Numbers

3-86 Multiplying Two-Digit Numbers

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Learn to multiply a one-digit number and a two-digit number.  For example, 4 X 12 can be written as (4 X 10) + (4 X 2).  Look at the example below.

 

       
       
       
       
       
       
       
       
       
       

4 X 10

 

 

 

 

       
       

4 X 2

 

The table above shows 4 groups of 10 and 4 groups of 2.

You can solve the problem 4 X 12 by writing the problem as;

4 X 12 = (4 X 10) + (4 X 2) = 40 + 8 = 48

 

You can also write the problem vertically.  Look below.

 

1 2
4
Multiply60.gif (922 bytes)

 

When you multiply vertically you start with the ones column and move to the tens column.

Multiply 4 times 2 first.  4 X 2 = 8

1 2
4
Multiply60.gif (922 bytes)
8

 

Multiply 4 times the 1 ten.  4 X 10 = 40

 

1 2
4
Multiply60.gif (922 bytes)
4 8

 

Look at the problem 6 X 14.

6 X 14 = (6 X 10) + (6 X 4) = 60 + 24 = 84

Or vertically

 

1 4
6
Multiply60.gif (922 bytes)

 

Multiply the ones column first.  6 X 4 = 24

 

1 4
6
Multiply60.gif (922 bytes)
2 4

 

Next multiply the tens column.  6 X 10 = 60

Then add 24 + 60 = 84

 

1 4
6
Multiply60.gif (922 bytes)
2 4
6 0
+60.gif (911 bytes)
8 4

 

Complete the problems below.

 

 
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Multiply60.gif (922 bytes)
+60.gif (911 bytes)

 

 

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