The absolute value of a number is its distance from 0 on the number line. Since distance is always greater than or equal to 0, the absolute value of any number is greater than or equal to 0.
4 < |- 8|
The absolute value of a number is its distance from 0 on the number line. Since distance is always greater than or equal to 0, the absolute value of any number is greater than or equal to 0. The absolute value of a non-negative number is equal to the number, while the absolute value of a negative number is equal to its opposite.
Now, we want to complete the given statement using one of the inequality signs or an equal sign.
4 |-8|
Since - 8 is a negative number, its absolute value is equal to its opposite.
|- 8|= 8
We will plot the numbers on a number line to see which number is greater than the other.
The number that is farther to the left is lesser. The farthest to the left is 4, so 4 is less than |- 8|.
4 < |- 8|
