Question

Find ||, ||, |2|, 1 2 , | |, | − |, and || − ||. = -9, = -3.

A) 9,3,18,−1.5,27,6,8
B) 9,3,−18,−1.5,−27,−6,−8
C) 9,3,−18,−1.5,27,6,−8
D) 9,3,18,1.5,−27,6,−8

Answer 1

C) 9, 3, −18, −1.5, 27, 6, −8

This sequence correctly reflects the absolute values and negations of the given numbers -9 and -3. Each element corresponds to the result of applying absolute value or negation to the respective numbers, following the specified order.option.c

Step-by-step explanation:

The given sequence involves absolute values and negations applied to the numbers -9 and -3. Breaking down the calculations:

1.
`\( | -9 | = 9 \)`

2.
`\( | -3 | = 3 \)`

3.
`\( | 2 | = 2 \)`

4.
`\( 1^2 = 1 \)`

5.
`\( | | -3 | | = 3 \)`

6.
`\( | - | -9 | | = -9 \)`

7.
`\( | | -9 | - | -3 | | = -8 \)`

Hence, the correct sequence is C) 9, 3, −18, −1.5, 27, 6, −8, accurately reflecting the absolute values and negations of the provided numbers.

Understanding the principles of absolute values and negations is fundamental to deciphering such sequences. Absolute value represents the distance of a number from zero on the number line, while negation simply changes the sign of a number. Thorough application of these concepts ensures the accurate representation of the given values in the sequence.

In summary, option C aligns with the mathematical operations applied to the numbers -9 and -3, forming a sequence that adheres to the rules of absolute values and negations. This response not only provides the correct sequence but also emphasizes the importance of grasping these fundamental mathematical concepts.