Arrange Digits 2,0,7,4 to Create Decimal Closest to 1/2

Using the digits below (only once per digit)

$2,0,7,4$

Form the decimal which is closest in value to one half :

To solve this problem, we'll examine the combinations and their proximity to 0.5:

• Step 1: Identify the available digits: 2, 0,7, and 4.
• Step 2: Form potential decimals: 0.742, 0.274, 0.427, 0.472.
• Step 3: Calculate the distance between each number and 0.5.

Now, let's work through each step:

Step 1: Available Digits
We need to use each digit 2, 0, 7, and 4 exactly once to form a decimal number.

Step 2: Potential Combinations
- $0.742$
- $0.274$
- $0.427$
- $0.472$

Step 3: Calculate and Compare
We need to compare each decimal to 0.5:
- Difference between $0.742$ and $0.5$ is $0.742 - 0.5 = 0.242$
- Difference between $0.274$ and $0.5$ is $0.5 - 0.274 = 0.226$
- Difference between $0.427$ and $0.5$ is $0.5 - 0.427 = 0.073$
- Difference between $0.472$ and $0.5$ is $0.5 - 0.472 = 0.028$

On comparing these differences, $0.472$ has the smallest difference from $0.5$. Therefore, 0.472 is the decimal number closest to one half.

Therefore, the solution to the problem is 0.472.