Decimal Operations
Lesson

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MULTIPLICATION

In this lesson you will learn how to:

  •  multiply a decimal number by a whole number

  •  multiply a decimal number by a decimal number (to the  hundredths)

In order to learn the rules for multiplying decimals, we need to review three key definitions:

decimal places:

 

the numbers to the right of the decimal point. e.g. tenths, hundredths, thousandths, etc.

 

 

partial products:

 

the products formed when multiplying by the different place values in a long multiplication problem ( more than 1 place)

 

 

 

 

 

factors

 

the two numbers that when multiplied together give a product:
factor x factor = product

 

Text Box: factor x factor = product
In (81 x 9 = 729), 81 and 9 are factors, 729 is the product

 

Now the rule for multiplying decimals:  The product of two decimal numbers has the same number of decimal places as the number of decimal places in both factors. The partial products have no decimal points in them.

When multiplying 4 x 0.89, the product would have 2 decimal places.  

0.89 2 decimal places
     x 4
+ 0 decimal places
  3.56 2 decimal places

When multiplying  1.76 x 3.02, the product would have 4 decimal places.  

       1.76 2 decimal places
    x 3.02
+2 decimal places
        352
    5280
   5.3152
4 decimal places

When multiplying  0.893 x 0.7, the product would have 4 decimal places.

 

   0.893 3 decimal places
    x 0.7
+1 decimal places
 0.6251 4 decimal places

Enough examples?  Ready to try some problems on your own?  

Decimal Multiplication Practice!

 

 Topic Index | Grade 5 Math | Intermediate Test Prep | StudyZone

Created by Mary Jane Cowell
Updated by:
  Julie Burger and Carrie Plasse
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