Calculate the Product: 5.11 × 110 Decimal Multiplication

Video Solution

Solution Steps

00:00 Solve

00:03 Multiply each digit by each digit, and place in the appropriate position

00:08 Any number multiplied by 0 is always equal to 0

00:19 Move to the next digit, calculate and place in the appropriate position

00:23 Any number multiplied by 1 is always equal to itself

00:26 Move to the next digit, calculate and place in the appropriate position

00:35 Add up the results

00:42 Sum up all digits after the decimal point

00:47 Based on this sum, we'll place the decimal point

00:52 And this is the solution to the question

Step-by-Step Solution

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:

$511 \times 110$

$511 \times 110 = 56210$

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 $562.1$ .