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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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