Question

Choose the pair(s) of numbers on the number line that is(are) equidistant from $0.$

• A. $(-2,2)$
• B. $(-3,4)$
• C. $(-6,6)$
• D. Pair of opposite integers

Answer 1

Answer: (A), (C), (D)

Pair of opposite integers

On the number line, verifying the distance of each pairs of numbers from $0$:

$\bullet \underset{–}{(-2,2)}$

Distance of $-2$ from $0$ on number line is $2$ units as depicted in below figure.


Distance of $2$ from $0$ on number line is also $2$ units as depicted in below figure.


As $-2$ and $2$ are at equal distance from $0$ on the number line, the pair of numbers $(-2,2)$ are also equidistant from $0.$

$\bullet \underset{–}{(-3,4)}$

Distance of $-3$ from $0$ on number line is $3$ units as depicted in below figure.


Distance of $4$ from $0$ on the number line is $4$ units as depicted in below figure.


$\therefore$ Pair of numbers $(-3,4)$ are NOT equidistant from $0.$

$\bullet \underset{–}{(-6,6)}$

Distance of $-6$ from $0$ on the number line is $6$ units as depicted in below figure.


Distance of $6$ from $0$ on number line is also $6$ units as depicted in below figure.


$\therefore$ Pair of numbers $(-6,6)$ are equidistant from $0.$

$\bullet$ From the above examples, we can also conclude that the pairs of opposite integers or numbers are equidistant from $0.$