comments and subscribe to the channel tweet homework over here the right the predecessor and successor of the numbers given below and there are a few additional questions around what we learn today so feel free to pause the video take this down do it share