Write 81.509 in expanded form

 81.509=

 80  

+1  

+  0.5

+  0.00

+  0.009

Expanded Factors Form:

   81.509=

 8 ×10  

+1 ×1  

+5 ×  0.1

+0 ×  0.01

+9 ×  0.001

Expanded Exponential Form:

 81.509 =

8 × 101

+1 × 100

+5 × 10-1

+0 × 10-2

+9 × 10-3

for this case we have the following expression:

to solve, we rewrite the expression as:

we apply double c and we have:

thus, the quotient is 48.

so, patel found a wrong ratio and the multiplication was incorrect.

option d