represent the following number on the number line
5
Answers
Answer:
(i)
8
7
:
Since the given rational number is greater than zero. So, it will always be represented on the right side of zero on the number line. So, first of all, we need to divide the number line between zero and one into 8 equal parts and the seventh part of the eight parts will be representation of
8
7
on number line. It can be represented as shown in the Image 1 of the figure above.
(ii)
3
−5
:
As we can see that the given fraction is an improper fraction but with a negative sign. So, it will be smaller than zero but greater than -2. Hence, the fraction will lie between zero and negative two. To represent we will divide number line between 0 and −2 into 6 equal parts and the fifth part of the six parts will be
3
−5
. This can be represented as shown in the Image 2 of the figure above.
Representation of -5/6 in the number line
- Divide the line between 0 and -1 to 6 parts, -1 and -2 to 6 parts and so on.
- Since the numerator is less than the denominator, dividing 0 to -1 into 6 parts is sufficient.
- The rational number -5/6 lies at a distance of 5 points, away from 0, towards the negative number line.