Associative Property: By multiplication only

$12\times5\times6=$

According to the rules of the order of operations, we solve the exercise from left to right:

$12\times5=60$

$60\times6=360$

360

$3\times5\times4=$

According to the order of operations, we must solve the exercise from left to right.

But, this can leave us with awkward or complicated numbers to calculate.

Since the entire exercise is a multiplication, you can use the associative property to reorganize the exercise:

3*5*4=

We will start by calculating the second exercise, so we will mark it with parentheses:

3*(5*4)=

3*(20)=

Now, we can easily solve the rest of the exercise:

3*20=60

60

$7\times5\times2=$

According to the rules of the order of operations, you can use the substitution property and start the exercise from right to left to comfortably calculate:

$5\times2=10$

$7\times10=70$

70

$35\times6\times2=$

According to the rules of the order of operations, you can use the substitution property and organize the exercise in a more convenient way to calculate:

$35\times2\times6=$

We solve the exercise from left to right:

$35\times2=70$

$70\times2=140$

420

$3\frac{5}{6}\times5\frac{5}{6}\times\frac{1}{3}x=$

First, let's convert all mixed fractions to simple fractions:

$\frac{3\times6+5}{6}\times\frac{5\times6+5}{6}\times\frac{1}{3}x=$

Let's solve the exercises with the eight fractions:

$\frac{18+5}{6}\times\frac{30+5}{6}\times\frac{1}{3}x=$

$\frac{23}{6}\times\frac{35}{6}\times\frac{1}{3}x=$

Since the exercise only involves multiplication, we'll combine all the numerators and denominators:

$\frac{23\times35}{6\times6\times3}x=\frac{805}{108}x$

$\frac{805}{108}x$

$11x\times5\times6=$

$330x$

$2x\times4.65\times6.3=$

$58.59x$

$15.6\times5.2x\times0.3=$

$24.336x$