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Let’s go step by step to understand how Roman numerals work from 1 to 100, using the chart you have.

Roman numerals use letters to represent numbers:
- I = 1
- V = 5
- X = 10
- L = 50
- C = 100

You build other numbers by combining these letters. Here are the basic rules:

1. If a smaller letter comes AFTER a bigger one, you ADD them.
- Example: VI = 5 + 1 = 6
- Example: XI = 10 + 1 = 11

2. If a smaller letter comes BEFORE a bigger one, you SUBTRACT it.
- Example: IV = 5 – 1 = 4
- Example: IX = 10 – 1 = 9

3. You can only subtract certain combinations:
- I can be placed before V (4) and X (9)
- X can be placed before L (40) and C (90)
- No more than three of the same letter in a row (so 4 is IV, not IIII)

Now let’s look at some examples from your chart to see how this works:

→ For numbers 1–10:
- 1 = I
- 2 = II (1+1)
- 3 = III (1+1+1)
- 4 = IV (5–1)
- 5 = V
- 6 = VI (5+1)
- 7 = VII (5+1+1)
- 8 = VIII (5+1+1+1)
- 9 = IX (10–1)
- 10 = X

→ For numbers 11–20:
- 11 = XI (10+1)
- 12 = XII (10+1+1)
- ...
- 14 = XIV (10 + 5 – 1 = 14)
- 15 = XV (10+5)
- ...
- 19 = XIX (10 + 10 – 1 = 19)
- 20 = XX (10+10)

→ For numbers like 40, 50, 90:
- 40 = XL (50 – 10)
- 50 = L
- 90 = XC (100 – 10)

→ For numbers like 49, 99:
- 49 = XLIX → XL (40) + IX (9) = 49
- 99 = XCIX → XC (90) + IX (9) = 99

→ And 100 = C

So if someone asks you “What is 87 in Roman numerals?” — you break it down:
- 80 = LXXX (50 + 10 + 10 + 10)
- 7 = VII (5 + 1 + 1)
- So 87 = LXXXVII

Or if they ask “What is XCIV?”
- XC = 90 (100 – 10)
- IV = 4 (5 – 1)
- So XCIV = 94

This system repeats every ten numbers with patterns based on tens and ones.

Final Answer:
The Roman numeral for any number between 1 and 100 can be found by breaking the number into tens and ones, then writing each part using the correct combination of I, V, X, L, and C — adding when smaller letters come after larger ones, subtracting when they come before.