To multiply by a decimal number, remove the decimal point(s)

and multiply as if the numbers were whole numbers.

Then, move the decimal point in the product one space

to the left for each decimal place in the original problem.

**Step 1:** Write the second number under the first number so that the last digits are lined up.

**Step 2:** Rewrite the problem without any decimal points.

**Step 3:** Multiply the ones digit in the bottom number by each digit in the top number. Remember to regroup when a product is greater than 9.

**Step 4:** Add a placeholder zero to the ones column. Multiply the tens digit in the bottom number by each digit in the top number. Remember to regroup when a product is greater than 9.

**Step 5:** Add to find the product.

**Step 6:** Move the decimal point one space to the left for each decimal place in the original problem. There are

three decimal places in the original problem, so move the decimal point three spaces to the left.