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

AMCMXLIX

b.

C$\delta 99$

d.

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

$\delta^0 99$

Choose the correct answer below:

A$\delta^8 99 \cap$
B$\delta^5 999$
C$\delta^0 991$
D$\delta^0 99 \cap 1$

Question

addisonlong04 addisonlong04

31-10-2026
Mathematics

Answered

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

AMCMXLIX

b.

C$\delta 99$

d.

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

$\delta^0 99$

Choose the correct answer below:

A$\delta^8 99 \cap$
B$\delta^5 999$
C$\delta^0 991$
D$\delta^0 99 \cap 1$

Verified Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2026-10-31T13:08:23-04:00

Convert the Roman numeral $\text{MCMXLIX}$ to the decimal value $1949$.
Calculate the preceding number ($1948 = \text{MCMXLVIII}$) and the succeeding number ($1950 = \text{MCML}$).
Evaluate the mathematical expression $\delta^0 99$ as $1 \times 99 = 99$.
Determine the preceding value of $99$ is $\boxed{98}$. The Roman numerals are: preceding $\boxed{\text{MCMXLVIII}}$, succeeding $\boxed{\text{MCML}}$.

Explanation

Analyzing MCMXLIX

We begin by interpreting the Roman numeral $\text{MCMXLIX}$. Breaking it down:

$\text{M} = 1000$
$\text{CM} = 900$
$\text{XL} = 40$
$\text{IX} = 9$

Summing these gives $1000 + 900 + 40 + 9 = 1949$. To find the preceding numeral, we subtract $1$ to get $1948$. Representing $1948$ in Roman numerals: $1000 (\text{M}) + 900 (\text{CM}) + 40 (\text{XL}) + 8 (\text{VIII}) = \text{MCMXLVIII}$. To find the succeeding numeral, we add $1$ to get $1950$. Representing $1950$ in Roman numerals: $1000 (\text{M}) + 900 (\text{CM}) + 50 (\text{L}) = \text{MCML}$.

Analyzing the expression $\delta^0 99$

Next, we address the expression $\delta^0 99$. In mathematical notation, any non-zero number to the power of $0$ is $1$. Therefore, $\delta^0 = 1$, and the expression $\delta^0 99$ simplifies to $1 \times 99 = 99$. The preceding numeral for $99$ is $99 - 1 = 98$.

Conclusion

The preceding numeral for $\text{MCMXLIX}$ is $\text{MCMXLVIII}$, and the succeeding numeral is $\text{MCML}$. For the expression $\delta^0 99$, which evaluates to $99$, the preceding numeral is $98$.

Examples

Roman numerals are still frequently used today in diverse contexts, such as on clock faces, in movie copyright dates, and even in historical building markers. For instance, if a movie displays a copyright date like $\text{MCMXLIX}$, understanding the Roman system allows you to instantly recognize the year as $1949$. Recognizing the surrounding years, like $\text{MCMXLVIII}$ ($1948$) or $\text{MCML}$ ($1950$), is a helpful skill for tracking timelines in historical research or collecting vintage media.