Question
Write the fraction appropriately as addition or subtraction:
✓
Answer
$\frac15+\frac25\;=\;\;\frac{1+2}5=\frac35$
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Which angle is greater: $\angle XOY$ or $\angle A O B$ ? Give reasons.
$\begin{array}{l}\text {[HINT: } \angle XOY =\angle XOA +\angle A O Y \\ \angle A O B=\angle B O Y+\angle A O Y \\ \therefore \angle XOY -\angle A O B=[\angle X O A+\angle A O Y]-[\angle B O Y+\angle A O Y]\\ =\angle X O A-\angle B O Y\end{array}$
We observe that $\angle X O A>\angle B O Y$
$
\therefore \angle X O A-\angle B O Y>0 \Rightarrow \angle X O Y-\angle A O B>0 \Rightarrow \angle X O Y>\angle A O B]
$
→$\begin{array}{l}\text {[HINT: } \angle XOY =\angle XOA +\angle A O Y \\ \angle A O B=\angle B O Y+\angle A O Y \\ \therefore \angle XOY -\angle A O B=[\angle X O A+\angle A O Y]-[\angle B O Y+\angle A O Y]\\ =\angle X O A-\angle B O Y\end{array}$
We observe that $\angle X O A>\angle B O Y$
$
\therefore \angle X O A-\angle B O Y>0 \Rightarrow \angle X O Y-\angle A O B>0 \Rightarrow \angle X O Y>\angle A O B]
$
In an examination, the grades achieved by $30$ students of a class are given below. Arrange these grades in a table using tally marks: $B, C, C, E, A, C, B, B, D, D, D, D, B, C, C, C, A, C, B, E, A, D, C, B, E, C, B, E, C, D$
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→$i.\ $Thirty million one hundred five thousand sixty$-$three.
$ii.\ $Fifty$-$two million two hundred five thousand six.
$iii.\ $Five million five thousand five.