LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

DECIMALS - COMPARISON OF DECIMALS

__COMPARISON OF DECIMALS -__

**COMPARE THESE DECIMALS. WRITE >, < or =.**

**STEPS FOR ORDERING DECIMALS. -**

__1.)__ CONVERT THE DECIMALS
INTO LIKE DECIMALS BY ADDING ZEROES AT THE END.

__2.)__ FIRST COMPARE THE DIGITS AT THE EXTREME LEFT (THE INTEGRAL PART- BEFORE THE DECIMAL POINT)
ONE BY ONE.

__3.)__ NEXT COMPARE THE DIGITS AFTER THE DECIMAL POINT (DECIMAL PART) ONE BY ONE – tenth,
hundredth, thousandth

**[NOTE: Decimals can also be renamed using a decimal
point. Such as 1 = 1.0, 2 = 2.0, 15 = 5.0, and 148 = 148.0, etc.,**

**Example.1) Compare 25.371 and 125.78**

**Ans.) **

__Step.1)__ In first decimal number 25.371 there is three decimal places, and in second decimal number 125.78 there is two decimal places. Now, we will add a zero (0) to the second decimal to maintain three decimal places in both the given decimal numbers.

__Step.2)__ Now we will compare integral part of both the number, and we find that integral part 125 of second decimal number is greater than integral part 25 of first decimal number. 125 > 25

__Step.3)__ If in comparison, if integral part of given one number is found greater than or lesser than other integral part of given number then not need to compare decimal part of given numbers. So, now we can conclude that, 125.78 is greater than 25.371.

**125.78 > 25.371. (Ans.)**

**Example.2) Compare 328.4 and 328.582**

**Ans.)**

__Step.1)__ In second decimal number 328.582 there is three decimal places, and in first decimal number 328.4, there is one decimal place. Now, we will add two zeros (0) to the first decimal to maintain three decimal places in both the given decimal numbers.

__Step.2)__ Now we will compare integral part of both the number, and we find integral part 328 of first decimal number is equal to integral part 328 of second decimal number. 328 = 328

__Step.3)__ If in comparison, if integral part of given one number is found equal to other integral part of given number then we need to compare decimal part of given numbers. Here we can find that, decimal part 582 of second given decimal number is greater than decimal part 400 of first given decimal number. 582 > 400.

**So, now we can conclude that second given decimal number 328.582 is greater than first given decimal number 328.4. **

**328.582 > 328.4 (Ans.)**

**Example.3) Compare 75.45 and 78.58**

**Ans.) **

__Step.1)__ In first decimal number 75.45 there is two decimal places, and in second decimal number 78.58, there is also two decimal places. So, already there is equal number of decimal places in given both the numbers 75.45 & 78.58.

__Step.2)__ Now we will compare integral part of both the number, and we find integral part 75 of first decimal number is lesser than integral part 78 of second decimal number. 75 < 78 or 78 > 75.

__Step.3)__ If in comparison, integral part of any given decimal number is found greater than or lesser than integral part of other given number, then there is no need to comparison of decimal part of two given decimal numbers.

**So, now we can conclude that second given decimal number 78.58 is greater than first given decimal number 75.45. **

**78.58 > 75.45 (Ans.)**

**Example.4) Compare 220.45 and 220.4**

**Ans.) **

__Step.1)__ In first decimal number 220.45 there is two decimal places, and in second decimal number 220.4, there is one decimal place. Now, we will add one zero (0) to the second decimal number to maintain two decimal places in both the given decimal numbers.

__Step.2)__ Now we will compare integral part of both the number, and we find integral part 220 of first decimal number is equal to integral part 220 of second decimal number. 220 = 220

__Step.3)__ If in comparison, if integral part of given any number is found equal to other integral part of given number then we need to compare decimal part of given numbers. Here we can find that, decimal part 45 of first given decimal number is greater than decimal part 40 of second given decimal number. 45 > 40.

**So, now we can conclude that first given decimal number 220.45 is greater than second given decimal number 220.4. **

**220.45 > 220.4 (Ans.)**

**Example.5) Compare 127.45 and 220.45.**

**Ans.) **

__Step.1)__ In first decimal number 127.45 there is two decimal places, and in second decimal number 220.45, there is also two decimal places. So, already there is equal number of decimal places in given both the numbers 127.45 & 220.45.

__Step.2)__ Now we will compare integral part of both the number, and we find integral part 127 of first decimal number is lesser than integral part 220 of second decimal number. So, 127 < 220 or 220 > 127.

__Step.3)__ If in comparison, integral part of any given decimal number is found greater than or lesser than integral part of other given number, then there is no need to comparison of decimal part of two given decimal numbers.

**So, now we can conclude that second given decimal number 220.45 is greater than first given decimal number 127.45. **

**220.45 > 127.45 (Ans.)**

**Example.6) Compare 124.527 and 124.53**

**Ans.) **

__Step.1)__ In first decimal number 124.527 there is three decimal places, and in second decimal number 124.53, there is two decimal places. Now, we will add one zero (0) to the second decimal number to maintain three decimal places in both the given decimal numbers.

__Step.2)__ Now we will compare integral part of both the number, and we find integral part 124 of first decimal number is equal to integral part 124 of second decimal number. 124 = 124

__Step.3)__ If in comparison, if integral part of given any number is found equal to other integral part of given number then we need to compare decimal part of given numbers. Here we can find that, decimal part 527 of first given decimal number is lesser than decimal part 530 of second given decimal number. So, 527 < 530 or 530 > 527.

**So, now we can conclude that second given decimal number 124.53 is greater than first given decimal number 124.527. **

**124.53 > 124.527 (Ans.)**