Examples with solutions for Parentheses in simple 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:

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 #2

What is the missing sign?

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

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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 #3

Fill in the correct sign:

14+16:4×2 14+16:4\times2

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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

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