Arrange Digits 2,0,7,5: Finding the Smallest Possible Decimal

Question

Form the smallest possible decimal using the digits below:

2,0,7,5 2,0,7,5

Step-by-Step Solution

To solve this problem, we follow these steps:

  • Step 1: Identify the smallest non-zero digit to place in the tenths position. Here, that digit is 2.
  • Step 2: Place 0 in the integer position to ensure the number is less than one.
  • Step 3: Arrange the remaining digits, 7 and 5, in ascending order after the tenths position.

Implementation of these steps:
- The smallest digit 2 goes in the tenths place.
- 0 is used as the integer part to remain less than 1, resulting in 0.2 0.2 .

Continue arranging the remaining digits:
The digits 5 and 7 go next, resulting in 0.257.

This gives us the smallest possible decimal using the digits: 0.257.

Answer

0.257