Which of these are negative rational numbers? i - 2 3 i i 5 7 i i i 3 - 5 i v 0 v 6 11 v i - 2 - 9

Given rational numbers are i - 2 3 i i 5 7 i i i 3 - 5 i v 0 v 6 11 v i - 2 - 9 A rational number is negative, if its numerator and denominator are of the opposite signs. From the given, - 2 3 , 3 - 5 are the rational numbers, where numerators and denominators are of the opposite signs. Hence, - 2 3 , 3 - 5 are negative rational numbers.

Find the standard form of - 18 45 .

We need to find the standard form of - 18 45 . To reduce the given rational number to its standard form, we divide its numerator and denominator by their HCF, ignoring the negative sign. The HCF of 18 and 45 is 9 . ∴ - 18 45 = - 18 ÷ 9 45 ÷ 9 = - 2 5 . Hence, the standard form of - 18 45 is - 2 5 .

Find the standard form of - 12 18 .

We need to find the standard form of - 12 18 . To reduce the given rational number to its standard form, we divide its numerator and denominator by their HCF, ignoring the negative sign. The HCF of 12 and 18 is 6 . ∴ - 12 18 = - 12 ÷ 6 18 ÷ 6 = - 2 3 . Hence, the standard form of - 12 18 is - 2 3 .

List five rational numbers between - 4 5 and - 2 3 .

Given numbers are - 4 5 and - 2 3 . We have to find out the five rational numbers between the given numbers. Let us write - 4 5 and - 2 3 as rational numbers with denominators 45 . We have, - 4 5 × 9 9 = - 36 45 and - 2 3 × 15 15 = - 30 45 . So, - 36 45 < - 35 45 < - 34 45 < - 33 45 < - 32 45 < - 31 45 < - 30 45 or - 4 5 < - 35 45 < - 34 45 < - 33 45 < - 32 45 < - 31 45 < - 2 3 We know - 33 45 can be written as - 11 15 and - 35 45 can be written as - 7 9 . Hence, five rational numbers between - 4 5 and - 2 3 are - 7 9 , - 34 45 , - 11 15 , - 32 45 , - 31 45 .