At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
If you mean \(\Large 4.\bar 3\) (i.e. 4.3333...) then they are the same distance away from zero.
Otherwise, -4 1/3 is farther away, since 4.33333... is greater than 4.3.
Think of them as being on a number line - the magnitude of their value is how far away they are from 0.
Not the answer you are looking for? Search for more explanations.
It's not. It's not saying that -4 1/3 = 4.3 - but its distance from 0 is the same (again I'm assuming we're talking about 4.333... here).
Think of all real numbers as being a particular distance from 0. If you take their absolute value - which is their magnitude - then it gives you the 'distance' they are from 0.
Think of a number line of all real numbers, with 0 at the centre, all negative numbers being on the left and all positive numbers on the right. If you take -4 1/3 (which is -4.333...) then you move 4.333... places to the left of 0. If you take 4.333... then you move 4.333... places to the right of 0. They're not the same number, but they're the same magnitude, the same distance from 0.
oh ok thank yyou so much?
No worries. Hopefully it helps a bit. Google "number line" if you're struggling to visualise the concept.