Decimal Numbers- Comparisions

 DECIMAL NUMBER COMPARISION:

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

(i)  We use Equal to ( = )  sign, if the given digits place value of two decimal numbers are Equal.

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

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

In comparision of two decimal numbers, we have to check the Whole part and the Decimal part.

Case(i)

If the Whole part digits place values in the two given decimal numbers are equal,then we have to check the decimal part.

While comparing the digits place values in the decimal part, we have to consider from Left --> Right from the Decimal point. i.e; from decimal part greatest place value: Tenths place, next greatest place value is Hundredths, next Thousandths and so on.

1) Compare 141.234 and 141.094

Answer:

In the decimal numbers, the Whole part number ,i.e; 141 is same in the two decimal numbers . So, we have to compare the decimal digits place value of the given numbers.

The decimal digits in the number are 234 and 094.When compared the two decimal digits,the decimal digit 234 is greater than decimal digit 094.Therefore, the decimal number 141.234 is greater.

 

141.234 > 141.094

2) Compare 95.136 and 95.181

Answer:

In the two decimal numbers, the Whole part digits : 95 are equal. So, we compare the decimal part digits place values.

 

95.136  <  95.181

(or)

95.181 > 95.136

 

 

3) Compare 0.283 and  0.4

Answer:

Here, also the whole part digit is same i.e; 0

The decimal part digits place value is to be compared. The two decimal part number of digits are not same. With that we can’t say that the decimal part having more number of digits is greater.

We have to make the two decimal part digits same. When we put Zeroes at the Right most part of the number, the number value doesn’t change.

i.e; 0.4 = 0.400  ,  but 0.4 # 0.04

 

0.283 < 0.4

   (or)

0.4 > 0.283

 

Case(ii)

If the Whole part digits place value in the number are not equal,we have to compare the digits places values in the Whole part . In this case there is no need to compare the digits place values in the Decimal part.

 

1) Compare 456.87 and 368.96

Answer:

In this problem, the whole part digits place value are different. So, we have to compare the Whole part number and have to find which number is greater.

There is no need to compare the Decimal part digits place value ,even though the decimal part number is greater or lesser.

Here, the decimal part digit 96 > 87.But in the decimal number the whole part digit number

456 > 368.

Based on the Whole part digits place value of the number only we have to tell the number is Greater or Lesser.

 456. 87   >  368.96

 

2) Compare  7523.923 and 7860.563

Answer:

Here, the Whole part digits places are not same,so we have to compare only Whole part.There is no need to compare Decimal part digits even though the Decimal digits of a number are greater or lesser.

7523.923 < 7860.563

       (or)

7860.563 > 7523.923