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General rule for comparing decimals:
Step 1: First compare the highest place values of whole parts of two decimal numbers.
Step 2: If the highest place values of two decimals are the same, then compare the second-highest place of digits.
Step 3: If the whole part is the same, then compare the decimal part of tenth place.
Step 4: If it is also same, then compare the decimal part of the hundredth place. The same procedure can be extended to any number of decimal digits.
Step 2: If the highest place values of two decimals are the same, then compare the second-highest place of digits.
Step 3: If the whole part is the same, then compare the decimal part of tenth place.
Step 4: If it is also same, then compare the decimal part of the hundredth place. The same procedure can be extended to any number of decimal digits.
Example:
1. Compare 67.62 and 33.41.
Here, the highest place value is tens place, which is different in both the numbers.
6 > 3
Therefore, 67.62 > 33.41.
2. Compare 56.75 and 56.77.
Step 1: Here, the whole part 56 is same in both the numbers.
So, compare the tenth place.
Step 2: Tenth place of both numbers are 7 and 7. They are also same.
So, compare the hundredth place.
Step 3: Hundredth place of both numbers are 5 and 7. Here, 5 < 7.
Therefore, 56.75 < 56.77.
Adding zeros at the right end of decimal digits do not change the value of that decimal number.
1. 25.1 = 25.10
2. 621.035 = 621.0350
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