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Lesson Example Discussion Quiz: Class Homework

Step-5

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	Simplify { 2 × (3 + 5) − [ 4 × ( 2 − 1 ) ] } ÷ 2
2	Step	Given expression	{ 2 × (3 + 5) − [ 4 × ( 2 − 1 ) ] } ÷ 2
3	Step	Evaluate expressions within parentheses first	3 + 5 = 8 2 - 1 = 1 \$ 4 \times 1 \$ = 4
4	Step	Perform multiplication within each set of parentheses	\$ 2 \times 8 \$ = 16 \$ 4 \times 1 \$ = 4
5	Step	Subtract the result of the multiplication within the brackets from the result of the multiplication outside the brackets	16 - 4 = 12
6	Step	Divide the result by 2	\$ 12 / 2 \$ = 6
7	Step	So, the solution to the expression is 6.
8	Choice.A	This option suggests that the simplified expression equals 6. However, after correctly following the order of operations (PEMDAS), the result of the expression is 14, not 6. Therefore, this option is incorrect	6
9	Choice.B	This option implies that the simplified expression equals 8. However, when correctly evaluated, the result of the expression is 14. Thus, this option is incorrect	8
10	Choice.C	This option suggests that the simplified expression equals 12. However, the correct result of the expression is 14, not 12. Therefore, this option is incorrect	12
11	Choice.D	This option correctly indicates that the simplified expression equals 16	16
12	Answer	Option	A
13	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Simplify
{ 2 × (3 + 5) − [ 4 × ( 2 − 1 ) ] } ÷ 2

Step

Given expression

{ 2 × (3 + 5) − [ 4 × ( 2 − 1 ) ] } ÷ 2

Step

Evaluate expressions within parentheses first

3 + 5 = 8
2 - 1 = 1
\$ 4 \times 1 \$ = 4

Step

Perform multiplication within each set of parentheses

\$ 2 \times 8 \$ = 16
\$ 4 \times 1 \$ = 4

Step

Subtract the result of the multiplication within the brackets from the result of the multiplication outside the brackets

16 - 4 = 12

Step

Divide the result by 2

\$ 12 / 2 \$ = 6

Step

So, the solution to the expression is 6.

Choice.A

This option suggests that the simplified expression equals 6. However, after correctly following the order of operations (PEMDAS), the result of the expression is 14, not 6. Therefore, this option is incorrect

Choice.B

This option implies that the simplified expression equals 8. However, when correctly evaluated, the result of the expression is 14. Thus, this option is incorrect

Choice.C

This option suggests that the simplified expression equals 12. However, the correct result of the expression is 14, not 12. Therefore, this option is incorrect

Choice.D

This option correctly indicates that the simplified expression equals 16

Answer

Option

Sumup

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