Question
Insert 16 rational numbers between 2.1 and 2.2
✓
Answer
Let: x = 2.1, y = 2.2 and n = 16 We know:$\text{d}=\frac{\text{y}-\text{x}}{\text{n}+1}=\frac{2.2-2.1}{16+1}=\frac{0.1}{17}=\frac{1}{170}=0.005\text{(approx.)}$
So, 16 rational numbers between 2.1 and 2.2 are: (x + d), (x + 2d),...(x + 16d) = [2.1 + 0.005], [2.1 + 2(0.005)],...[2.1 + 16(0.005)] = 2.105, 2.11, 2.115, 2.12, 2.125, 2.13, 2.135, 2.14, 2.145, 2.15, 2.155, 2.16, 2.165, 2.17, 2.175 and 2.18
So, 16 rational numbers between 2.1 and 2.2 are: (x + d), (x + 2d),...(x + 16d) = [2.1 + 0.005], [2.1 + 2(0.005)],...[2.1 + 16(0.005)] = 2.105, 2.11, 2.115, 2.12, 2.125, 2.13, 2.135, 2.14, 2.145, 2.15, 2.155, 2.16, 2.165, 2.17, 2.175 and 2.18
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 graph alongside, line LM is parallel to the Y-axis.
i. What is the distance of line LM from the Y-axis?
ii. Write the co-ordinates of the points P, Q and R.
iii. What is the difference between the x co-ordinates of the points L and M?
Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent.
In the given figure, AB || CD and EF is a transversal, cutting them at G and H respectively. If $\angle\text{EGB}=35^\circ$ and $\text{QP}\perp\text{EF},$ find the measure of $\angle\text{PQH}.$
→If $3^\text{x}=5^\text{y}=(75^\text{z}),$ show that $\text{z}=\frac{\text{xy}}{2\text{x}+\text{y}}.$
→Solve the following sets of simultaneous equations : 2y – x = 0; 10x + 15y = 105
Draw the graph of the following equation.
x = 5
x = 5
Rationales the denominator and simplify:$\frac{\sqrt3-\sqrt2}{\sqrt3+\sqrt2}$
→Rationales the denominator and simplify:$\frac{2\sqrt6-\sqrt5}{3\sqrt5-2\sqrt6}$
→In figure, OCDE is a rectangle inscribed in a quadrant of a circle of radius 10cm. If $\text{OE}=2\sqrt5\text{cm},$ find the area of the rectangle.
→If the polynomial $t^3-3 t^2+k t+50$ is divided by $(t-3)$, the remainder is 62 . Find the value of $k$.
→