Let's solve the problem step by step.
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Task:
Match each Roman numeral on the left to its correct Arabic number on the right.
We are given a list of Roman numerals and a list of numbers. We need to match them correctly.
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Step 1: Understand Roman Numeral Rules
Basic Roman numerals:
- I = 1
- V = 5
- X = 10
- L = 50
Rules:
- When a smaller numeral appears before a larger one, subtract it (e.g., IV = 4, IX = 9).
- Otherwise, add the values (e.g., VI = 6, XV = 15).
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Step 2: Convert Each Roman Numeral
Let’s go through each Roman numeral on the left and convert it:
1.
X = 10 → matches with
10
2.
VIII = 5 + 1 + 1 + 1 = 8 → matches with
8
3.
XXI = 10 + 10 + 1 = 21 → matches with
21
4.
L = 50 → matches with
50
5.
XV = 10 + 5 = 15 → matches with
15
6.
XXX = 10 + 10 + 10 = 30 → matches with
30
7.
XIV = 10 + (5 - 1) = 10 + 4 = 14 → matches with
14
8.
XXV = 10 + 10 + 5 = 25 → matches with
25
9.
XXXIII = 10 + 10 + 10 + 1 + 1 + 1 = 33 → matches with
33
10.
XLI = 50 - 10 + 1 = 40 + 1 = 41 → matches with
41
11.
XXIX = 10 + 10 + (10 - 1) = 20 + 9 = 29 → matches with
29
12.
XLV = (50 - 10) + 5 = 40 + 5 = 45 → matches with
45
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Step 3: Match Each to the Correct Number
Now let’s pair them up:
| Roman Numeral | Value | Match |
|---------------|-------|--------|
| X | 10 | 10
✔ |
| VIII | 8 | 8
✔ |
| XXI | 21 | 21
✔ |
| L | 50 | 50
✔ |
| XV | 15 | 15
✔ |
| XXX | 30 | 30
✔ |
| XIV | 14 | 14
✔ |
| XXV | 25 | 25
✔ |
| XXXIII | 33 | 33
✔ |
| XLI | 41 | 41
✔ |
| XXIX | 29 | 29
✔ |
| XLV | 45 | 45
✔ |
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Final Answer: Matching Pairs
Here is how each Roman numeral matches to the number on the right:
-
X →
10
-
VIII →
8
-
XXI →
21
-
L →
50
-
XV →
15
-
XXX →
30
-
XIV →
14
-
XXV →
25
-
XXXIII →
33
-
XLI →
41
-
XXIX →
29
-
XLV →
45
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Check the Given Line:
In the image, there is already a line drawn from
X to
10, which is
correct.
All other matches follow logically.
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✔ Solution Complete!
You can now draw lines from each Roman numeral on the left to its corresponding number on the right as shown in the table above.
Parent Tip: Review the logic above to help your child master the concept of free roman numeral worksheet.