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MXXI Roman Numerals

MXXI Roman Numerals can be written as numbers by combining the transformed roman numerals i.e. MXXI = M + XX + I = 1000 + 20 + 1 = 1021. The higher roman numerals precede the lower numerals resulting in the correct translation of MXXI Roman Numerals. In this article, we will explain how to convert MXXI Roman numerals in the correct number translation.

  • MXXI = M + XX + I
  • MXXI = 1000 + 20 + 1
  • MXXI = 1021
MXXI Roman Numerals

How to Write MXXI Roman Numerals?

The numerical value of MXXI Roman Numerals can be obtained by using any of the two methods given below:

Method 1: In this method, we break the roman numerals into single letters, write the numerical value of each letter and add/subtract them.

  • MXXI = M + X + X + I = 1000 + 10 + 10 + 1 = 1021

Method 2: In this method, we consider the groups of roman numerals for addition or subtraction such as,

  • MXXI = M + XX + I = 1000 + 20 + 1 = 1021

Therefore, the numerical value of MXXI roman numerals is 1021.

☛ Also Check: Roman Numerals Calculator

What are the Basic Rules to Write Roman Numerals?

  • When a bigger letter precedes a smaller letter, the letters are added. For example: LX, L > X, so LX = L + X = 50 + 10 = 60
  • When a smaller letter precedes a bigger letter, the letters are subtracted. For example: CM, C < M, so CM = M - C = 1000 - 100 = 900
  • When a letter is repeated 2 or 3 times, they get added. For example: MMM = M + M + M = 1000 + 1000 + 1000 = 3000
  • The same letter cannot be used more than three times in succession.

Numbers Related to MXXI Roman Numerals

Roman numerals were used in ancient Rome and utilized combinations of letters using the Latin alphabets I, V, X, L, C, D, and M. It may seem different than numbers, but they are similar. For example, MXXI Roman numerals are equivalent to the number 1021. The roman numerals related to MXXI are given below:

  • MXX = 1000 + 20 = 1020
  • MXXI = 1000 + 20 + 1 = 1021
  • MXXII = 1000 + 20 + 2 = 1022
  • MXXIII = 1000 + 20 + 3 = 1023
  • MXXIV = 1000 + 20 + 4 = 1024
  • MXXV = 1000 + 20 + 5 = 1025
  • MXXVI = 1000 + 20 + 6 = 1026
  • MXXVII = 1000 + 20 + 7 = 1027
  • MXXVIII = 1000 + 20 + 8 = 1028
  • MXXIX = 1000 + 20 + 9 = 1029

MXXI Roman Numerals Examples

  1. Example 1: Find the Sum of MLVIII and MXXI Roman Numerals.

    Solution:

    MLVIII = 1000 + 50 + 8 = 1058 and MXXI = 1000 + 20 + 1 = 1021
    Now, MLVIII + MXXI = 1058 + 1021 = 2079
    Since, MMLXXIX = 2000 + 70 + 9 = 2079
    Therefore, the sum of MLVIII and MXXI roman numerals is MMLXXIX

  2. Example 2: Find the Difference Between MXXI and DCCXLVII.

    Solution:

    Roman Numeral MXXI is equal to 1021 and DCCXLVII is 747.
    Now, MXXI - DCCXLVII = 1021 - 747 = 274
    Since, 274 = CCLXXIV
    Therefore, MXXI - DCCXLVII = CCLXXIV

  3. Example 3: Find the Product of Roman Numerals MXXI and III.

    Solution:

    MXXI = 1000 + 20 + 1 = 1021 and III = 3
    Now, MXXI × III = 1021 × 3 = 3063
    Since, MMMLXIII = 3000 + 60 + 3 = 3063
    Therefore, MXXI × III = MMMLXIII

  4. Example 4: Find the Quotient of 1021 and 725.

    Solution:

    The roman numeral MXXI is 1021 and DCCXXV is 725.
    Now, when we divide MXXI by DCCXXV i.e. 1021 ÷ 725, the quotient is 1.
    Since, 1 = I
    Therefore, MXXI ÷ DCCXXV = I

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FAQs on MXXI Roman Numerals

What is the Value of the MXXI Roman Numerals?

We will write MXXI Roman numerals in the expanded form to determine its value. MXXI = M + XX + I = 1000 + 20 + 1 = 1021. Hence, the value of Roman Numerals MXXI is 1021.

Why is 1021 Written in Roman Numerals as MXXI?

We know that in roman numerals, we write 1 as I, 10 as X, and 1000 as M. Therefore, 1021 in roman numerals is written as MXXI = M + XX + I = 1000 + 20 + 1 = MXXI.

How to Convert MXXI Roman Numerals to Arabic Number?

To convert MXXI Roman Numerals to numbers, the conversion involves breaking the Roman numerals on the basis of place values (ones, tens, hundreds, thousands), like this:

  • Thousands = 1000 = M
  • Tens = 20 = XX
  • Ones = 1 = I
  • Number = 1021 = MXXI

What Should be Added to Roman Numerals MXXI to Get MDCCLXI?

First, we will write MDCCLXI and MXXI in numbers, i.e. MXXI = 1021 and MDCCLXI = 1761. Now, 1761 - 1021 = 740. And, 740 = DCCXL. Therefore, DCCXL should be added to 1021 roman numerals to get MDCCLXI.

What is the Remainder when MXXI is Divided by IV?

MXXI = 1021 and IV = 4 in numbers. On dividing 1021 by 4, it leaves a remainder of 4. Now, 1 = I Therefore, when MXXI is divided by IV, the remainder is I.

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