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.
|- 3/4| > - |3/4|
Practice makes perfect
We want to complete the given statement. To do so, we will evaluate the absolute values on both sides.
|- 3/4| - |3/4|
The absolute value of a number is the distance between this number and 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.
With this in mind, let's simplify the absolute values!
ccc
|- 3/4|= 3/4 [0.9em]
- |3/4|=- 3/4
Next, we can write the fraction as a decimal number to make it easier for us to compare the numbers.
ccc
3/4=0.75
Now, we will plot the numbers on a number line to see which one is greater.
We can see that |- 34| is located to the right of - | 34|. This means it is greater than - | 34|. With this in mind, we can complete our statement.
