Associative Property - Examples, Exercises and Solutions

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

$12\times5=60$

$60\times6=360$

We will use the commutative property and first solve the addition exercise on the right:

$2+8=10$

Now we get:

$13+10=23$

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, we'll solve the left-hand side of the exercise since adding these numbers together gives us a round number:

$13+7=20$

This leaves us with a much easier exercise to solve:

$20+100=120$

We solve the exercise from left to right, we place the addition exercise in parentheses and then subtract:

$(2+4)-3=$

$6-3=3$

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

$24:8=3$

$3:3=1$

We solve the exercise according to the order of operations.

We place the addition and subtraction exercises in parentheses in the following way to make it easier to solve:

$(2+6)-10+(30-2)=$

We solve the exercises in parentheses:

$8-10+28=$

We place the subtraction exercise in parentheses:

$(8-10)+28=$

$-2+28=26$

First, we place the subtraction exercise in parentheses, and then we add:

$(-3-2)+10=$

$-5+10=$

We use the substitution property to make solving the exercise easier:

$10-5=5$

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

$3+2=5$

$5-11=-6$

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:

$38+10=48$

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:

$4+5=9$

$9+1=10$

$10-3=7$

Let's break down 4 into a smaller addition problem:

$3+1$

Now we'll get the exercise:

$3+1+9+8=$

Since the exercise only involves addition, we'll use the commutative property and start with the exercise:

$1+9=10$

Now we'll get the exercise:

$3+10+8=$

Let's solve the exercise from right to left:

$10+8=18$

$18+3=21$

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 first solve the division exercise:

$6:2=3$

Now we get the exercise:

$-5+2-3=$

We solve the exercise from left to right:

$-5+2=-3$

$-3-3=-6$