Check whether 1 - 2 is a negative rational number or not?

Given, 1 - 2 A rational number is said to be negative, if its numerator and denominator are such that one of them is a positive integer and the other is a negative integer. So, for the given rational number 1 - 2 , the numerator is positive and the denominator is negative. Hence, 1 - 2 is a negative rational number.

Find four rational numbers equivalent to 6 11 .

Given, 6 11 The two rational numbers are said to equivalent, if one can be obtained from the other by multiplying or dividing its numerator and denominator by the same non-zero number. So, let us multiply the numerator and the denominator of the given rational number by non-zero numbers, 2 , 3 , 4 , 5 , we get 6 11 = 6 × 2 11 × 2 = 6 × 3 11 × 3 = 6 × 4 11 × 4 = 6 × 5 11 × 5 ⇒ 12 22 = 18 33 = 24 44 = 30 55 Hence, the required equivalent rational numbers are 12 22 , 18 33 , 24 44 , 30 55 .

Find four rational numbers equivalent to - 3 8 .

Given, - 3 8 The two rational numbers are said to equivalent, if one can be obtained from the other by multiplying or dividing its numerator and denominator by the same non-zero number. So, let us multiply the numerator and the denominator of the given rational number by non-zero numbers, 2 , 3 , 4 , 5 , we get - 3 8 = - 3 × 2 8 × 2 = - 3 × 3 8 × 3 = - 3 × 4 8 × 4 = - 3 × 5 8 × 5 ⇒ - 3 8 = - 6 16 = - 9 24 = - 12 32 = - 15 40 Hence, the required equivalent rational numbers are - 6 16 = - 9 24 = - 12 32 = - 15 40 .

Find four rational numbers equivalent to 7 - 15 .

Given, 7 - 15 The two rational numbers are said to equivalent, if one can be obtained from the other by multiplying or dividing its numerator and denominator by the same non-zero number. So, let us multiply the numerator and the denominator of the given rational number by non-zero numbers, 2 , 3 , 4 , 5 , we get, 7 - 15 = 7 × 2 - 15 × 2 = 7 × 3 - 15 × 3 = 7 × 4 - 15 × 4 = 7 × 5 - 15 × 5 ⇒ 7 - 15 = 14 - 30 = 21 - 45 = 28 - 60 = 35 - 75 Hence, the required equivalent rational numbers are 14 − 30 = 21 − 45 = 28 - 60 = 35 − 75 .