Question

State the absolute value and the opposite of the number.

$-78$

Short answer

The absolute value is78, and the opposite of the number is 78.

Step-by-step solution

. Absolute value of a number

Absolute value of any positive or negative number is always positive and equal to the magnitude of the number. The absolute value of a number N is denoted by$\left|N\right|$ .

For example, the absolute value of 3 is denoted by $\left|3\right|$and is equal to 3.

And the absolute value of $-4$is denoted by $|-4|$and is equal to 4.

. Opposite of a number

Opposite of any real number can be obtained by multiplying it with $-1$. On the number line, opposite of any number be located on the opposite side at the same distance from the midpoint 0.

For example, the opposite of the number $-5$ is 5.

Step 3  . Evaluate the absolute value

The number $-78$ is at a distance of 78 units to the left of 0 on the number line.

So, the absolute value of the given number $-78$ is given by

$|-78|=78$

Thus, the absolute value of the given number is 78.

. Find the opposite of the number

In order to find the opposite of the number, multiply it with$-1$.

So, the opposite of the given number is

$-1(-78)=78$

Thus, the opposite of the number is 78 .