Multiply 4.16 × 100: Decimal Place Value Shift

To solve the problem of multiplying $4.16$ by $100$, we follow specific steps:

• Step 1: Identify the Original Position of the Decimal
  The number $4.16$ has a decimal point between the 4 and the 1, giving it two decimal places.
• Step 2: Apply the Multiplication Operation
  Multiplying by $100$ involves moving the decimal point two places to the right because $100$ has two zeros.
• Step 3: Shift the Decimal Point
  By shifting the decimal point two places to the right, $4.16$ becomes $416.$
• Step 4: Verify Against Answer Choices
  $416$ matches choice number 2 in the given multiple-choice list.

Therefore, the solution to the problem is $416$.