To solve [tex]\( 9,965 \div 19.9 \)[/tex], we need to find the quotient of these two numbers and identify the closest answer among the given options.
First, let's understand the division process:
1. Perform the Division:
[tex]\[
\frac{9965}{19.9} \approx 500.75376884422116
\][/tex]
2. Identify the Closest Choice:
- The result from the division is approximately 500.75.
- Now, compare this result with the available options:
- (A) 5
- (B) 50
- (C) 500
- (D) 5,000
3. Determine the Closest Answer:
- Comparing [tex]\( 500.75 \)[/tex] to the given choices:
- 5 is far smaller than 500.75.
- 50 is also significantly smaller than 500.75.
- 500 is very close to 500.75.
- 5,000 is much larger than 500.75.
Given that 500.75 is closest to 500, the best match from the options provided is:
(C) 500