Examples with solutions for All Operations in the Order of Operations: Identify the greater value

Exercise #1

Choose the exercise for the highest result

Video Solution

Step-by-Step Solution

Let's solve exercise A:

(4×3)+(5×12)=12+60=72 (4\times3)+(5\times12)=12+60=72

Let's solve exercise B:

(10×3)+(7×5)=30+35=65 (10\times3)+(7\times5)=30+35=65

Let's solve exercise C:

(7×7)+(7×3)=49+21=70 (7\times7)+(7\times3)=49+21=70

Let's solve exercise D:

(25×2)+(15×2)=50+30=80 (25\times2)+(15\times2)=50+30=80

Answer

25×2+12×2 25\times2+12\times2

Exercise #2

Choose the exercise for the highest result

Video Solution

Step-by-Step Solution

Let's solve exercise A:

8×8=64 8\times8=64

Let's solve exercise B:

10×6=60 10\times6=60

Let's solve exercise C:

12×5=60 12\times5=60

Let's solve exercise D:

15×4=60 15\times4=60

Answer

8×(124) 8\times(12-4)

Exercise #3

Fill in the correct sign:

14+16:4×2 14+16:4\times2

___

14+16:(4×2) 14+16:(4\times2)

Video Solution

Step-by-Step Solution

First, we solve the exercise14+16:4×2 14+16:4\times2 According to the order of operations, multiplication and division come before addition and subtraction, therefore we first divide 16 by 4 and then multiply the result by 2:

16:4=4 16:4=4

4×2=8 4\times2=8

Then, we solve the exercise:
14+8=22 14+8=22

Now, we solve the exercise:14+16:(4×2)= 14+16:(4\times2)=

According to the order of operations, the exercise within parentheses is first, so we first multiply 4 by 2 and then proceed to the division operation.

4×2=8 4\times2=8

16:8=2 16:8=2

In the last step we add:14+2=16 14+2=16

Since 22 is greater than 16, the corresponding result is >

Answer

>

Exercise #4

What is the correct sign?
24:6:2 24:6:2 _____24:(6:2) 24:(6:2)

Video Solution

Step-by-Step Solution

We solve the exercise:

24:6:2= 24:6:2=

According to the rules, we solve the exercise from left to right:

24:6=4 24:6=4

4:2=2 4:2=2

Now we solve the exercise:

24:(6:2)= 24:(6:2)=

According to the rules, first we solve the exercise inside the parentheses and then we divide:

6:2=3 6:2=3

24:3=8 24:3=8

Therefore:

3 < 8

Answer

<

Exercise #5

What is the missing sign?

4+73+15 4+7-3+1-5

___

4+(73+15) 4+(7-3+1-5)

Video Solution

Step-by-Step Solution

First, we solve the exercise:

4+73+15= 4+7-3+1-5 =

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

4+7=11 4+7=11

113=8 11-3=8

8+1=9 8+1=9

95=4 9-5=4

Now we solve the exercise:

4+(73+15)= 4+(7-3+1-5) =

According to the rules of the order of operations, we first solve the parentheses and then we will join:

(73+15)= (7-3+1-5)=

(4+15)= (4+1-5)=

(55)=0 (5-5)=0

4+0=4 4+0=4

Therefore:

4=4 4=4

Answer

= =

Exercise #6

What is the greatest value?

Video Solution

Step-by-Step Solution

A:

9×7:3+3=(9×7:3)+3=(63:3)+3=21+3=24 9\times7:3+3=(9\times7:3)+3=(63:3)+3=21+3=24

B:

20+4×3=20+(4×3)=20+12=32 20+4\times3=20+(4\times3)=20+12=32

C:

15×4:6=60:6=10 15\times4:6=60:6=10

D:

123+20=9+20=29 12-3+20=9+20=29

Answer

20+4×3 20+4\times3

Exercise #7

Which has the smallest value?

Video Solution

Step-by-Step Solution

A:

1003×20=100(3×20)=10060=40 100-3\times20=100-(3\times20)=100-60=40

B:

10:5×20=2×20=40 10:5\times20=2\times20=40

C:

504×3=50(4×3)=5012=38 50-4\times3=50-(4\times3)=50-12=38

D':

20:4+10=(20:4)+10=5+10=15 20:4+10=(20:4)+10=5+10=15

Answer

20 ⁣:4+10 20\colon4+10

Exercise #8

Who has the highest value?

Video Solution

Step-by-Step Solution

A:

25050:5=250(50:5)=25010=240 250-50:5=250-(50:5)=250-10=240

B:

100+30=130 100+30=130

C:

20×47=(20×4)7=807=73 20\times4-7=(20\times4)-7=80-7=73

D:

10+4:2=10+(4:2)=10+2=12 10+4:2=10+(4:2)=10+2=12

Answer

25050 ⁣:5 250-50\colon5

Exercise #9

Choose the exercise for the highest result

Video Solution

Step-by-Step Solution

Let's solve exercise A:

(4×11)+10=44+10=54 (4\times11)+10=44+10=54

Let's solve exercise B:

(9×3)+(9×3)=27+27=54 (9\times3)+(9\times3)=27+27=54

Let's solve exercise C:

9+(8×5)+7=9+40+7=49+7=56 9+(8\times5)+7=9+40+7=49+7=56

Let's solve exercise D:

5+(5×10)=5+50=55 5+(5\times10)=5+50=55

Answer

9+8×5+7 9+8\times5+7