Olympiad Maths Prep

Track / Stage 3 / 60 of 260 #60 of 2000

Problem 60

AMC 10/12, early questions
Number theory Difficulty 3.3 Find the answer

Using the digits 1, 2, 3, 0, and a decimal point, the largest decimal that can be formed is \_\_\_\_\_\_, and the smallest decimal is \_\_\_\_\_\_.
A. 0.123   B. 0.321   C. 320.1    D. 321.0.

Official solution

To form the largest decimal using the digits 1, 2, 3, 0, and a decimal point, the largest number is 321.0, and the smallest decimal is 0.123.
Therefore, the choices are: D,A\boxed{D, A}.
Considering the largest decimal, the integer part should be the largest, which is 321, and the tenth place should be 0.
Considering the smallest three-digit decimal, the integer part should take the smallest digit, which is 0, the tenth place should take 1, the hundredth place should take 2, and the thousandth place should take 3.
This question mainly tests the ability to write decimals according to requirements, starting from the concepts of "largest" and "smallest".

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