Arrange in ascending order - 2 7 - -2 5 - -3 10

27, 25, 310 =27, 2× 25× 2, 310 =27, 410, 310 3 gt; 4 ⇒ 310 gt; 410 or 310 gt; 25 and 27 gt; 310 gt; 25 since pos ...

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Standard VII

Mathematics

Comparison of Fractions

Arrange in as...

Question

Arrange in ascending order :-
$\frac{2}{7}, \frac{- 2}{5}, \frac{- 3}{10}$

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Solution

$\frac{2}{7}, \frac{- 2}{5}, \frac{- 3}{10}$
$= \frac{2}{7}, \frac{- 2 \times 2}{5 \times 2}, \frac{- 3}{10}$
$= \frac{2}{7}, \frac{- 4}{10}, \frac{- 3}{10}$
$- 3 > - 4$
$\Rightarrow \frac{- 3}{10} > \frac{- 4}{10}$
or $\frac{- 3}{10} > \frac{- 2}{5}$
and $\frac{2}{7} > \frac{- 3}{10} > \frac{- 2}{5}$ since positive number is always greater than the negative number.
$∴, \frac{- 2}{5}, \frac{- 3}{10}, \frac{2}{7}$ are in ascending number.

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[4 MARKS]

Arrange the rational numbers $\frac{- 7}{10}$ , $\frac{5}{- 8}$ , $\frac{2}{- 3}$ in ascending order.

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Arrange in ascending order :-27,−25,−310

27,−25,−310=27,−2×25×2,−310=27,−410,−310−3>−4⇒−310>−410or −310>−25and 27>−310>−25 since positive number is always greater than the negative number.∴,−25,−310,27 are in ascending number.

Arrange in ascending order :-
$\frac{2}{7}, \frac{- 2}{5}, \frac{- 3}{10}$