Final answer:
The correct decimal number composed of the digits with their specified values is 3,762.86, where each digit is placed in a position reflecting its value.
Step-by-step explanation:
To create a decimal number using the given digits with specific values, we need to place each digit in its correct position according to the value it represents. The digit 3 must have a value of 3×1,000, which means it should be placed in the thousands position.
The digit 8 with a value of 8×10 and the digit 7 with a value of 7×10 should both be in the tens place, but since we cannot have two digits in the same place, we instead add their values together (8+7=15) and place the combined value in the tens and ones positions. The digit 6 with a value of 6×0.01 goes two places after the decimal point, and the digit 2 with a value of 2×1 should be in the ones place. Therefore, the correct decimal number is 3,762.86.