Question

How would you graph \[ - \dfrac{5}{4}\] on the number line?

Answer 1

Hint: The number line consists of a set of numbers that increase to the right and decrease to the left, in the number line there are no limits for the number. One can represent any interval on the number line. The number line is also used to show the comparison of the numbers; the example for it is that the number line can also be used to show the linear inequalities.
Complete Step by Step solution:
The given fraction is \[ - \dfrac{5}{4}\]. In order to graph the fraction first write the fraction in the decimal form.
To write the fraction in the decimal form divide the numerator by denominator as,
\[ - \dfrac{5}{4} = - 1.25\]
The decimal form gives the number\[ - 1.25\]that is the number is less than \[ - 1\] and more than\[ - 2\] and lies between both of them.
Also the number \[ - 1.25\] lies in the midway between \[ - 1\] and\[ - 1.5\].
Now, we will consider the representation of the point on the number line as,

Thus, mark the number \[ - 1.25\] on the number line according to the mentioned points.

Note:
As we know that the fraction is used to determine the part of a number or the quantity. The fraction has the numerator and a denominator, the numerator shows the required part and the denominator shows the total part or the whole. The fraction makes the calculation easy and helps in easy representation of larger quantities. The linear inequalities are the expression in which two values are compared by the use of inequality symbols like \[ < , > , \leqslant \] and\[ \geqslant \]. The values can be numeric, algebraic or both the values.