Introduction
In this lesson, you will learn about multiplication with decimal numbers. Multiplication with decimal numbers only adds one step to the multiplication process you do with large whole numbers.
While you can always use a calculator to do multiplication with multiple digits or with decimal numbers, it’s important to know how to do it. Practicing strengthens your brain and prepares you for the coming lessons.
These videos illustrate the lesson material below. Watching the videos is optional.
- Multiplication with Decimal Numbers (05:37 mins) | Transcript
- Multiplication with Decimals (Why it Works) (04:43 mins) | Transcript
Steps for Multiplication with Decimal Numbers
- When a decimal is present, first ignore the decimal and follow the steps for multiplying numbers as usual.
- Count decimal places in the numbers you are multiplying.
- Set the decimal that many places over in the answer, counting right to left.
Example 1
Solve \(1.4\times3\)
Start by multiplying the numbers as usual and ignore the decimal.
Figure 1
Count the decimal places in each of the number you are multiplying. 1.4 has one decimal place.
Figure 2
The decimal in the answer will go over one place to the left since there is only one decimal place.
Figure 3
Example 2
\(3.89\times2.7\)
First, follow the steps for multiplication and ignore the decimals.
Figure 4
Count the decimal places in both numbers that are being multiplied.
Figure 5
There are three decimal places in this problem, so you will count over three decimal places in the answer: \(3.89\times2.7=10.503\).
Figure 6
Things to Remember
- The decimal step in multiplication: Count the decimal places in the original numbers and set the decimal that many places over in the answer.
Practice Problems
Evaluate the following expressions:- \(6.9 × 5 = ?\) (Solution
- \(3.8 × 90 = ?\) (Solution
- \(4.9 × 1.2 = ?\) (Video Solution
- \(9.3 × 625 = ?\) (Video Solution
- \(5.5 × 8.63 = ?\) (Solution
- \(4.71 × 3.84 = ?\) (Solution
Need More Help?
- Study other Math Lessons in the Resource Center.
- Visit the Online Tutoring Resources in the Resource Center.
- Contact your Instructor.
- If you still need help, Schedule a Tutor.