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Lesson Example Discussion Quiz: Class Homework

Step-3

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: \$\| - 19 \| + \| 61 \| + \| - 32 \| \$
2	Step	Let’s start by evaluating the absolute values:	\$\| - 19 \| + \| 61 \| + \| - 32 \| \$
3	Step	The absolute value of any negative number is its positive counterpart	\$\|-19\|\$ = 19
4	Step	61 is already positive so, the absolute value is	\$\|61\|\$ = 61
5	Step	The absolute value of any negative number is its positive counterpart	\$\|-32\|\$ = 32
6	Step	Now, we substitute these values back into the expression:	\$\| - 19 \| + \| 61 \| + \| - 32 \| \$ 19 + 61 + 32
7	Step	Adding these numbers together:	19 + 61 + 32 = 112
8	Step	So, the simplified expression is	112
9	Choice.A	This option is correct. After computing the absolute values and summing them, we get a total of 112	112
10	Choice.B	This option is incorrect because it represents a negative value. However, the sum of absolute values cannot be negative, so - 131 is not possible	(- 131)
11	Choice.C	This option is incorrect. The sum of the absolute values of - 19, 61, and - 32 is greater than 10	10
12	Choice.D	This option is incorrect because it represents a negative value. However, the sum of absolute values cannot be negative, so - 71 is not possible	(- 71)
13	Answer	Option	A
14	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Simplify:
\$| - 19 | + | 61 | + | - 32 | \$

Step

Let’s start by evaluating the absolute values:

\$| - 19 | + | 61 | + | - 32 | \$

Step

The absolute value of any negative number is its positive counterpart

\$|-19|\$ = 19

Step

61 is already positive so, the absolute value is

\$|61|\$ = 61

Step

The absolute value of any negative number is its positive counterpart

\$|-32|\$ = 32

Step

Now, we substitute these values back into the expression:

\$| - 19 | + | 61 | + | - 32 | \$

19 + 61 + 32

Step

Adding these numbers together:

19 + 61 + 32 = 112

Step

So, the simplified expression is

112

Choice.A

This option is correct. After computing the absolute values and summing them, we get a total of 112

112

Choice.B

This option is incorrect because it represents a negative value. However, the sum of absolute values cannot be negative, so - 131 is not possible

(- 131)

Choice.C

This option is incorrect. The sum of the absolute values of - 19, 61, and - 32 is greater than 10

Choice.D

This option is incorrect because it represents a negative value. However, the sum of absolute values cannot be negative, so - 71 is not possible

(- 71)

Answer

Option

Sumup

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