Category : 4th Class
Large Numbers
Synopsis
No. of digits 
Smallest Counting Number 
Largest Counting Number 
1 
1 
9 
2 
10 
99 
3 
100 
999 
4 
1000 
9999 
5 
10000 
99999 
6 
100000 
999999 
Place Value Chart:
Lakshs Period 
Thoudands periods 
Ones period 

Ten lakhs 
Lakhs 
Ten Thousands 
Thousands 
Hundreds 
Tens 
Ones 
10 ones 
= 1 ten 
10 tens 
= 1 hundred 
10 hundreds 
= 1 thousands 
10 thousands 
= 1 ten thousands 
10 ten thousands 
= 1 lakh 
10 lakhs 
= 1 ten lakh 
1000 ones 
= 1 hundred 
100 tens 
= 1 thousand 
100 thousands 
= 1 lakh 
Lakhs period 
Thousand period 
Ones period 

TL 
L 
T. Th 
Th 
H 
T 
O 

6 
9 
4 
5 
3 
7 
e.g., In the place value of 9 is as 9 is in the ten thousands place.
e.g., In the face value of 5 is 5 and not 500.
Rules for comparison of numbers:
e.g.,
e.g.,
e.g.,
Ordering of numbers:
(a) Ascending order:
The numbers arranged from the least to the largest are said to be in ascending order.
e.g., 2093, 5146, 7001, 8965, 9900 are in ascending order.
(b) Descending order:
The numbers arranged from the largest to the least are said to be in descending order.
e.g. 9900, 8965, 7001, 5146, 2093 are in descending order.
Estimation:
Rounding numbers to get their approximate values to a specified level of approximation is called estimation.
We use the approximation sign to stand for "approximately equal to".
The estimated value is different from the actual value.
The best estimate is the one in which the difference between the estimated value and the actual value is the least.
Rounding numbers:
Place to which a number is to be estimated 
Place of the digit to be considered 
Value of the digit considered 
What must be done 
Examples 
10

Ones

04 
Replace ones digit with 0 
so, 23 rounded to the nearest 10 is 20. 
59 
Replace ones digit with 0. Add 1 to tens digit . 
So, 142 rounded to the nearest 100 is 100 

100 
Tens 
04 
Replace ones and tens digits with 0. 
So, 142 rounded to the nearest 100 is 100. 
59 
Replace ones digit with 0. Add 1 to hundred digit. 
So, 161 rounded to the nearest 100 is 200 

1000 
Hundreds 
04 
Replace ones, tens and hundreds digits with 0. 
So, 3234 rounded to the nearest 1000 is 3000. 
59 
Replace one, tens and hundreds digits with 0. Add 1 to thousands digit. 
So, 35.9 rounded to the nearest 1000 is 4000. 
Rules for rounding off numbers:
(i) While rounding off numbers, it is important to note the place value which has to be rounded off.
(ii) Look at the digit that is after the digit in that place value.
(iii) If the digit is greater than or equal to 5, we round up the number.
(iv) If the digit is lesser than 5, we round down the number.
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