The area model represents the quotient of 108 ÷ 9. Which equation shown by the area model can be used to find the quotient?

Solution :

Given that the area model that represents a quotient of 108 ÷ 9.

So, we multiply 9 by multiples of to

10       20      30       40      

90      180     270     360    

Because 108 is between 90 and 180, the quotient lies between 10 and 20.

Using 10 as the first partial quotient in the area model for 108 ÷ 9,

9 x 10 = 90 ,         so 108 - 90 = 18

Now, 9 x 2 = 18,   so 18 - 18 = 0

∴ 10 + 2 = 12

Therefore, the quotient of 108 ÷ 9 is 12.

a - base

b - exponent

so,