How would you graph \[ - \dfrac{5}{4}\] on the number line?
Answer
624k+ views
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.
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.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
List of coprime numbers from 1 to 100 class 7 maths CBSE

The plural of Chief is Chieves A True B False class 7 english CBSE

The founder of Jainism was A Rishabhadev B Neminath class 7 social science CBSE

Collective noun a of sailors class 7 english CBSE

Differentiate between weather and climate How do they class 7 social science CBSE

What three things did Gopal do before going to buy class 7 english CBSE


