Visualise $3.765$ on the number line, using successive magnification.
Visualise $3.765$ on the number line, using successive magnification.
$3.765$ lies between $3$ and $4 .$
Let us divide the interval $(3,\,4)$ into $10$ equal parts.
since, $3.765$ lies between $3.7$ and $3.8 .$ We again magnify the interval $[3.7,\,3.8]$ by dividing it further into $10$ parts and concentrate the distance between $3.76$ and $3.77 .$
The number $3.765$ lies between $3.76$ and $3.77 .$ Therefore we further magnify the interval $[3.76,\,3.77]$ into $10$ equal parts.
Now, the point corresponding to $3.765$ is clearly located, as shown in Fig. $(iii)$ above.
Similar Questions
Find an irrational number between $\frac {1}{7}$ and $\frac {2}{7}$
Find an irrational number between $\frac {1}{7}$ and $\frac {2}{7}$
Show that $1.272727 \ldots=1 . \overline{27}$ . can be expressed in the form $\frac {p }{q }$, where $p$ and $q$ are integers and $q \ne 0$.
Show that $1.272727 \ldots=1 . \overline{27}$ . can be expressed in the form $\frac {p }{q }$, where $p$ and $q$ are integers and $q \ne 0$.
Divide $8 \sqrt{15}$ by $2 \sqrt{3}$
Divide $8 \sqrt{15}$ by $2 \sqrt{3}$
Show that $3.142678$ is a rational number. In other words, express $3.142678$ in the form $\frac {p }{q }$, where $p$ and $q$ are integers and $q \ne 0$.
Show that $3.142678$ is a rational number. In other words, express $3.142678$ in the form $\frac {p }{q }$, where $p$ and $q$ are integers and $q \ne 0$.
Is zero a rational number ? Can you write it in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q \ne 0$ ?
Is zero a rational number ? Can you write it in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q \ne 0$ ?