Comparision of Numbers

COMPARISION OF NUMBERS:

We compare two numbers to find out which is greater or smaller or equal by using >,<, = signs.

(i)  We use Equal to ( = )  sign, if the digits places in the given two numbers are Equal.

(ii) In the given numbers, if one of the number is greater than the other number, then we will use Greater than symbol (>).

(iii) In the given number, if one of the number is lesser than the other number, then we will use Lesser than symbol (<).    

In comparision of two numbers, we have to check two cases:

Case(i)  Numbers with Different number of Digits.

Case(ii) Numbers with the Same number of Digits.

 

Case (i) Numbers with Different number of Digits:

If  two numbers have different number of digits, the number with more digits is greater.

1) Compare 8349 and 937

Answer:

In the number 8349,the number of digits are : 4

The number 937, the number of digits are : 3

The number 8349 has more digits than the number 937,therefore

Th	H	T	O
8	3	4	9

H	T	O
9	3	7

 

        

  Number of digits = 4               >   Number of digits = 3                                       

   8349 > 937  

 

 

2) Compare 659 and 5094

Answer:

The number of digits in 659 are: 3

The number 5094,the number of digits are 4,which is greater than 3.Therefore;

H	T	O
6	5	9

Th	H	T	O
5	0	9	4

 

  

Number of digits = 3     <     Number of digits = 4

659 < 5094

    (or)

5094 >  659 .

 

3) Compare 126 and 78

Answer:

H	T	O
1	2	6

T	O
7	8

                                   

           

Number of digits = 3   >   Number of digits = 2

126 > 78

 

4) Compare 90000 and 9523

Answer:

TTh	Th	H	T	O
9	0	0	0	0

Th	H	T	O
9	5	2	3

 

 

Number of digits = 5                       >         Number of digits = 4

90000 > 9523

 

5) Compare 36 and 387

Answer : 36 < 387.

                    (or)

                387 > 36 .  

 

 

  Case(ii) Numbers with Same number of Digits:

If two numbers have the same number of digits, then compare the digits at the greatest place.We have to continue comparing the digits place until we find different digits at the same place.The number with the greater digit at its place is greater.

 

1) Compare 5764 and 5839

Answer:             

The two numbers have same number of digits i.e; 4. So, we have to compare the digits in greatest place of the two numbers. The greatest place of the two numbers are Thousands place.

The Thousands Place digit in two numbers are same = 5. So, we have to compare the next digit place i.e; Hundreds place. The digits in the Hundreds place are 7 and 8 ( 7 < 8 ).In Hundreds place we found different digits. Therefore, we stop comparing the next digit places.

    

5764 < 5839  

      (or)  

  5839  >  5764 .

  

2) Compare 4987 and 2376

Answer:

The greatest place value of the digits are Thousands place.So, we have to compare the digits in Thousands place,which are different.The number with the greater digit at its place is the greater number.

4987 > 2376

 

3) Compare 3584 and 3588

Answer:

 In this problem, the digits in Thousands , Hundreds ,Tens place have Same values. So, we have to compare the digits in the Ones place.

3584 < 3588 

      (or)

 3588 > 3584

 

4) Compare   6820 and 6873

Answer:

Here, the digits have the same values at Thousands, Hundreds places. So, we have to compare the digits at Tens place.

6820 < 6873 

    ( or ) 

 6873 > 6820.