Question

Find six rational number between the following pair:
−8/3 and −3/2

Answer 1

Answer:

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Class 9

>>Maths

>>Number Systems

>>Re-Introduction to Number

>>Find five rational numbers between -3/2

Question

Bookmark

Find five rational numbers between

2

−3

and

3

5

.

Medium

Solution

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Correct option is D)

Converting the given rational numbers with the same denominators

2

−3

=

2×3

−3×3

=

6

−9

and

3

5

=

3×2

5×2

=

6

10

We know that −9<−8<−7<−6<…<0<1<2<8<9<10

⇒

6

−9

<

6

−8

<

6

−7

<

6

−6

<…<

6

0

<

6

1

<

6

2

<…<

6

8

<

6

9

<

6

10

.

Thus, we have the following five rational numbers between

2

−3

and

3

5

⇒

6

−8

,

6

−7

,

6

0

,

6

1

and

6

2

Answer 2

Answer:

-10/6, -11/6, -12/6, -13/6, -14/6, -15/6

Step-by-step explanation:

LCM of 3 and 2 = 6

therefore, -8/3 x 2/2 = -16/6

                 -3/2 x 3/3 = -9/6

thus six rational numbers between -8/3 and -3/2 can be -10/6, -11/6, -12/6, -13/6, -14/6, -15/6