Order of Operations Practice Problems | PEMDAS/BODMAS

The given equation is $36 - 4 \div 2$. To solve this, we must follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Step 1: Division

• Identify the division operation in the equation: $4 \div 2$.

• Perform the division: $4 \div 2 = 2$.

Now the equation becomes: $36 - 2$.

Step 2: Subtraction

• Perform the subtraction: $36 - 2 = 34$.

Therefore, the result of the equation $36 - 4 \div 2$ is $34$.

$100+5-100+5=105-100+5=5+5=10$

We will use the substitution property to arrange the exercise a bit more comfortably, we will add parentheses to the addition operation:
$(3+2+1)-4=$
We first solve the addition, from left to right:
$3+2=5$

$5+1=6$
And finally, we subtract:

$6-4=2$

According to the rules of the order of operations, we will solve the exercise from left to right since it only has addition and subtraction operations:

$9-3=6$

$6+4=10$

$10-2=8$

According to the order of operations, addition and subtraction are on the same level and, therefore, must be resolved from left to right.

However, in the exercise we can use the substitution property to make solving simpler.

-5+4+1-3

4+1-5-3

5-5-3

0-3

-3