List five rational numbers between - 2 5 and - 5 7 .

The given rational numbers are - 2 5 and - 5 7 . We know that, To write the rational numbers between the given rational numbers, need to take the LCM for the denominators or write the equivalent fractions with the same denominators. So, - 2 5 = - 2 × 7 5 × 7 = - 14 35 - 5 7 = - 5 × 5 7 × 5 = - 25 35 The rational numbers between - 14 35 and - 25 35 are - 15 35 , - 16 35 , - 17 35 , - 18 35 , - 19 35 , - 20 35 , - 21 35 , - 22 35 , - 23 35 , that is lies between - 14 35 and - 25 35 . Hence, - 16 35 , - 17 35 , - 18 35 , - 19 35 , - 20 35 are the five rational numbers between - 2 5 and - 5 7 .

The rational number - 5 - 11 and 6 17 lies on the same side of zero on the number line.

Rational numbers can be expressed in p q form when q ≠ 0 Rational numbers, can be represented on a number line. All positive rational numbers lie on the right side of 0 and all negative rational numbers lie on the left of 0 on a number line. Let us draw a number line where all the positive numbers lie on the right side of zero and negative numbers lie on the left side of zero. The given rational numbers are - 5 - 11 and 6 17 . Now, the numerator and denominator of both the rational numbers have the same sign, so they are positive rational numbers. Therefore, the given rational numbers lie on the right of 0 . Hence, the given rational numbers lie on the same side of zero on the number line.

Find four rational numbers between 1 2 and 5 7 .

The given rational numbers are 1 2 and 5 7 . We know that, To write the rational numbers between the given rational numbers, need to take the LCM for the denominators or write the equivalent fractions with the same denominators. So, 1 2 = 1 × 14 2 × 14 = 14 28 5 7 = 5 × 4 7 × 4 = 20 28 The rational numbers between 14 28 and 20 28 are 15 28 , 16 28 , 17 28 , 18 28 , 19 28 . , that is lies between 1 2 and 5 7 . Hence, 16 28 , 17 28 , 18 28 , 19 28 are the four rational numbers between 1 2 and 5 7 .