Question

In each of the following pairs, which number is to the right of the other on the number line?
0, -2

Answer 1

Hint: We use the concept of number line and check which of the two given numbers lie on the right hand side of the other number. 0 is the dividing number between negative and positive integers on the number line.
* Any number lying on the left hand side of 0 on the number line is negative in sign. Similarly any number lying on the right hand side of 0 on the number line is positive in sign.
* A number line is a representation of numbers on a straight line that extends on both sides (right as well as left) with equal distance between consecutive numbers.

Complete step-by-step solution:
We draw a number line representing few numbers on the left hand side and few on the right hand side of 0.

Since we can see from the number line that 0 lies on the right hand side to the number -2 so 0 is on right hand side of -2

\[\therefore \]0 is on the right hand side of -2

Note: Students should not make the mistake of ignoring the negative sign along with the number 2 as then they will have the answer wrong, carefully observe the two given numbers and then depict them on the number line for further verification.
Alternate method:
Since we know a number line contains all negative integers on the left hand side of 0 and all positive integers on the right hand side of 0.
We can say that -2 lies on the left hand side of 0 on the number line.
\[\therefore \]0 lies on the right hand side of -2.