General rule for representing decimals on a number line:
Step 1: Let us first find on which two integers where the decimal number lie.
Step 2: Divide the length between those two integers into ten equal parts.
Step 3: Move as many steps you want from the preceding integer to the right.
Step 4: You will reach the decimal number on the number line.
Locate \(0.5\) on the number line.
Step 1: The decimal number \(0.5\) lies between \(0\) to \(1\).
Step 2: Divide the length between \(0\) to \(1\) into ten equal parts.
Step 3: Move five-step to the right from \(0\).
Step 4: The reached number in the number line is \(0.5\).
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, \(67.62\) \(>\) \(33.41\).
Adding zeros at the right end of decimal digits do not change the value of that decimal number.
1. \(25.1 = 25.10\)
2. \(621.035 = 621.0350\)