Question
Give two rational numbers lying between 0.515115111511115 and 0. 5353353335...
✓
Answer
Let, a = 0.515115111511115...
And, b = 0.5353353335...
We observe that in the second decimal place a has digit 1 and b has digit 3, therefore, a < b.
So If we consider rational numbers
x = 0.52
y = 0.52062062...
We find that,
a < x < y < b
Hence x and y are required rational numbers.
And, b = 0.5353353335...
We observe that in the second decimal place a has digit 1 and b has digit 3, therefore, a < b.
So If we consider rational numbers
x = 0.52
y = 0.52062062...
We find that,
a < x < y < b
Hence x and y are required rational numbers.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Express the following decimals in the form $\frac{\text{p}}{\text{q}}:$
$125.\bar{3}$
→$125.\bar{3}$
Find the angle whose supplement is four times its complement.
Construct a histogram for the following data:
| Monthly School fee (in ₹): | 30-60 | 60-90 | 90-120 | 120-150 | 150-180 | 180-210 | 210-240 |
| No of schools | 5 | 12 | 14 | 18 | 10 | 9 | 4 |
In figure, if $\angle\text{ACB} = 40^\circ, \angle\text{DPB} = 120^\circ,$ find $\angle\text{CBD}.$
→A field is in the form of a rectangular length 18m and width 15m. A pit 7.5m long, 6m broad and 0.8m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.
Write two solutions of the form x = 0, y = a and x = b, y = 0 for the following equations:
2x + 3y = 24
2x + 3y = 24
Check whether p(x) is a multiple of g(x) or not:
p(x) = 2x3 - 11x2 - 4x + 5, g(x) = 2x + 1
p(x) = 2x3 - 11x2 - 4x + 5, g(x) = 2x + 1
Show that the points A(1, 2), B(-1, -16) and C(0, -7) lie on the graph of the linear equation y = 9x - 7.
A cylinder and a cone have equal radii of their bases and equal heights. Show that their volumes are in the ratio 3 : 1.
If $\text{a}=\frac{3+\sqrt{5}}{2}$ then find the value of $\text{a}^2+\frac{1}{\text{a}^2}.$
→