Examples with solutions for Associative Property: Only addition and subtraction

Exercise #1

2+43= 2+4-3=

Video Solution

Step-by-Step Solution

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

(2+4)3= (2+4)-3=

63=3 6-3=3

Answer

3

Exercise #2

2+610+302= 2+6-10+30-2=

Video Solution

Step-by-Step Solution

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+(302)= (2+6)-10+(30-2)=

We solve the exercises in parentheses:

810+28= 8-10+28=

We place the subtraction exercise in parentheses:

(810)+28= (8-10)+28=

2+28=26 -2+28=26

Answer

26

Exercise #3

32+10= -3-2+10=

Video Solution

Step-by-Step Solution

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

(32)+10= (-3-2)+10=

5+10= -5+10=

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

105=5 10-5=5

Answer

5

Exercise #4

4+5+13= 4+5+1-3=

Video Solution

Step-by-Step Solution

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

4+5=9 4+5=9

9+1=10 9+1=10

103=7 10-3=7

Answer

7

Exercise #5

5+2a+4= 5+2a+4=

Video Solution

Step-by-Step Solution

Given that in the exercise there is only one addition operation, the substitution property can be used:

5+4+2a= 5+4+2a=

We solve the exercise from left to right:

5+4=9 5+4=9

Now we obtain:

2a+9 2a+9

Answer

2a+9 2a+9

Exercise #6

3+211= 3+2-11=

Video Solution

Step-by-Step Solution

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

3+2=5 3+2=5

511=6 5-11=-6

Answer

6 -6

Exercise #7

(7+2+3)(7+6)(1234)=? (7+2+3)(7+6)(12-3-4)=\text{?}

Video Solution

Answer

780