Question

What numbers are a distance of 3/4 unit from 1/8 on a number line? Select the locations on the number line to plot the points.

Answer 1

3/4 = 6/8. so 6/8-1/8= 5/8. 5/8 is the answer.

Answer 2

Answer:

$\frac{7}{8}\text{ and }-\frac{5}{8}$

Step-by-step explanation:

Let x be the number which is $\frac{3}{4}$ unit from $\frac{1}{8}$,

That is,

$|x-\frac{1}{8}| =\frac{3}{4}$

$x-\frac{1}{8}=\pm \frac{3}{4}$

$x=\frac{1}{8}\pm \frac{3}{4}$

$\implies x=\frac{1}{8}+\frac{3}{4}\text{ or }x=\frac{1}{8}-\frac{3}{4}$

$x=\frac{1+6}{8}\text{ or }x=\frac{1-6}{8}$

$x=\frac{7}{8}\text{ or }x=-\frac{5}{8}$

Hence, 7/8 and -5/8 are 3/4 unit far from 1/8 on the number line.