Three-Digit Problems
Lesson

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

 

Sometimes in order to solve word problems, it is necessary to multiply by large numbers.  

 

Three-digit multiplication involves several steps (and lots of space)!

  324

x256

 

 

Step one: Multiply by ones digit to get the first partial product.
Step two: Multiply by tens digit to get the second partial product.
Step three: Multiply by hundreds digit to get the third partial product.
Step four: Add all partial products together to get the final product!

Text Box:    324
x 256
  1944(first partial product 
16200(second partial product)
64800(third partial product)
82944

 

 

 

 

 

 

 

 

Remember when you multiply by the tens' digit (5 in this case) you are really multiplying by 50.  When you multiply by the hundreds' digit (2 in this case), you are really multiplying by 200.  YOU NEED TO ANNEX ZEROS IN YOUR PARTIAL PRODUCTS IF YOU CANNOT REMEMBER TO LEAVE SPACES FOR THEM!!!

Let's look at some sample problems that would need  three-digit multiplication!

 

There were 346 tickets sold for a concert.  If each ticket cost $9.95, what was the total money spent?

 

  346
x 9.95

 

An airplane travels 545 miles per hour.   If the plane flies for 22.5 hours, how far does it travel?

               545
            x 22.5

 A Pizza Shop uses 127 cups of pizza sauce per day.  How many cups will they use in a year?

                127
              x 365

Let's Practice

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

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Updated by Carol A. Carroll
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