# Arithmetic with * Operations

• Nov 23rd 2009, 09:56 AM
sri340
Arithmetic with * Operations
If
a * b is defined as “half the average of a and b”, determine the positive
difference between: (3 * 5) * 6 and 3 * (5 * 6). Express answer as a fraction in

simplest form or as an exact decimal.
• Nov 23rd 2009, 10:17 AM
I-Think
If
a * b is defined as “half the average of a and b”, determine the positive
difference between: (3 * 5) * 6 and 3 * (5 * 6). Express answer as a fraction in

simplest form or as an exact decimal.

If
$a*b=\frac{1}{2}(\frac{a+b}{2})$
Then $a*b=\frac{a+b}{4}$

So
$3*5=\frac{3+5}{4}=2$
And $2*6=\frac{2+6}{4}$

The rest should follow.