Final answer:
After comparing the place values of the numbers, option C is identified as false because 511,601 is actually greater than 501,678, not less.
Step-by-step explanation:
The student's question involves comparing numbers to determine which statement is false. To compare these numbers, one must look at the digits starting from the highest place value (hundreds of thousands) and moving to the lowest (ones) until a difference is found.
- A) 501,304 < 502,305 is true because 501,000 is less than 502,000.
- B) 505,364 > 504,342 is true because 505,000 is greater than 504,000.
- C) 511,601 < 501,678 is false because 511,000 is greater than 501,000, not less. This is the false statement.
- D) 515,708 > 514,708 is true because both numbers are equal up to the thousands place, but 515,000 is greater than 514,000.
So, option C is the false statement among the options given.