Addition, Subtraction, Multiplication and Division - Examples, Exercises and Solutions

According to the rules of the order of operations, given that the exercise only involves subtraction and addition operations, we solve the exercise from left to right:

$3+2=5$

$5-1=4$

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

9+3=11

11-1=10

And this is the solution!

Division and multiplication are on the same level of order of operations,

therefore, when encountering such a case, we will always solve from left to right.

10*2=20

20/4=5

According to the rules of the order of operations, the exercise which contains both multiplication and division should be solved from left to right.

$30:5=6$

$6\times2=12$

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

$10-3=7$

$7+7=14$

$14-5=9$

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

$3+8+(4\times3)=$

$4\times3=12$

Now, we solve the addition exercise from left to right:

$3+8+12=$

$11+12=23$

According to the order of operations, we put the multiplication and division exercise in parentheses:

$(15:5)+(4\times3)=$

Now we solve the parentheses:

$15:5=3$

$4\times3=12$

And we get the exercise:

$3+12=15$

According to the order of operations, we place the multiplication and division exercise within parentheses:

$(20:4)+(3\times2)=$

Now we solve the exercises within parentheses:

$20:4=5$

$3\times2=6$

And we obtain the exercise:

$5+6=11$

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 rules of the order of arithmetic operations, we begin by enclosing the multiplication exercise inside parentheses:

$2-(5\times3)+4=$

We then solve the said exercise inside of the parentheses:

$5\times3=15$

We obtain the following:

$2-15+4=$

Lastly we solve the exercise from left to right:

$2-15=-13$

$-13+4=-9$

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

$-7+5=-2$

$-2+2=0$

$0+1=1$

According to the rules of the order of arithmetic operations, we must first solve the multiplication exercises.

We place them inside of parentheses to avoid confusion during the solution:

$4-(5\times7)+3=$

We then solve the multiplication exercises:

$4-35+3=$

Lastly we solve the rest of the exercise from left to right:

$4-35=-31$

$-31+3=-28$

According to the order of operations rules, we must first solve the division problem, and subsequently the subtraction problem:

$3:4=\frac{3}{4}$

$11-\frac{3}{4}=10\frac{1}{4}$

According to rules of the order of operations, we must first place the division operation within parentheses:

$11-(3:4)=$

We then proceed to solve the operation inside of the parentheses:

$3:4=\frac{3}{4}$

We should obtain the following expression:

$11-\frac{3}{4}=10\frac{1}{4}$

According to the rules of the order of operations we should first solve the exercise from left to right since it only contains a division operation:

$80:4=20$

$20:2=10$

$10:5=2$