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

Exercise #1

12+64+1812= 12+6-4+18-12=

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:

12+6=18 12+6=18

184=14 18-4=14

14+18=32 14+18=32

3212=20 32-12=20

Answer

20 20

Exercise #2

1459+7+2= 14-5-9+7+2=

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:

145=9 14-5=9

99=0 9-9=0

0+7=7 0+7=7

7+2=9 7+2=9

Answer

9 9

Exercise #3

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 #4

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 #5

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 #6

266+9+712= 26-6+9+7-12=

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:

266=20 26-6=20

20+9=29 20+9=29

29+7=36 29+7=36

3612=24 36-12=24

Answer

24 24

Exercise #7

30+65+717= 30+6-5+7-17=

Video Solution

Step-by-Step Solution

Insofar as the exercise only involves addition and subtraction operations, we will solve it from left to right:

30+6=36 30+6=36

365=31 36-5=31

31+7=38 31+7=38

3817=21 38-17=21

Answer

21 21

Exercise #8

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 #9

(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 #10

(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 #11

(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

Now we'll get the exercise:

10×9+4 10\times9+4

We'll put 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 #12

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 #13

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 #14

(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 #15

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