Column A: \((250)(492)\)
Column B: \(\frac{492,000}{4}\)
Column B: \(\frac{492,000}{4}\)
Show Hint
- Quantity A is greater
- Quantity B is greater
- The two quantities are equal
- The relationship cannot be determined from the information given
The Correct Option is C
Solution and Explanation
This problem tests arithmetic manipulation. The goal is to see if the two expressions are equivalent without necessarily calculating the final product.
Step 2: Detailed Explanation:
Let's analyze and simplify the expression in Column B.
Column B: \(\frac{492,000}{4}\)
We can rewrite 492,000 as \(492 \times 1000\).
So the expression becomes:
\[ \frac{492 \times 1000}{4} \] We can perform the division \(\frac{1000}{4}\) first.
\[ \frac{1000}{4} = 250 \] Substituting this back into the expression for Column B:
\[ 492 \times 250 \] This can also be written as \((250)(492)\).
Step 3: Comparing the Quantities:
Column A: \((250)(492)\)
Column B: \((250)(492)\)
The expressions for both columns are identical.
Step 4: Final Answer:
The two quantities are equal.
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