List 5 rational numbers between - 3 5 and - 1 3 .

Given, - 3 5 and - 1 3 In order to insert rational number between the given numbers, we need to equate the denominators of the given numbers. Therefore, - 3 5 = - 3 × 6 5 × 6 = - 18 30 and - 1 3 = - 1 × 10 3 × 10 = - 10 30 5 rational numbers between - 18 30 and - 10 30 are - 17 30 , - 16 30 , - 15 30 , - 14 30 , - 13 30 . Therefore, 5 rational numbers between - 3 5 and - 1 3 are - 17 30 , - 16 30 , - 15 30 , - 14 30 , - 13 30 .

List 5 rational numbers between - 3 5 and - 1 3 .

Given, - 3 5 and - 1 3 In order to insert rational number between the given numbers, we need to equate the denominators of the given numbers. Therefore, - 3 5 = - 3 × 6 5 × 6 = - 18 30 and - 1 3 = - 1 × 10 3 × 10 = - 10 30 5 rational numbers between - 18 30 and - 10 30 are - 17 30 , - 16 30 , - 15 30 , - 14 30 , - 13 30 . Therefore, 5 rational numbers between - 3 5 and - 1 3 are - 17 30 , - 16 30 , - 15 30 , - 14 30 , - 13 30 .

Write three rational numbers equivalent to 3 8 .

Given, 3 8 Equivalent rational numbers are rational numbers that have the same value but which are represented in a different form. In order to find equivalent rational numbers, we need to multiply the numerator and denominator of the given number with the same number. Therefore, 3 8 × 2 2 = 6 16 , 3 8 × 3 3 = 9 24 and 3 8 × 4 4 = 12 32 Hence, three rational numbers equivalent to 3 8 are 6 16 , 9 24 , 12 32 .

Write three rational numbers equivalent to - 4 15

Given, - 4 15 Equivalent rational numbers are rational numbers that have the same value but which are represented in a different form. In order to find equivalent rational numbers, we need to multiply the numerator and denominator of the given number with the same number. Therefore, - 4 15 × 2 2 = - 8 30 , - 4 15 × 3 3 = - 12 45 and - 4 15 × 4 4 = - 16 60 Hence, three rational numbers equivalent to - 4 15 are - 8 30 , - 12 45 , - 16 60 .

Write three rational numbers equivalent to - 3 - 5 .

Given, - 3 - 5 Equivalent rational numbers are rational numbers that have the same value but which are represented in a different form. In order to find equivalent rational numbers, we need to multiply the numerator and denominator of the given number with the same number. Therefore, - 3 - 5 × 2 2 = - 6 - 10 , - 3 - 5 × 3 3 = - 9 - 15 and - 3 - 5 × 4 4 = - 12 - 20 Hence, three rational numbers equivalent to - 3 - 5 are - 6 - 10 , - 9 - 15 , - 12 - 20

Write three rational numbers equivalent to - 2 9 .

Given, - 2 9 Equivalent rational numbers are rational numbers that have the same value but which are represented in a different form. In order to find equivalent rational numbers, we need to multiply the numerator and denominator of the given number with the same number. Therefore, - 2 9 × 2 2 = - 4 18 , - 2 9 × 3 3 = - 6 27 and - 2 9 × 4 4 = - 8 36 Hence, three rational numbers equivalent to - 2 9 are - 4 18 , - 6 27 , - 8 36 .

Write three rational numbers equivalent to 3 - 7 .

Given, 3 - 7 Equivalent rational numbers are rational numbers that have the same value but which are represented in a different form. In order to find equivalent rational numbers, we need to multiply the numerator and denominator of the given number with the same number. Therefore, 3 - 7 × 2 2 = - 6 14 , 3 - 7 × 3 3 = - 9 21 and 3 - 7 × 4 4 = - 12 28 Hence, three rational numbers equivalent to 3 - 7 are - 6 14 , - 9 21 , - 12 28 .

Write three rational numbers equivalent to - 6 5 .

Given, - 6 5 Equivalent rational numbers are rational numbers that have the same value but which are represented in a different form. In order to find equivalent rational numbers, we need to multiply the numerator and denominator of the given number with the same number. Therefore, - 6 5 × 2 2 = - 12 10 , - 6 5 × 3 3 = - 18 15 and - 6 5 × 4 4 = - 24 20 Hence, three rational numbers equivalent to - 6 5 are - 12 10 , - 18 15 , - 24 20 .

Verify whether 2 3 , 3 2 are a pair of equivalent rational numbers.

Given rational numbers are 2 3 and 3 2 . We know that if p q and r s are two equivalent rational numbers such that p q = r s , then p × s = q × r Let p q = 2 3 and r s = 3 2 We get, p × s = 2 × 2 = 4 and q × r = 3 × 3 = 9 ∵ p × s ≠ q × r Therefore, 2 3 and 3 2 are not equivalent rational numbers.

Verify whether - 3 8 , 6 - 16 are a pair of equivalent rational numbers.

Given rational numbers are - 3 8 and 6 - 16 . We know that if p q and r s are two equivalent rational numbers such that p q = r s , then p × s = q × r Let p q = - 3 8 and r s = 6 - 16 We get, p × s = - 3 × - 16 = 48 and q × r = 8 × 6 = 48 ∵ p × s = q × r Therefore, - 3 8 and 6 - 16 are equivalent rational numbers.