Have you learned how to **multiply with decimals** yet? Today we are going to review three different cases of multiplication with decimals.

##### Multiplication with decimals and whole numbers

In this case, we are multiplying a decimal by another number without decimals, as in the example:

- Step 1:
**We place both numbers**so that the longer factor is on the top and the shorter factor is on the bottom.

- Step 2:
**We solve**the multiplication problem as we**normally**would with whole numbers. Afterward, we**count the digits**that come after the decimal point in the decimal and**we place the decimal point in the answer**so that it has the same number of decimal places after it as in the decimal in the factor position.

##### Multiplication when both factors are decimals

In this case, both factors are decimals:

- Step 1: As in the previous case, the first thing we have to do is to
**place the numbers**so that the longer factor is on the top and the shorter factor is on the bottom.

- Step 2:
**We solve**the multiplication problem as we**normally**would with whole numbers. Afterward, we count the digits that come after the decimal points in**both factors.**The answer should**have as many decimal places as can be found in both factors combined.**

##### Multiplication with decimals and a whole number ending in zero

In this case, the whole number factor ends in zero.

- Step 1:
**We break down**the number into another number multiplied by 10:

- Step 2:
**We multiply**the decimal**by 10**(thereby getting rid of a decimal place).

- Step 3:
**We place**the numbers and now we can**multiply a decimal number by a whole number.**

Multiplication with decimals is easy, isn’t it?

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### Learn More:

- Multiplication with Decimal Numbers
- Learn and Practice How to Divide Decimals
- Working with Decimals: Addition and Subtraction
- How to Multiply by 2 and 3 Digit Numbers
- Multiplying and Dividing Decimal Numbers by Powers of 10

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## Nkosiey BJan 25 2019, 7:20 AM

this is great stuff. very helpful

## Johnson HopeJul 06 2019, 4:49 PM

This was really helpful. Thanks a lot