Question

Find five rational numbers between -1/3 and 1/3

Answer 1

Answer:

-9/30 ; -8/30 ; -7/30 ; -6/30 ; -5/30

Step-by-step explanation:

-1/3 and 1/3

-1/3 = -1*10 / 3*10

      = -10/30

1/3 = 1*10 / 3*10

     =10/30

-10/30 ; -9/30 ; -8/10 ; -7/30 ; -6/30 ; -5/30 ; 10/30

Answer 2

Given: Two rational numbers $\frac{-1}{3} \ and \ \frac{1}{3}$

To find: Five rational numbers between the given numbers

Solution:

To insert five rational numbers between the given numbers, we need to multiply both numerator and denominator by 5 +1 i.e., 6.

∵ $\frac{-1}{3} = \frac{-1}{3}*\frac{6}{6} = \frac{-6}{18}$ and $\frac{1}{3} = \frac{1}{3} *\frac{6}{6} = \frac{6}{18}$

We see that -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, and 5 are integers between -6 and 6.

i.e., $\frac{-6}{18} < \frac{-5}{18} < \frac{-4}{18} < \frac{-3}{18} < \frac{-2}{18} < \frac{-1}{18} < 0 < \frac{1}{18} < \frac{2}{18} < \frac{3}{18} < \frac{4}{18} < \frac{5}{18} < \frac{6}{18}$

We can choose any five rational numbers.

Hence, five rational numbers between the given numbers are:

$\frac{-3}{18}, \frac{-2}{18}, \frac{-1}{18}, \frac{3}{18} \ and \ \frac{4}{18}$