The successor of a number is 1 more than the number.
Predecessor of a number :
The predecessor of a number is 1 less than the number.
To express counting of quantities higher than nine (9), we use the same symbols and follow certain mathematical rules that are used to represent any number.
In the discussion on Single Digit Numbers, when one (1) chocolate was added to the already present nine (9) chocolates, we got the successor to 9 and called it ten and denoted it as 10.
Here, two of the symbols (digits) from the set, 0 and 1 are used with a mathematical rule.
The rule is the place value rule.
The value of the right extreme place is one (1) or unity.
Value of the place increases as it moves to the left.
Value of the place becomes ten times, as we move one place to the left.
So
the value of the place second from right is ten times one and is equal to ten.
So 10 stands for zero ones added to one ten which is ten.
To get higher numbers, we use appropriate digits in the appropriate places.
The successor to 10 is called Eleven and is denoted by 11 ( one one added to one ten.)
The names of subsequent numbers and their notations are
twelve, 12 ( two ones added to one ten.); thirteen, 13 ( three ones added to one ten.); fourteen; 14 ( four ones added to one ten.); fifteen; 15 ( five ones added to one ten.);
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sixteen; 16 ( six ones added to one ten.); senventeen; 17 ( seven ones added to one ten.); eighteen; 18 ( eight ones added to one ten.); nineteen, 19 ( nine ones added to one ten.);
The successor to 19 is called twenty and is denoted by 20. (see, the value is zero ones added to two tens).
The names of subsequent numbers and their notations are twenty one, 21 ( one one added to two tens.); twenty two, 22 ( two ones added to two tens.); twenty three, 23 ( three ones added to two tens.); twenty four, 24 ( four ones added to two tens.); twenty five, 25 ( five ones added to two tens.); twenty six, 26 ( six ones added to two tens.); twenty seven, 27 ( seven ones added to two tens.); twenty eight, 28 ( eight ones added to two tens.); twenty nine, 29 ( nine ones added to two tens.);
The successor to 29 is called thirty and is denoted by 30. (see, the value is zero ones added to three tens.).
The names of subsequent numbers and their notations are similar to the set given above after 20. They are
thirty one, 31 ( one one added to three tens.); thirty two, 32 ( two ones added to three tens.); thirty three, 33 ( three ones added to three tens.); thirty four, 34 ( four ones added to three tens.); thirty five, 35 ( five ones added to three tens.); thirty six, 36 ( six ones added to three tens.); thirty seven, 37 ( seven ones added to three tens.); thirty eight, 38 ( eight ones added to three tens.); thirty nine, 39 ( nine ones added to three tens.);
The next set is, forty denoted by 40 and then forty one, 41 to forty nine, 49.
The other sets are fifty denoted by 50 and then fifty one, 51 to fifty nine, 59. sixty denoted by 60 and then sixty one, 61 to fifty nine, 69. seventy denoted by 70 and then seventy one, 71 to seventy nine, 79. eighty denoted by 80 and then eighty one, 81 to eighty nine, 89. ninety denoted by 90 and then ninety one, 91 to ninety nine, 99.
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In the above example, the value of 96 = 9 tens + 6 ones = 90 + 6 = 96 It is written as ninety six.
The numbers discussed so far are Single Digit Numbers, (0 to 9) and two digit numbers (10 to 99). Let us have an exercise on these one and two digit numbers.
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