Question

A point is plotted on the number line at 2 2/5 . A second point is plotted at −4 3/4 . What is the length of a line segment joining these points? Enter your answer as a simplified mixed number in the box.

Answer 1

Answer:

• 7 3/20

Step-by-step explanation:

The distance is the absolute value of the difference of the coordinates:

• 2 2/5 - (-4 3/4) =
• 2 2/5 + 4 3/4 =
• 6 + 2/5 + 3/4 =
• 6 + 8/20 + 15/20 =
• 6 23/20 =
• 7 3/20

Answer 2

Distance=

$\\ \sf\longmapsto \left|2\dfrac{2}{5}-(-4\dfrac{3}{4})\right|$

$\\ \sf\longmapsto \left|2\dfrac{2}{5}+4\dfrac{3}{4}\right|$

$\\ \sf\longmapsto \left|\dfrac{12}{5}+\dfrac{19}{4}\right|$

$\\ \sf\longmapsto \left|\dfrac{48+95}{20}\right|$

$\\ \sf\longmapsto \left|\dfrac{143}{20}\right|$

$\\ \sf\longmapsto \left|7\dfrac{3}{20}\right|$

$\\ \sf\longmapsto 7\dfrac{3}{20}$