Question 359497
Well, you don't really need a number line to solve this. <br>

Whenever you use absolute value, you are in a sense, just finding the number's distance from the number line.<br>

Absolute value is defined as this for |x|:<br>

If x<0, then |x|=-x<br>

If x>=0, then |x|=x<br>

So for your first example, you have -3 and +1<br>

The absolute value of -3 is 3<br>

The absolute value of +1 is 1<br>

3 is bigger than 1, so -3 has a bigger absolute value!<br>

For your second example of -2 and +4<br>

The absolute value of -2 is 2<br>

The absolute value of +4 is 4<br>

Thus +4 would have the bigger absolute value.<br>

And in both cases, the number with the BIGGER absolute value would be farther away from zero on the number line.<br>

In general, the farther away you get from zero on the number line, the bigger the absolute value of those numbers!!!<br>

I hope this helps!<br>