Associative Property - Examples, Exercises and Solutions

According to the order of operations, we first solve the division exercise, and then the subtraction:

$(6:2)+9-4=$

$6:2=3$

Now we place the subtraction exercise in parentheses:

$3+(9-4)=$

$3+5=8$

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

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

$3+2=5$

$5-11=-6$

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

$4+5=9$

$9+1=10$

$10-3=7$

According to the order of operations, we solve the exercise from left to right since the only operation in the exercise is division:

$24:8=3$

$3:3=1$

According to the rules of the order of operations, we first solve the division exercise:

$6:2=3$

Now we get the exercise:

$-5+2-3=$

We solve the exercise from left to right:

$-5+2=-3$

$-3-3=-6$

According to the rules of the order of operations, we first solve the division exercise:

$9:3=3$

Now we obtain the exercise:

$3-3=0$

According to the rules of the order of operations, we first solve the multiplication exercise:

$4\times2=8$

Now we obtain the exercise:

$8-5+4=$

We solve the exercise from left to right:

$8-5=3$

$3+4=7$

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

$12\times5=60$

$60\times6=360$

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

$94+6+12=$

Now, we solve the exercise from left to right:

$94+6=100$

$100+12=112$

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

$8+12=20$

Now we obtain the exercise:

$7+20=27$

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:

$5\times2=10$

$7\times10=70$

First, solve the left exercise since adding the numbers together will give us a round number:

$8+2=10$

Now we have an easier exercise to solve:

$10+7=17$

First, solve the right-hand exercise since adding the numbers together will give us a round number:

$5+5=10$

Now we have an easier exercise to solve:

$13+10=23$

First, solve the right-hand side of the exercise since adding these numbers together will give you a round number:

$2+8=10$

This leaves you with an easier exercise to solve:

$38+10=48$