Understanding Division

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Other Math Activities:

Place Value Index

Modeling Division

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

There are four counters in each set.

Division Sentence :

Example:

Arrange 12 counters in 4 equal sets:

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

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

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.

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

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