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3 votes
Match the expression on the left with its simplified form on the right. Answer options on the right

may be used more than once.
-(-6)
|-6|
- |6|
|6|
-|-6|

User Pompopo
by
7.6k points

2 Answers

5 votes

To match the expressions on the left with their simplified forms on the right, let's go through each expression one by one:

1. -(-6): The expression -(-6) can be simplified by applying the double negative rule, which states that two negatives cancel each other out and become a positive. Therefore, -(-6) simplifies to 6.

2. | -6 |: The expression | -6 | represents the absolute value of -6. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. In this case, |-6| simplifies to 6.

3. - | 6 |: The expression - | 6 | represents the negative of the absolute value of 6. Since the absolute value of 6 is 6, taking the negative of it gives us -6.

4. | 6 |: The expression | 6 | represents the absolute value of 6, which is simply 6. Therefore, | 6 | simplifies to 6.

5. - 6: The expression - 6 represents the negative of 6. Taking the negative of a positive number results in a negative value, so - 6 remains as -6.

6. |-(-6)|: The expression |-(-6)| can be simplified by first applying the double negative rule to get |-(-6)| = |6|. Then, using the absolute value rule, we know that the absolute value of any positive or zero number is itself. Therefore, |-(-6)| simplifies to 6.

So, matching the expressions on the left with their simplified forms on the right:

-(-6) = 6

|-6| = 6

-|6| = -6

|6| = 6

-6 = -6

|-(-6)| = 6

Explanation:

User Pamatt
by
7.8k points
3 votes

Answer:

To match the expressions on the left with their simplified forms on the right, let's go through each expression one by one:

1. -(-6): The expression -(-6) can be simplified by applying the double negative rule, which states that two negatives cancel each other out and become a positive. Therefore, -(-6) simplifies to 6.

2. | -6 |: The expression | -6 | represents the absolute value of -6. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. In this case, |-6| simplifies to 6.

3. - | 6 |: The expression - | 6 | represents the negative of the absolute value of 6. Since the absolute value of 6 is 6, taking the negative of it gives us -6.

4. | 6 |: The expression | 6 | represents the absolute value of 6, which is simply 6. Therefore, | 6 | simplifies to 6.

5. - 6: The expression - 6 represents the negative of 6. Taking the negative of a positive number results in a negative value, so - 6 remains as -6.

6. |-(-6)|: The expression |-(-6)| can be simplified by first applying the double negative rule to get |-(-6)| = |6|. Then, using the absolute value rule, we know that the absolute value of any positive or zero number is itself. Therefore, |-(-6)| simplifies to 6.

So, matching the expressions on the left with their simplified forms on the right:

-(-6) = 6

|-6| = 6

-|6| = -6

|6| = 6

-6 = -6

|-(-6)| = 6

Explanation:

User Ei Maung
by
7.4k points