Final answer:
Descartes is incorrect in stating that a number rounded to the nearest ten can be greater than the same number rounded to the nearest hundred due to the difference in how rounding occurs.
Explanation:
Descartes posits that a number rounded to the nearest ten can be greater than the same number rounded to the nearest hundred. However, this is not correct. When rounding to the nearest ten, all numbers in the ones and tens place stay the same, while the digits to the right are dropped. On the other hand, when rounding to the nearest hundred, all numbers in the tens, ones, and hundreds place stay the same, while the digits to the right are dropped.
For example, consider the number 155. When rounded to the nearest ten, it remains 160. When rounded to the nearest hundred, it remains 200. Therefore, the number rounded to the nearest hundred is greater than the number rounded to the nearest ten.
Learn more about Rounding numbers here:
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