Represent these numbers on the number line. (i) 7/4 (ii) -5/6
Solution:
The positive numbers are on the right of 0 and negative numbers are represented on the left of 0 on a number line.
The denominator of the rational number indicates the number of equal parts into which one unit of a number line has to be divided into whereas the numerator indicates how many of these parts are to be taken into consideration.
(i) 7/4
Since 7/4 is an improper fraction, we will convert this to a mixed fraction.
7/4 = \(1{\Large\frac{3}{4}}\)
The first unit has to be divided into 4 parts and we have to make 7 markers of distance towards the right of 0.
These markings will begin with 1/4 upto 7/4.
4/4 = 1 on the number line, thus, to plot \(1{\Large\frac{3}{4}}\)we will move three positions towards the right from 4/4 which is 7/4.
(ii) -5/6
The first unit has to be divided into 6 parts and we have to make 5 markers of distance towards the left of 0 since it is negative.
These markings will begin with -1/6 up to -5/6.
Hence, we will move by five positions towards the left from 0 which is -5/6.
☛ Check: NCERT Solutions for Class 8 Maths Chapter 1
Video Solution:
Represent these numbers on the number line (i) 7/4 (ii) -5/6
NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.2 Question 1
Summary:
The numbers (i) 7/4 (ii) -5/6 have been represented on the number line. The positive numbers are towards the right of 0 and negative numbers are represented on the left of 0.
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