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Understanding Division

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Modeling Division

Distribute 16 counters into 4 equal sets. Keep the leftover counters aside.

Modeling Division

There are four counters in each set.

Division Sentence :

Modeling Division

Example:

Arrange 12 counters in 4 equal sets:

Modeling Division

Relationship Between Multiplication and Division

In multiplication we find the product of two factors.
           5     x     4     =     20
      factor         factor       product

In multiplication the numbers you multiply are called factors; the answer is called the product.

In division we find the missing factor when the product and the other factor are known.

    20     ÷     5     =     4
dividend     divisor     quotient

In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

Using arrays we can understand how multiplication and division are related

Relationship between multiplication and division
Relationship between multiplication and division
Relationship between multiplication and division

Relationship between multiplication and division
Multiply to find number of pictures in all

           3                      x                 4                 =             12
    Number of rows               Number of columns          Number in all

Divide the number of pictures in each row

          12         ÷            4                     =                3
Number in all         Number of columns         Number of rows

Remember:

 3   x   4  = 12                            4   x   3  =  12  

12   ÷   4  =  3                            12   ÷   3  =  4

Example:     18   ÷  6  =  ?

     Think:   6   x   ?  =  18        Six times what number is 18?
                 6   x   3  =  18  

                 so 18 ÷ 6 = 3

Regrouping in Division

We use base ten blocks to show this:

81 ÷ 3

Step1 : Use base ten blocks to show 81

Regrouping and Division
            Regrouping and Division
Step 2 : Distribute 8 tens into 3 equal sets. There are 3 groups of 2 tens in each. There are 2 tens and one left over.

Regrouping and Division
                    Regrouping and Division
Step 3 : Regroup the 2 tens as 20 ones.
              20 ones + 1 ones = 21 ones.

Regrouping and Division
                    Regrouping and Division
Step 4 : Distribute the 21 ones. Arrange 7 ones in each group.
Regrouping and Division
                Regrouping and Division

 
 
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