Roman Numerals — Concept Maps
ICSE · Class 5 · Mathematics
4 concept maps of Roman Numerals for ICSE Class 5 Mathematics, each also written out as a text outline. Part of the ICSE Class 5 Mathematics syllabus.
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Roman Numerals - Complete System Overview
The map in words
- Roman Numerals
- Basic Letters
- I = 1
- V = 5
- X = 10
- L = 50
- C = 100
- D = 500
- M = 1000
- Five Rules
- Rule 1 Repetition
- I, X, C, M max 3 times
- V, L, D never repeated
- Rule 2 Addition
- Small right of large
- VI = 5 + 1 = 6
- Rule 3 Subtraction
- Small left of large
- IV = 5 - 1 = 4
- Rule 4 Between Numerals
- Small between two large
- CXL = 100 + 40 = 140
- Rule 5 Vinculum
- Bar over numeral
- Multiply by 1000
- Rule 1 Repetition
- Conversions
- Number to Roman
- Expand number
- Convert each part
- Combine parts
- Roman to Number
- Identify patterns
- Calculate values
- Add all parts
- Number to Roman
- Real World Uses
- Book chapters
- Historical dates
- Clock faces
- Outlines
- Basic Letters
Roman Numerals – Complete Chapter Overview
The map in words
- Roman Numerals
- Basic Symbols
- I equals 1
- V equals 5
- X equals 10
- L equals 50
- C equals 100
- D equals 500
- M equals 1000
- Key Facts
- No Zero in Roman system
- Indo-Arabic uses 0 to 9
- Vinculum bar means times 1000
- Rules
- Repetition Rule
- I X C M repeat up to 3 times
- V L D never repeat
- Repetition means Addition
- Addition Rule
- Smaller on RIGHT means Add
- Example VI equals 6
- Subtraction Rule
- Smaller on LEFT means Subtract
- Only 6 valid pairs
- IV IX XL XC CD CM
- Between Two Larger
- Subtract from right numeral
- Example CXL equals 140
- Repetition Rule
- Subtraction Restrictions
- V L D never subtracted
- I subtracts from V and X only
- X subtracts from L and C only
- C subtracts from D and M only
- Same letter subtracted once only
- Conversion Methods
- To Roman Numeral
- Step 1 Expanded Form
- Step 2 Roman Parts
- Step 3 Combine Parts
- To Indo-Arabic
- Step 1 Separate combinations
- Step 2 Find each value
- Step 3 Add all values
- To Roman Numeral
- Basic Symbols
Roman Numeral Conversion Decision Tree
The map in words
- Start: Convert Number
- How many digits?
- Single Digit: Value less than 5?
- Yes: Use I, add if needed
- Write answer
- Final Roman Numeral
- Write answer
- No: Use V and add I if needed
- Yes: Use I, add if needed
- Double Digit: Contains 40, 50, 60, 90?
- Yes: Use subtraction: XL, XC
- Combine with tens
- Check answer
- Combine with tens
- No: Use addition: XX, XXX, LXX
- Yes: Use subtraction: XL, XC
- Triple Digit: Contains 400, 500, 900?
- Yes: Use subtraction: CD, CM
- Combine all parts
- No: Use addition: CC, CCC, DCC
- Yes: Use subtraction: CD, CM
- Single Digit: Value less than 5?
- How many digits?
Roman Numerals
The map in words
- Roman Numerals
- Basic Symbols
- Rules for Writing
- Conversion Methods
- Examples and Applications
- Common Mistakes
- Vinculum (Bar over numeral)
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Sources & Official References
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