Question

Column A: Eleven thousand plus eleven hundred plus eleven
Column B: 11,111

• A. The quantity in Column A is greater.
• B. The quantity in Column B is greater.
• C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.

Hint:

Be careful with phrases like "eleven hundred". It means \(11 \times 100 = 1,100\), not 10,100. Always break down the words into their numerical components before adding.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
This is a basic arithmetic problem that tests the understanding of place value and converting words to numbers.
Step 2: Detailed Explanation:
Let's convert the words in Column A into numerical values and then sum them up.
\begin{itemize} \item Eleven thousand = 11,000 \item Eleven hundred = 1,100 \item Eleven = 11 \end{itemize} Now, add these values together:
\[ 11,000 + 1,100 + 11 \]
We can perform the addition column by column:
\[ \begin{array}{@{}c@{\,}c@{}c@{}c@{}c} & 1 & 1 & 0 & 0 & 0
& & 1 & 1 & 0 & 0
+ & & & & 1 & 1
\hline & 1 & 2 & 1 & 1 & 1
\end{array} \]
The sum is 12,111.
So, the quantity in Column A is 12,111.
The quantity in Column B is 11,111.
Step 3: Final Answer:
Comparing the two quantities, we have \(12,111>11,111\). Therefore, the quantity in Column A is greater.