Breaking down the value of 1972 into its constituent parts and assigning the corresponding Roman numeral symbols is necessary to express it in Roman numerals. The following step-by-step procedure can be used:
Step 1: Divide the number into thousands, hundreds, tens, and units.
The numerical value of 1972 can be divided into four parts - 1000 (M), 900 (CM), 70 (LXX), and 2 (II).
Step 2: Write down the respective Roman numeral symbols that correspond to each part.
To represent these values in roman numerals, M represents one thousand; CM depicts nine hundred; LXX signifies seventy while II refers to two.
Step3: Combining all these symbols gives us our final answer:
When arranged according to descending order we get MCMLXXII as the equivalent roman numeral for the given decimal number. Therefore, we conclude that MCMLXXII presents the Roman representation of integer value '1972'.
To summarize, the task of converting a number into Roman numerals can become straightforward if you follow certain steps. These include recognizing the distinct elements of the number and allotting appropriate symbols from the set of Roman numerals, which will enable you to compose any desired numeral in this system.