Calculate the Product: 3.12 × 109 Step-by-Step

Question

$3.12\times109=$

00:00 Solve

00:04 Multiply each digit by each digit, and place in the appropriate position

00:14 Calculate and place, add the tens digit when necessary

00:37 Move to the next digit, calculate and place in the appropriate position

00:40 Any number multiplied by 0 always equals 0

00:50 Move to the next digit, calculate and place in the appropriate position

00:53 Any number multiplied by 1 always equals itself

01:00 Combine the results

01:07 Sum up the digits after the decimal point

01:13 Based on this sum, place the decimal point

01:18 And this is the solution to the question

To solve $3.12 \times 109$ , we proceed as follows:

Step 1: Multiply the numbers as if they were whole numbers. Multiply $312$ by $109$ .
Step 2: Calculate $312 \times 109$ :
- $312 \times 100 = 31200$
- $312 \times 9 = 2808$
- Add the two results: $31200 + 2808 = 34008$ .
Step 3: Adjust for decimal places. Since $3.12$ has two decimal places, divide $34008$ by $100$ to get $340.08$ .

Therefore, the solution to the multiplication is $340.08$ .

$340.08$