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227 LearnersLast updated on February 19th, 2025
IX in Roman Numerals
IX in Roman Numerals is the representation of the number 9. It can be written as numbers by combining the converted Roman numerals, like IX = (X-I) = (10-1) = 9. Did you know? Roman numerals are used in daily life for numbering monuments, monarchs or time period.
What is IX in Roman Numerals?
According to the symbols used for Roman Numerals, I denote 1 and X denotes 10. Symbols are placed in a variety of ways, to represent the numbers. We join these symbols through rules assigned for Roman numerals, to get IX, i.e., 9. In the next section, we will see how the rules work to represent numbers.
Basic Rules for 9 in Roman Numerals
Rule 1: Addition method
When a letter with greater numerical value precedes a letter with smaller numerical value, the letters are added.
Ex: XI, where, X=10 and I=1, X > I. So,
XI=X+I=10+1=11.
Rule 2: Repetition Method: If a letter repeats itself for two or three times, the letters are added together. Ex: XXX, where X=10, so, XXX=X+X+X=10+10+10=30
Rule 3: Subtraction method
When a letter with smaller numerical value precedes a letter with greater numerical value, the letters are subtracted.
Ex: XL, where, X=10 and L=50, X < L. So,
XL=L-X=50-10=40.
Here, for IX, the Subtraction method applies. IX=X-I=10-1=9.
Rule 4: Limitation Rule
The same letter or symbol cannot be repeated more than thrice. Ex: 40=XL, and 40≠ XXXX.
IX in Roman Numeral by Expansion Method
This method involves breaking down numbers into parts based on place values like thousands, hundreds, tens, or ones. Each place value is then expressed as Roman numeral equivalent.
This method works by:
i) Expand and break the number into its place values.
ii) Convert each place value into an equivalent Roman numeral.
iii) Combine the acquired Roman numerals to get the result
Ex: 952
900 → 1000-100 = M-C =CM
50 → L
2 → II
Combining, CMLII
Ex : 94
90 →100-10=C- X= XC
4 → IV
Combining, XCIV
IX in Roman Numeral by Grouping Method
This method involves breaking down of larger Roman numerals into smaller, based on the values of individual Roman numeral symbol. This method works by:
i) Identifying groups: Look for numerals that should be added together or subtracted, based on the Addition and Subtraction rules explained in the previous section.
ii) Break into smaller and simpler parts.
iii) Add or subtract values.
Ex: LXXXIX
L → 50
XXX : 30→ X+X+X=10+10+10=30
IX → 9
Add 50+30+9 =89
Ex: XCVII
XC : 90 →100-10=90
V →5
II: 2→I+I=1+1=2
Add 90+5+2=97
Numbers Related to IX in Roman Numerals
Roman Numerals are the counting system that originated in ancient Rome. This system involves letters I, V, X, L, C, D, M and these are combined to produce different whole numbers.
Here is the list of Roman numerals related to IX:
I : represents 1
II : represents 2
III : represents 3
IV : represents 4
V : represents 5
VI : represents 6
VII : represents 7
VIII : represents 8
IX : represents 9
X : represents 10
Common Mistakes and How to Avoid Them in IX
While learning about IX, it is possible to commit mistakes. You can avoid making these mistakes by being more careful, mentioned below.
Mistake 1
Applying addition rule instead of subtraction rule for IX
Remember that addition rule can only be applied if a small number is written to the right of a number with greater value. We cannot apply addition rule for IX because I→1 comes before X→10. For IX, we can apply subtraction rule.
IX in Roman Numerals Examples
Problem 1
Add VIII and IX
VIII + IX means 8 + 9 which is 17.
So, VIII + IX = XVII, where XVII represents 17.
Answer : 17 → XVII
Explanation
Convert the Roman numerals into numbers and perform addition.
Problem 2
Subtract XLIX - IX .
XLIX - IX means 49–9 which is 40.
So, XLIX - IX = XL, where XL represents 40.
Answer: 40 → XL
Explanation
Convert the Roman numerals into numbers and perform subtraction.
Problem 3
Multiply IX with IX.
IX × IX means 9×9 which is 81.
So, IX × IX = LXXXI, where LXXXI represents 81.
Answer: 81 → LXXXI
Explanation
Convert the Roman numerals into numbers and perform multiplication.
Problem 4
Divide LXXXI by IX.
LXXXI / IX means 81/9 which is 9.
So, LXXXI / IX = IX.
Answer: 9 → IX
Explanation
Convert the Roman numerals into numbers and perform division.
Problem 5
Find all the perfect squares between 1 to 100 and convert them in Roman numerals.
Perfect squares between 1 and 100 are : 4, 9,16,25,36,49,64,81, whose Roman numeral form is IV, IX, XVI, XXV, XXXVI, XLIX, LXIV, LXXXI respectively.
Answer: 4, 9,16,25,36,49,64,81 → IV, IX, XVI, XXV, XXXVI, XLIX, LXIV, LXXXI
Explanation
Identify all the perfect squares that fall between 1 and 100 and then converted them to Roman Numerals. You can use the above explained concepts for conversion.
FAQs on IX in Roman Numerals
1.What comes after XIX?
2.What number is XX?
3.What number is L?
4.What is XCIX?
5.What is Z in roman numeral?
Important Glossaries for 9 in Roman Numerals
- Roman numerals: Numeral system used in Rome, where the numbers represent Latin Alphabets like I, X, C, M etc.
Basic Roman Numerals -
I : 1
II : 2
III : 3
IV : 4
V : 5
VI : 6
VII : 7
VIII : 8
IX : 9
X : 10
L : 50
C : 100
D : 500
M : 1000
- XCIX: Represents 99 in roman numeral
- Expansion Method: This method involves breaking down numbers into parts based on place
values like thousands, hundreds, tens, or ones.
- Grouping Method: This method involves breaking down of larger Roman numerals into smaller
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