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.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

We have seen the example of expenditure and income (in terms of polynomials) of Govind who is a dry land farmer. He has borrowed rupees one lakh twenty-five thousand from the bank as an agriculture loan and repaid the said loan at 10 p.c.p.a.
He had spent ₹ 10,000 on seeds. The expenses on soyabean crop was ₹ 2000x for fertilizers and pesticides and ₹ $4000 x^2$ was spent on wages and cultivation. He spent $₹ 8000 y$ on fertilizers and pesticides and $₹ 9000 y^2$ on cultivation and wages for cotton and tur crop.
His total income was
$\text { ₹ }\left(14000 x^2+\frac{25000}{3} y^2+16000 y\right)$
By taking $x=2, y=3$ write the income expenditure account of Govind's farming.
In a village, the milk was collected from 50 milkmen at a collection center in litres as given below:
27, 75, 5, 99, 70, 12, 15, 20, 30, 35, 45, 80, 77,
90, 92, 72, 4, 33, 22, 15, 20, 28, 29, 14, 16, 20,
72, 81, 85, 10, 16, 9, 25, 23, 26, 46, 55, 56, 66,
67, 51, 57, 44, 43, 6, 65, 42, 36, 7, 35
By taking suitable classes, prepare grouped frequency distribution table.
Simplify : $4 \sqrt{12}-\sqrt{75}-7 \sqrt{48}$
A cylindrical tub of radius 12cm contains water to a depth of 20cm. A spherical form ball is dropped into the tub and thus the level of water is raised by 6.75cm. What is the radius of the ball?
The external dimensions of a closed wooden box are $48cm, 36cm, 30cm$. The box is made of 1.5cm thick wood. How many bricks of size $6cm \times 3cm \times 0.75cm$ can be put in this box?
In figure, show that AB || EF.
Find the volume of a conical tank with the following dimensions in liters:
Height $12cm$, slant height $13cm.$
The capacity of a closed cylindrical vessel of height 1m is $15.4 liters$. How many square meters of the metal sheet would be needed to make it?
Diagonals of a rectangle ABCD intersect at point O. If AC = 8 cm, then find BO and if ∠CAD = 35°, then find ∠ACB.
If O is the centre of the circle, find the value of x in the following figure: