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Lesson Example Discussion Quiz: Class Homework

Step-3

Title: Grouping Symbols

Grade: 6-a Lesson: S1-L6

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Calculate the expression: { [ 3 + \$ \| - ( 5 − 2 )\| \$ ] × 2 } − 4
2	Step	To calculate the expression:	{ [ 3 + \$ \| - ( 5 − 2 )\| \$ ] × 2 } − 4
3	Step	Inside the innermost parentheses, we have	\$ \| - ( 5 − 2 )\| = \| - 3 \| \$
4	Step	The absolute value of - 3 is 3, we have:	\$ \| - 3 \| = 3\$
5	Step	Then we add 3 to 3, which equals	3 + 3 = 6
6	Step	After that, we multiply 6 by 2, which equals	\$ 6 times 2 = 12 \$
7	Step	Finally, we subtract 4 from 12, which equals	12 - 4 = 8
8	Step	Therefore, the calculate expression is 8.
9	Choice.A	This option suggests that the result of the expression is -12. However, after evaluating the expression according to PEMDAS, we find that the result is positive, not negative	-12
10	Choice.B	This option implies that the result of the expression is 24. However, after evaluating the expression correctly, the result is 8, not 24	24
11	Choice.C	This option suggests that the result of the expression is 16. However, this result is incorrect. The correct result is 8	16
12	Choice.D	This option indicates that the evaluated expression equals 8. This is the correct result	8
13	Answer	Option	D
14	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Calculate the expression:
{ [ 3 + \$ | - ( 5 − 2 )| \$ ] × 2 } − 4

Step

To calculate the expression:

{ [ 3 + \$ | - ( 5 − 2 )| \$ ] × 2 } − 4

Step

Inside the innermost parentheses, we have

\$ | - ( 5 − 2 )| = | - 3 | \$

Step

The absolute value of - 3 is 3, we have:

\$ | - 3 | = 3\$

Step

Then we add 3 to 3, which equals

3 + 3 = 6

Step

After that, we multiply 6 by 2, which equals

\$ 6 times 2 = 12 \$

Step

Finally, we subtract 4 from 12, which equals

12 - 4 = 8

Step

Therefore, the calculate expression is 8.

Choice.A

This option suggests that the result of the expression is -12. However, after evaluating the expression according to PEMDAS, we find that the result is positive, not negative

-12

Choice.B

This option implies that the result of the expression is 24. However, after evaluating the expression correctly, the result is 8, not 24

Choice.C

This option suggests that the result of the expression is 16. However, this result is incorrect. The correct result is 8

Choice.D

This option indicates that the evaluated expression equals 8. This is the correct result

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?