30. A board is 12.3 m long. Which of the following is the length of the board in centimeters?
Answer: A
The length of the board in centimeters is 1230 cm.
To convert meters to centimeters, one must multiply the length in meters by 100. Therefore, 12.3 m multiplied by 100 equals 1230 cm.
A) 1230 cm
This option is correct because converting 12.3 meters to centimeters involves multiplying by 100, resulting in 1230 centimeters (12.3 m × 100 = 1230 cm).
B) 0.123 cm
This option is incorrect as it represents a much smaller value than the actual length. Converting 12.3 meters to centimeters does not yield 0.123 cm but rather 1230 cm.
C) 12300 cm
This option is also incorrect. While it might seem plausible due to the digits, it erroneously suggests that 12.3 meters is equivalent to 12300 centimeters, which is incorrect by a factor of 10.
D) 12.3 cm
This option is incorrect as it represents the original length in meters without conversion. The correct conversion from 12.3 meters to centimeters results in 1230 cm, not 12.3 cm.
Conclusion
The correct answer, 1230 cm, is confirmed through proper unit conversion from meters to centimeters. All other options fail as they do not accurately reflect the conversion process, leading to incorrect values that do not represent the board's length in centimeters.