Question

State, whether the statements are given, are True or False

The rational number\[ - \dfrac{3}{4}\]lies to the right of zero on the number line.

A) True
B) False

Answer 1

Hint: Using the concept of the number line, that the numbers which are positive that are placed to the right of zero on the number line and the number which is negative that is placed to the left of zero on the number line. So, we analyse the given number and use the concept stated properly and select the given option.

Complete step by step solution: The given number is \[ - \dfrac{3}{4}\].

On a number line the numbers which are positive that are placed to the right of zero on the number line and the number which is negative that is placed to the left of zero on the number line.

Hence, the given number is negative and so we can see that the number is on the left-hand side of the zero on the number line.

The given statement says that \[ - \dfrac{3}{4}\] lies to the right of zero on the number line.

Hence, the above-given statement is false.

Note: A number line is a picture of a graduated straight line that serves as an abstraction for real numbers, denoted by. Every point of a number line is assumed to correspond to a real number and every real number to a point.

A number line can be defined as a straight line with numbers placed at equal intervals along its length. A number line can be extended infinitely in any direction and is usually represented horizontally.