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What Does the Roman Numeral Ix Stand for

IX Roman Numerals

IX Roman Numerals can be written as numbers by combining the transformed roman numerals i.e. IX = (X - I) = (10 - 1) = 9. The higher roman numerals precede the lower numerals resulting in the correct translation of IX Roman Numerals. In this article, we will explain how to convert IX Roman numerals in the correct number translation.

  • IX = (X - I)
  • IX = (10 - 1)
  • IX = 9

IX Roman Numerals

How to Write IX Roman Numerals?

The numerical value of IX 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.

  • IX = (X - I)
    IX = (10 - 1)
    IX = 9

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

  • IX = 9

Therefore, the numerical value of IX roman numerals is 9.

☛ 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: MX, M > X, so MX = M + X = 1000 + 10 = 1010
  • When a smaller letter precedes a bigger letter, the letters are subtracted. For example: XC, X < C, so XC = C - X = 100 - 10 = 90
  • When a letter is repeated 2 or 3 times, they get added. For example: III = I + I + I = 1 + 1 + 1 = 3
  • The same letter cannot be used more than three times in succession.

Numbers Related to IX 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, IX Roman numerals are equivalent to the number 9. The roman numerals related to IX are given below:

  • I = 1
  • II = 2
  • III = 3
  • IV = 4
  • V = 5
  • VI = 6
  • VII = 7
  • VIII = 8
  • IX = 9
  • X = 10

IX Roman Numerals Examples

  1. Example 1: Find the Sum of CDLXV and IX Roman Numerals.

    Solution:

    CDLXV = 400 + 60 + 5 = 465 and IX = 9
    Now, CDLXV + IX = 465 + 9 = 474
    Since, CDLXXIV = 400 + 70 + 4 = 474
    Therefore, the sum of CDLXV and IX roman numerals is CDLXXIV

  2. Example 2: Find the Product of Roman Numerals IX and CCLXVI.

    Solution:

    IX = 9 and CCLXVI = 200 + 60 + 6 = 266
    Now, IX × CCLXVI = 9 × 266 = 2394
    Since, MMCCCXCIV = 2000 + 300 + 90 + 4 = 2394
    Therefore, IX × CCLXVI = MMCCCXCIV

  3. Example 3: Find the Quotient when IX roman numeral is divided by III.

    Solution:

    The roman numeral IX is 9 and III is 3.
    Now, when we divide IX by II i.e. 9 ÷ 3, the quotient is 3.
    Since, 3 = III
    Therefore, IX ÷ III = III

  4. Example 4: Find the Difference Between IX and IV.

    Solution:

    Roman Numeral IX is equal to 9 and IV is 4.
    Now, IX - IV = 9 - 4 = 5
    Since, 5 = V
    Therefore, IX - IV = V

Show Solution >

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FAQs on IX Roman Numerals

What does IX Roman Numerals Mean?

We will write IX Roman numerals in the expanded form to determine its value. IX = (X - I) = (10 - 1) = 9. Hence, the value of Roman Numerals IX is 9.

What Should be Subtracted from IX to Get IV?

First, we will write IX and IV in numbers, i.e. IX = 9 and IV = 4. Now, 9 - 4 = 5. And 5 = V. Therefore, V should be subtracted from IX Roman numerals to get IV.

What is the Quotient when IX Roman Numeral Is Divided by 9?

IX = 9. On dividing 9 by IX, it leaves a remainder = 0 and quotient = 1. Now, 1 = I Therefore, when IX roman numeral is divided by 9, the quotient is I.

How is Roman Numerals IX Written in Numbers?

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

  • IX = (X - I) = (10 - 1) = 9.
  • Number = 9 = IX

Why is 9 Written in Roman Numerals as IX?

We know that in roman numerals, we write 9 as IX. Therefore, 9 in roman numerals is written as IX = 9.

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What Does the Roman Numeral Ix Stand for

Source: https://www.cuemath.com/numbers/ix-roman-numerals/