Question

Arrange the following rational number ascending order:a.23,(−4)7,(−8)3,6−9

Answer 1

Answer:

Answer

We shall represent the given numbers with positive denominators.

−9

4

and

−18

7

By multiplying both numerator and denominator by −1 we get,

−9

4

=

−9×−1

4×−1

=

9

−4

and

−18

7

=

−18×−1

7×−1

=

18

−7

Now let's take the LCM of 9,12,18,3 i.e. 36

By multiplying both numerator and denominator by 4 we get,

9

−4

=

9×4

−4×4

=

36

−16

By multiplying both numerator and denominator by 3 we get,

12

−5

=

9×3

−5×3

=

36

−15

By multiplying both numerator and denominator by 3 we get,

18

−7

=

18×2

−7×2

=

36

−14

By multiplying both numerator and denominator by 12 we get,

3

−2

=

3×12

−2×12

=

36

−24

Clearly by comparing the numerators i.e., −24<−16<−15<−14

∴

36

−24

<

36

−16

<

36

−15

<

36

−14

i.e.

3

−2

<

−9

4

<

12

−5

<

−18

7

.