Question

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

Answer 1

`\frac { 2 } { 3 }`

`-\frac { 1 } { 3 }`

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 }`

Answer 2

2/3 and -1/3

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)
`(1)/(6)+(1)/(2)\\\\ =(1)/(6)+(3)/(6)\\\\ =(4)/(6)\\\\=(2)/(3)`

2)
`(1)/(6)-(1)/(2)\\\\ =(1)/(6)-(3)/(6)\\\\ =(-2)/(6)\\\\ =(-1)/(3)`

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