While we can always use a calculator to do multiplication with multiple digits or with decimal numbers, it’s important to know how to do it, and practicing strengthens our brain and prepares us for the coming lessons. Multiplication with decimal numbers only adds one step to the multiplication we do with large whole numbers. The following video will show the steps of this process.

Video Source (05:37 mins) | Transcript

The following video explains why we can do multiplication with multiple digits as explained in the previous video.

Video Source (04:43 mins) | Transcript

Multiplication with decimals is the same as the process when there are no decimals. The only difference is that at the end we count how many decimal places are represented in the two original numbers that we are multiplying and move the decimal of the answer to the **left** that many times.

Example: \(5.8 \times 12.62\), \(5.8\) has 1 digit after the decimal, \(12.62\) has 2 digits after the decimal, so our answer will have \(1 + 2 = 3\) digits after the decimal.

**NOTE**: Having your multiplication facts memorized will help you do these problems faster and more accurately. These exercises also help reinforce the multiplication facts which will help you when we get into fractions and algebra.

## Additional Resources

- Khan Academy: Introduction to Multiplying Decimals (03:49 mins, Transcript)
- Khan Academy: Multiplying Decimals (06:28 mins, Transcript)
- Khan Academy: Multiplying Decimals Examples (02:52 mins, Transcript)

### Practice Problems

**Evaluate the following expression:**

- \(6.9 × 5 = ?\) (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

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