Answered

For each of the following numerals, write both the succeeding and the preceding numerals (one more and one less).


AMDXLIX

The Roman numeral succeeding MDXLIX is □ and the Roman numeral preceding MDXLIX is □.


BWhich of the following is the succeeding numeral for the numeral shown below?



Choose the correct answer below.

A$\ll V$ WHY
B$\ll \quad<$ LITHT
C$\langle\langle T\rangle$ < TWT
D<\ll TVT



Which of the following is the preceding numeral for the numeral shown below?

< WTY



Choose the correct answer below.

A$\ll$ < TWTW
B<< WTW


C899



d.

Verified Answer :

  • Roman numeral MDXLIX: Successor is 1550 (MDL), predecessor is 1548 (MDXLVIII).
  • Number 899: Successor is 900, predecessor is 898.
  • For Babylonian-style numerals:
  • If the numeral is \(<\) (10), the successor is 11 (\(< V\)) and the predecessor is 9.
  • If the numeral is \(\ll\) (20), the successor is 21 (\(\ll V\)) and the predecessor is 19.
  • \(\text{MDXLIX: successor MDL, predecessor MDXLVIII; 899: successor 900, predecessor 898.}\)

Explanation

  1. Analysis and Calculation of Successors and Predecessors

For each given numeral, we need to determine its successor (one more) and its predecessor (one less).

AFor the Roman numeral MDXLIX:
  • First, convert the Roman numeral to a decimal value: \(M = 1000\), \(D = 500\), \(XL = 40\), and \(IX = 9\). Thus, \(MDXLIX = 1000 + 500 + 40 + 9 = 1549\).
  • The successor is \(1549 + 1 = 1550\). Converting \(1550\) back to Roman numerals: \(1000(M) + 500(D) + 50(L) = MDL\).
  • The predecessor is \(1549 - 1 = 1548\). Converting \(1548\) back to Roman numerals: \(1000(M) + 500(D) + 40(XL) + 8(VIII) = MDXLVIII\).
CFor the numeral 899:
  • The successor is \(899 + 1 = 900\).
  • The predecessor is \(899 - 1 = 898\).
BFor the numeral < (representing 10 in this Babylonian-style notation):
  • The successor (11) is represented as \(< Y\). Looking at the options, the standard way to represent 11 in this notation is one ten symbol (<) and one unit symbol (often represented as Y or V). Comparing the choices for the successor of 10, the notation implies selecting A (\(\ll V\) would be 21 or something else, but looking at standard Babylonian, \(