Examples with solutions for All Operations in the Order of Operations: More than Four Numbers

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

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 #5

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 #6

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 #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

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 #9

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

Exercise #10

1+2×37:4= 1+2\times3-7:4=

Video Solution

Step-by-Step Solution

According to the rules of the order of arithmetic operations, we must first enclose both the multiplication and division exercises inside of parentheses:

1+(2×3)(7:4)= 1+(2\times3)-(7:4)=

We then solve the exercises within the parentheses:

2×3=6 2\times3=6

7:4=74 7:4=\frac{7}{4}

We obtain the following:

1+674= 1+6-\frac{7}{4}=

We continue by solving the exercise from left to right:

1+6=7 1+6=7

774= 7-\frac{7}{4}=

Lastly we break down the numerator of the fraction with a sum exercise as seen below:

7(4+34) 7-(\frac{4+3}{4})

7(44+34) 7-(\frac{4}{4}+\frac{3}{4})

7(1+34) 7-(1+\frac{3}{4})

7134=514 7-1\frac{3}{4}=5\frac{1}{4}

Answer

514 5\frac{1}{4}