Theory:

  • Write the integers from the smallest to the greatest.
  • Write the integers from the greatest to the smallest.
Arranging the numbers from the smallest to the greatest is called ascending order.
Example:
Ordering the following integer from the smallest to the greatest.
 
\(-125\), \(84\), \(0\), \(-152\), \(56\).
 
Step 1: First split the positive numbers and negative numbers.
 
\(84\) and \(56\) are positive numbers.
 
\(-125\) and \(-152\) are negative numbers.
 
\(0\) is neither a positive nor a negative number.
 
 
Step 2: The greatest number with a negative sign is the smallest of all.
 
\(-152 < -125\).
 
 
Step 3: Negative numbers are always lesser than zero.
 
\(-152 < -125 < 0\).
 
 
Step 4: The remaining numbers are \(84\) and \(56\). Here \(8 > 5\) (left-most digits).
 
\(-152 < -125 < 0 < 56 < 84\).
 
Thus, the ascending order of the set of values is \(-152 < -125 < 0 < 56 < 84\).
Arranging the numbers from the greatest to the smallest is called descending order.
Example:
Consider the same set of numbers \(-125\), \(84\), \(0\), \(-152\), \(56\).
 
As the descending order is the greatest to the smallest, let us arrange it in reverse order.
 
That is, the descending order of the set of values is \(84\) \(>\) \(56\) \(>\) \(0\) \(>\) \(-125\) \(>\) \(-152\).