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Title: Absolute values

Grade: 6-a Lesson: S1-L5

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Simplify : \$- \|( - 5) times 4 \| times 3\$
2	Step	Given expression is	\$- \|( - 5) times 4 \| times 3\$
3	Step	First, let’s simplify the expression inside the absolute value:	\$- \|(- 5) times 4 \| = - \| - 20 \| \$
4	Step	Then, since the absolute value of - 20 is 20, we have:	\$ - \| - 20 \| = - 20 \$
5	Step	Now, we multiply by 3:	\$ − 20 times 3 = - 60 \$
6	Step	So, the simplified expression is	(- 60)
7	Choice.A	Option A states that the answer is 30, but as we have just shown, the correct answer is 60. This means option A is incorrect	30
8	Choice.B	The error lies in applying the negative sign before evaluating the absolute value, resulting in - 40 incorrectly	(- 40)
9	Choice.C	20 isn’t accurate; it lacks the negative sign, essential for a negative result in the original expression	20
10	Choice.D	Correct; starting with - 5 times 4 gives - 20, absolute value yields 20, then multiply by 3 for - 60	(- 60)
11	Answer	Option	D
12	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Simplify :
\$- |( - 5) times 4 | times 3\$

Step

Given expression is

\$- |( - 5) times 4 | times 3\$

Step

First, let’s simplify the expression inside the absolute value:

\$- |(- 5) times 4 | = - | - 20 | \$

Step

Then, since the absolute value of - 20 is 20, we have:

\$ - | - 20 | = - 20 \$

Step

Now, we multiply by 3:

\$ − 20 times 3 = - 60 \$

Step

So, the simplified expression is

(- 60)

Choice.A

Option A states that the answer is 30, but as we have just shown, the correct answer is 60. This means option A is incorrect

Choice.B

The error lies in applying the negative sign before evaluating the absolute value, resulting in - 40 incorrectly

(- 40)

Choice.C

20 isn’t accurate; it lacks the negative sign, essential for a negative result in the original expression

Choice.D

Correct; starting with - 5 times 4 gives - 20, absolute value yields 20, then multiply by 3 for - 60

(- 60)

Answer

Option

Sumup

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