Calculate the Product: 5.11 × 110 Decimal Multiplication

To solve this problem, we'll multiply the decimal number 5.11 by the integer 110. To do this, we'll follow these main steps:

• Step 1: Treat the decimal number 5.11 temporarily as 511 by ignoring the decimal point. This helps us simplify the multiplication process.
• Step 2: Multiply 511 by 110, as if they were whole numbers:

$511 \times 110$

• Step 3: Calculate the product:

$511 \times 110 = 56210$

• Step 4: Since the original problem involved a decimal (two decimal places in number 5.11), adjust the product to account for these two decimal places by dividing by 100:

$56210 \div 100 = 562.1$

Therefore, the solution to the problem is $562.1$.