The Correct Answer and Explanation is:
Of course. Here are the correct answers and a detailed explanation for each question on the worksheet.
The correct answers are:
- 5a: III, VIII, IX, XV, XVI
- 5b: IV, XIII, XXIX, LIV, LXIX (The list is already in ascending order).
- 6a: XIX, XVI, XII, IX, IV
- 6b: XLIX, XL, XV, XIII, VIII
- 7: c. VII
- 8: d. XXVI
Detailed Explanation
To understand these answers, it is essential to know the basic values of Roman numerals and the rules for combining them. The primary symbols are I (1), V (5), X (10), and L (50).
5. Arrange in ascending order (smallest to largest):
- a. VIII, III, XV, IX, XVI
First, convert each Roman numeral to its standard number:
VIII = 8 (5+3)
III = 3 (1+1+1)
XV = 15 (10+5)
IX = 9 (10-1, the subtractive principle)
XVI = 16 (10+5+1)
Arranging these numbers from smallest to largest gives: 3, 8, 9, 15, 16. The correct Roman numeral sequence is III, VIII, IX, XV, XVI. - b. IV, XIII, XXIX, LIV, LXIX
Let’s convert these:
IV = 4 (5-1)
XIII = 13 (10+3)
XXIX = 29 (10+10+(10-1))
LIV = 54 (50+(5-1))
LXIX = 69 (50+10+(10-1))
The numerical sequence is 4, 13, 29, 54, 69. This list is already in ascending order, so the original order is the correct answer.
6. Arrange in descending order (largest to smallest):
- a. IX, XII, IV, XVI, XIX
The numerical values are:
IX = 9
XII = 12
IV = 4
XVI = 16
XIX = 19 (10+(10-1))
Ordering these from largest to smallest gives: 19, 16, 12, 9, 4. The correct Roman numeral sequence is XIX, XVI, XII, IX, IV. - b. VIII, XV, XIII, XLIX, XL
The numerical values are:
VIII = 8
XV = 15
XIII = 13
XLIX = 49 ( (50-10) + (10-1) )
XL = 40 (50-10)
Ordering these from largest to smallest gives: 49, 40, 15, 13, 8. The correct sequence is XLIX, XL, XV, XIII, VIII.
7. There are… number of days in a week.
There are seven days in a week. We need to find the Roman numeral for 7.
VII = 5 + 1 + 1 = 7.
Therefore, the correct answer is c. VII.
8. There are… total letters in English alphabets.
There are twenty six letters in the English alphabet. We need the Roman numeral for 26.
XXVI = 10 + 10 + 5 + 1 = 26.
Therefore, the correct answer is d. XXVI
