Question

What two numbers are located 1/2 of a unit from 1/6 on a number line?

Answer 1

Answer:

2/3 and -1/3

Step-by-step explanation:

We have to find which two numbers on the number line are at a distance of 1/2 from 1/6.

The two numbers that are 1/2 units away from 1/6 will be:

1) $\frac{1}{6}+\frac{1}{2}\\\\ =\frac{1}{6}+\frac{3}{6}\\\\ =\frac{4}{6}\\\\=\frac{2}{3}$

2) $\frac{1}{6}-\frac{1}{2}\\\\ =\frac{1}{6}-\frac{3}{6}\\\\ =\frac{-2}{6}\\\\ =\frac{-1}{3}$

Thus the two numbers are: 2/3 and -1/3

Answer 2

Answer:

$\frac { 2 } { 3 }$

$-\frac { 1 } { 3 }$

Step-by-step explanation:

We are to find two numbers that are located at a distance of $\frac { 1 } { 2 }$ unit from $\frac { 1 } { 6 }$ on the number line.

For this, we need to add and subtract $\frac { 1 } { 2 }$ to and from $\frac { 1 } { 6 }$.

$\frac { 1 } { 6 } + \frac { 1 } { 2 } = \frac { 2 } { 3 }$

$\frac { 1 } { 6 } - \frac { 1 } { 2 } = -\frac { 1 } { 3 }$