Question
Find six rational numbers between 3 and 4 .
✓
Answer
$3.1,3.2,3.3,4.4,3.5,3.6$
[Hint. Here $a=3, b=4$. Take $n=9$. Use $d=\frac{(b-a)}{10}=0.1$.
[Hint. Here $a=3, b=4$. Take $n=9$. Use $d=\frac{(b-a)}{10}=0.1$.
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
In the given figure, ABCD is a parallelogram in which $\angle A =70^{\circ}$. Calculate $\angle B , \angle C$ and $\angle D$.
→If $(a-b)=0.9$ and $a b=0.36$, find the values of : $\left(a^2-b^2\right)$.
→In $ABC, P, Q$ and $R$ are points on $AB, BC$ and $AC$ respectively. Prove that :$AB + BC + AC > PQ + QR + PR.$
→Factorise the following by taking out the common factors:$24m^4n^6 + 56m^6n^4 - 72m^2n^2$
→State, giving reason, whether the given number is rational or irrational:
(i)[$(3+\sqrt{5})$, (ii)$(-1+\sqrt{3})$, (iii )$5 \sqrt{6}$, (iv )$-\sqrt{7}$, (v )$\frac{\sqrt{6}}{4}$, (vi) $\frac{3}{\sqrt{2}}$, (vii) $(3+\sqrt{3})(3-\sqrt{3})$]
→(i)[$(3+\sqrt{5})$, (ii)$(-1+\sqrt{3})$, (iii )$5 \sqrt{6}$, (iv )$-\sqrt{7}$, (v )$\frac{\sqrt{6}}{4}$, (vi) $\frac{3}{\sqrt{2}}$, (vii) $(3+\sqrt{3})(3-\sqrt{3})$]
If $x + 2y = 5,$ then show that $x^3 + 8y^3 + 30xy = 125.$
→The heights (in cm) of 90 plants in a garden are given below :
Calculate the mean height.
| Height (in cm) | 58 | 60 | 62 | 64 | 66 | 74 |
| Number of plants | 20 | 25 | 15 | 8 | 12 | 10 |
Equilateral triangles ABD and ACE are drawn on the sides $A B$ and $A C$ of $\triangle A B C$ as shown in the figure. Prove that :
(i) $\angle DAC =\angle EAB$
(ii) $DC = BE$.
→(i) $\angle DAC =\angle EAB$
(ii) $DC = BE$.
In $\triangle ABC,$ point $D$ divides $AB$ in the ratio $5:7,$ Find $: DE,$ If $BC = 4.8\ cm$
→Factorise : $x-y-x^2+y^2$
→