Absolute value: Identifying Number opposites

The opposite of a number is the number with the same magnitude but different sign. The absolute value of a number is always positive or zero. Let's examine the given numbers:

$\left|-7\right|$ represents the absolute value of -7, which is 7.

$\left|7\right|$ represents the absolute value of 7, which is also 7.

Since both absolute values are equal and positive, they represent the same number, not opposites. Therefore, they are not opposite numbers.

The opposite of a number is defined as the number with the same absolute value but different signs.

We have:

$\left|-5\right| = 5$ and $\left|5\right| = 5$.

Both these absolute values are equal and positive, meaning they are the same number, not opposites. Therefore, the numbers are not opposite.

The opposite of a number is what you add to a number to get zero. The opposite of a positive number is a negative number. And the opposite of a negative number is a positive number.

For instance, the opposite of the number $123$ is $-123$.

In this question, we are asked about $-\left|-123\right|$ and $\left|+123\right|$.

The absolute value of any number, whether positive or negative, is its distance from zero on the number line, without considering the direction. Thus, $\left|+123\right| = 123$ and $\left|-123\right| = 123$.

Therefore, $-\left|-123\right| = -123$ and $+\left|123\right| = 123$.

Since $-123$ is indeed the opposite of $+123$, the correct answer is Yes.

The opposite of a number is what you add to a number to get zero. The opposite of a positive number is a negative number. And the opposite of a negative number is a positive number.

For instance, the opposite of the number $56$ is $-56$.

In this question, we are dealing with $-\left|-56\right|$ and $\left|+56\right|$.

The absolute value of a number is the distance from zero, which is always positive. Hence, $\left|+56\right| = 56$ and $\left|-56\right| = 56$.

Therefore, $-\left|-56\right| = -56$ and $+\left|56\right| = 56$.

Thus, $-56$ and $56$ are opposites, and the answer is Yes.