Examples with solutions for All Operations in the Order of Operations: 4 Numbers

Exercise #1

Solve:

93+42 9-3+4-2

Video Solution

Step-by-Step Solution

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:

93=6 9-3=6

6+4=10 6+4=10

102=8 10-2=8

Answer

8

Exercise #2

25+619+7= 25+6-19+7=

Video Solution

Step-by-Step Solution

Due to the fact that the exercise only involves addition and subtraction operations, we will solve it from left to right:

25+6=31 25+6=31

3119=12 31-19=12

12+7=19 12+7=19

Answer

19 19

Exercise #3

3+41+40= 3+4-1+40=

Video Solution

Step-by-Step Solution

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:

3+4=7 3+4=7

71=6 7-1=6

6+40=46 6+40=46

Answer

46 46

Exercise #4

7+5+2+1= -7+5+2+1=

Video Solution

Step-by-Step Solution

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 -7+5=-2

2+2=0 -2+2=0

0+1=1 0+1=1

Answer

1 1

Exercise #5

100+5100+5 100+5-100+5

Video Solution

Step-by-Step Solution

100+5100+5=105100+5=5+5=10 100+5-100+5=105-100+5=5+5=10

Answer

10

Exercise #6

Complete the exercise:

45×7+3= 4-5\times7+3=

Video Solution

Step-by-Step Solution

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(5×7)+3= 4-(5\times7)+3=

We then solve the multiplication exercises:

435+3= 4-35+3=

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

435=31 4-35=-31

31+3=28 -31+3=-28

Answer

28 -28

Exercise #7

25×6941= 25\times6-9-41=

Video Solution

Step-by-Step Solution

According to the order of operations, we first put the multiplication exercise in parentheses to avoid confusion in the rest of the solution:

(25×6)941= (25\times6)-9-41=

Let's solve the multiplication exercise first:

150941= 150-9-41=

Now let's solve the exercise from left to right:

1509=141 150-9=141

14141=100 141-41=100

Answer

100 100

Exercise #8

8:2(2+2)= 8:2(2+2)=

Video Solution

Step-by-Step Solution

Let's start with the part inside the parentheses. 

2+2=4 2+2=4
Then we will solve the exercise from left to right 

8:2=4 8:2=4
4×(4)=16 4 × (4)=16

The answer: 16 16

Answer

16

Exercise #9

7(5)+8.5+(13)=? -7-(-5)+8.5+(-13)=\text{?}

Video Solution

Step-by-Step Solution

Let's begin by expanding the parentheses. Make sure to pay attention to the minus and plus signs, which change accordingly:

(5)=5 -(-5)=5

8.5+(13)=8.513 8.5+(-13)=8.5-13

We should obtain the following:

7+5+8.513= -7+5+8.5-13=

Now let's solve the exercise from left to right:

2+8.513= -2+8.5-13=

6.513=6.5 6.5-13=-6.5

Answer

6.5 -6.5

Exercise #10

7.5+(9.5)+5+(13.5)=? 7.5+(-9.5)+5+(-13.5)=\text{?}

Video Solution

Step-by-Step Solution

Let's begin by expanding the parentheses whilst paying attention to the minus and plus signs, which change accordingly:

+(9.5)=9.5 +(-9.5)=-9.5

+(13)=13 +(-13)=-13

We should obtain the following:

7.59.5+513.5= 7.5-9.5+5-13.5=

Now let's solve the exercise from left to right:

2+513.5= -2+5-13.5=

313.5=10.5 3-13.5=-10.5

Answer

10.5 -10.5