Examples with solutions for All Operations in the Order of Operations: Solving the problem

Exercise #1

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 #2

What is the result of the following equation?

364÷2 36-4\div2

Video Solution

Step-by-Step Solution

The given equation is 364÷2 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÷2 4 \div 2 .

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


Now the equation becomes: 362 36 - 2 .


Step 2: Subtraction

  • Perform the subtraction: 362=34 36 - 2 = 34 .

Therefore, the result of the equation 364÷2 36 - 4 \div 2 is 34 34 .

Answer

34

Exercise #3

2569+73= 25-6-9+7-3=

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:

256=19 25-6=19

199=10 19-9=10

10+7=17 10+7=17

173=14 17-3=14

Answer

14 14

Exercise #4

32419+37= 32-4-19+3-7=

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:

324=28 32-4=28

2819=9 28-19=9

9+3=12 9+3=12

127=5 12-7=5

Answer

5 5

Exercise #5

2136+95= 21-3-6+9-5=

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:

213=18 21-3=18

186=12 18-6=12

12+9=21 12+9=21

215=16 21-5=16

Answer

16 16

Exercise #6

(126+9)×(7+3)= (12-6+9)\times(7+3)= ?

Video Solution

Step-by-Step Solution

According to the order of operations, we will first solve the expressions in parentheses and then multiply:

(126+9)=(6+9)=15 (12-6+9)=(6+9)=15

(7+3)=10 (7+3)=10

Then solve the multiplication exercise:

15×10=150 15\times10=150

Answer

150 150

Exercise #7

(159)×(73)= (15-9)\times(7-3)=

Video Solution

Step-by-Step Solution

According to the order of operations rules, we must first solve the expressions inside of the parentheses:

159=6 15-9=6

73=4 7-3=4

We obtain the following expression:

6×4=24 6\times4=24

Answer

24 24

Exercise #8

Solve the following problem using the order of operations:

(166)×9+(73)= (16-6)\times9+(7-3)=

Video Solution

Step-by-Step Solution

According to the order of operations, we'll first solve the exercises in parentheses:

(166)=10 (16-6)=10

(73)=4 (7-3)=4

We should obtain the following exercise:

10×9+4 10\times9+4

We'll place the multiplication exercise in parentheses to avoid confusion in the rest of the solution:

(10×9)+4= (10\times9)+4=

According to the order of operations, we'll solve the multiplication exercise and then add:

90+4=94 90+4=94

Answer

94 94

Exercise #9

Complete the exercise:

2+3×63×7+1= 2+3\times6-3\times7+1=

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 in order to avoid confusion during the solution:

2+(3×6)(3×7)+1= 2+(3\times6)-(3\times7)+1=

We then solve the multiplication exercises:

2+1821+1= 2+18-21+1=

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

2+18=20 2+18=20

2021=1 20-21=-1

1+1=0 -1+1=0

Answer

0

Exercise #10

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 #11

255317+13= 25-5-3-17+13=

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:

255=20 25-5=20

203=17 20-3=17

1717=0 17-17=0

0+13=13 0+13=13

Answer

13 13

Exercise #12

(13×2)(12×1.5)= (13\times2)-(12\times1.5)=

Video Solution

Step-by-Step Solution

According to the order of operations, we will first solve the multiplication exercises in parentheses:

(13×2)=26 (13\times2)=26

(12×1.5)=18 (12\times1.5)=18

Now we will subtract:

2618=8 26-18=8

Answer

8 8

Exercise #13

Solve the following problem using the order of operations:

253×4+4×2= 25-3\times4+4\times2=

Video Solution

Step-by-Step Solution

According to the order of operations, we will first solve the multiplication exercises.

We will put them in parentheses so that we don't get confused later in the solution:

25(3×4)+(4×2)= 25-(3\times4)+(4\times2)=

Let's solve the multiplication exercises:

3×4=12 3\times4=12

4×2=8 4\times2=8

We get:

2512+8= 25-12+8=

Let's solve the exercise from left to right:

2512=13 25-12=13

13+8=21 13+8=21

Answer

21 21