Question

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

Answer 1

Solution :

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

So, we multiply 9 by multiples of $10$ to $\text{estimate the quotient.}$

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.