Exercise

The following are the steps involved in converting $1.5\overline{2}$ into $\frac{p}{q}$ form where, $q\ne 0$. Arrange them in sequential order from the first to last.

$\left(A\right) \therefore 10x=15.2222......$$\left(2\right)$

$\left(B\right)$ Let $x=1.5\overline{2}=1.52222.....$$\left(1\right)$

$\left(C\right) 9x=13.7\Rightarrow x=\frac{13.7}{9}=\frac{137}{90}$

$\left(D\right)$ As periodicity is $1$, multiply the the equation $\left(1\right)$ with $10$

$\left(E\right)$ Subtract the equation $\left(1\right)$ from the equation $\left(2\right)$

Which points are in the fourth quadrant?

Which points are on the $y$-axis?

Write down the coordinates of the points $A$ to $J$ in the given diagram.

Which points are in the first quadrant?

Plot the points $\mathrm{A}(3,3), \mathrm{B}(0,3)$ and $\mathrm{C}(-3,3)$ on a Cartesian plane. Join $\mathrm{OA}$ and $\mathrm{OC}$. Then measure $\angle \mathrm{AOB}$ and $\angle \mathrm{BOC}$.

Plot the points $\mathrm{A}(3,3), \mathrm{B}(0,3)$ and $\mathrm{C}(-3,3)$ on a Cartesian plane. Join $\mathrm{OA}$ and $\mathrm{OC}$. What is the relationship between the line segments $\mathrm{OA}$ and $\mathrm{OC}$?

In the following figure, find the point identify the coordinate $\left(-5, 3\right)$.