Step-5

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 :
\$| 17 times 5 | \div | 4 - 19 | \$

2

Step

Given the expression

\$| 17 times 5 | \div | 4 - 19 | \$

3

Step

First calculate the values inside the absolute values:

4

Step

The absolute value of any positive number is the number itself

\$|17 times 5|\$ = \$|85|\$ = 85

5

Step

The absolute value of any negative number is its positive counterpart

\$|4-19|\$ = \$|-15|\$ = 15

6

Step

Now, we substitute these values back into the original expression:

\$85/15\$

7

Step

The simplified expression is

\$ 17/3\$

8

Choice.A

This option is incorrect. The simplified expression is positive, not negative

\$ - 17/3\$

9

Choice.B

This option is incorrect. It does not represent the correct result of the simplification

\$ 3/17\$

10

Choice.C

This option is correct. After simplifying \$ \∣ 17 × 5 \∣ ÷ \∣ 4 − 19 \∣ \$, we get \$ 17/3 \$

\$17/3\$

11

Choice.D

This option is incorrect. The simplification results in a positive fraction, not a negative one

\$ -3/17\$

12

Answer

Option

C

13

Sumup

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


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