Multiply decimals by whole numbers examples & worksheets PDF

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Method 1

How to multiplying Decimals by multi digit Whole numbers

In this section Multiply decimals by whole numbers examples & worksheets PDF, we’ll solve the case through two different methods. Both of them are very easy to understand and will give you more math skills.

1st Method: Multiply 22.6 x 38

Step 1

First multiply the two numbers without decimal part. That means instead to solve the multiplication expression 22.6 x 38, you solve 226 x 38.

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The answer is 8588

Step 2

Now, count the decimal place you have in all. Since you have only one decimal number, it is quite simple:
You get 22.6 which has 1 decimal place.

Step 3

You got the result 8588 for your last multiplication expression and you need to add 1 decimal place on it:
You get 858.8
22.6 x 38 = 858.8

Method 2

2nd Method: How to multiply 22.6 x 38

Here is another way to multiply decimals by whole numbers; let’s solve the same example with another method.

Step 1

There is one decimal digit in the factor 22.6
Whole number is 38 and it is not a multiple of 10.

Step 2

Now, estimate the product.
Estimation of 22.6 is 20 and that of 38 is 40 because the estimated number must be multiple of 10.

Step 3

Now, multiply to find the product. 40 x 20 = 800

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Step 4

Now, multiply to find the product.

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Step 5

Compensate by placing the decimal point in the product.

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