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Class III

Numbers Beyond 999


In the previous class, we learnt numbers upto 999. 999 is the biggest 3-digit number.
Do you know, what is 999 + 1?
999 + 1 = 1000 and is read as One Thousand

1000 is the smallest 4-digit number.
9999 is the biggest 4-digit number

Place Value of a digit in a number

Let's consider the number 4256.
In 4256, 4 is in THOUSANDS place.
We can Write 4256 = 4000 + 200 + 50 + 6. The contribution of this particular digit (4) to 4256 is 4000.
So, we can say, The Place Value of 4 in 4256 is 4000.
The Place Value of 2 in 4256 is 200.
The Place Value of 5 in 4256 is 50.
The Place Value of 6 in 4256 is 6.

The Place Value of 0 in any given number is always 0, irrespective of the position of 0 in the number.

Comparison of numbers

We know, when the digits in two numbers are different, the numbers itself are different.
For example, the digits in 4123 and 789 are different and the numbers are also different.
Now we are going to learn which number is bigger and which number is smaller by comparing the numbers.

(i) When the count of digits are different.

Let's Consider 4250 and 526.
We know, 526 is smaller than 4250 since 526 is a 3-digit number and 4250 is a 4-digit number.
526 is smaller than 4250 or 526 < 4250.
Similarly, 4250 is greater than 526 or 4250 > 526.

  • The small end of the signs < and > always point towards the smaller number.
  • The big end of the signs < and > always point towards the bigger number.
  • All the 3-digit numbers are bigger than every 2-digit and 1-digit numbers.

(ii) When the count of digits are same.

Let's Consider 5212 and 6520.
Here both the numbers are 4-digit numbers. In this case, first we need to compare the digits at the thousands place.
We know 5 < 6. So we can say, 5212 < 6520 or 6520 > 5212

Let's Consider 4250 and 4205.
Here both the numbers are 4-digit numbers and the digits in thousands place are also same. In this case, we need to compare the digits at the hundreds place. The digits in hundreds place are also same. In this case, we need to compare the digits at the tens place.
We know 5 > 0. So we can say, 4250 > 4205 or 4205 < 4250

Start comparing the left most digits. If they are same, compare second digits from left. If they are also same, compare the third digit from left. Continue until you find unequal digits at the corresponding places.

Successors and Predecessors

  • The number that comes just after a given number is called its SUCCESSOR.
  • The number that comes just before a given number is called its PREDECESSOR.
  • The successor of a given number is 1 more than the number.
  • The predecessor of a given number is 1 less than the number.

Here is a list of numbers with its successor and predecessor.

NumberSuccessorPredecessor
109110108
200201199
425042514249
9999100009998
528529527

Building Numbers

Consider the digits 2, 5 and 7.
Using these digits only once, we can make the following six 3-digit numbers.
257, 275, 527, 572, 725 and 752
in this list, 752 is the greatest and 257 is the smallest.

  • To build the greatest number, we write the digits in descending order.
  • To build the smallest number, we write the digits in ascending order.

Here is a set of numbers generated from 3 different digits with the greatest and the smallest numbers.

DigitsNumber SetGreatestSmallest
1, 2, 3123, 132, 213, 231, 312, 321321123
4, 0, 747, 74, 407, 470, 704, 74074047
4, 2, 6246, 264, 426, 462, 624, 642642246
5, 1, 8158, 185, 518, 581, 815, 851851158

Even And Odd Numbers

Numbers that are in TWOS are said to be in pairs or called EVEN NUMBERS.
All numbers ending with 2, 4, 6, 8 and 0 are even numbers
All numbers ending with 1, 3, 5, 7 and 9 are called ODD NUMBERS
Look at the numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
We can see that even and odd numbers are coming one after another

In this table, even numbers are coloured in green and odd numbers are coloured in purple.

1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
26 27 28 29 30
31 32 33 34 35
36 37 38 39 40
41 42 43 44 45
46 47 48 49 50