Check whether the standard form of - 14 35 is 2 5 or not.

We know a rational number can be expressed in p q form when q ≠ 0 To express a rational number in its standard form, ensure that a ) The denominator is not expressed as a negative number. If it is, multiply both the numerator and denominator by - 1 b ) The HCF of numerator and denominator is 1 . If it is not, divide both the numerator and denominator by the HCF to reduce to the lowest terms. Given rational number is - 14 35 The numerator is - 14 and the denominator is 35 The rational number is not in the simplest form. To reduce it to the lowest term we need to find the HCF of numerator and denominator. Now, HCF ( 14 , 35 ) = 7 So, dividing the numerator and the denominator by 7 we get, - 14 ÷ 7 35 ÷ 7 = - 2 5 Hence, - 2 5 is the standard form of - 14 35 Therefore, 2 5 is not the standard form of - 14 35

Check whether the absolute value of - 5 11 is 5 11 or not.

If any rational number is in the form of - p q or p - q , where p and q are positive integers. Its absolute value is its positive numerical value denoted by writing the rational number within modulus. Given the rational number is - 5 11 . The rational number is in - p q form. Therefore, absolute value of - p q = - p q = p q . Now, the absolute value of - 5 11 is 5 11 = 5 11 Hence, the absolute value of - 5 11 is 5 11

Check whether the absolute value of - ( - 15 21 ) is 15 21 or not.

If any rational number is in the form of - p q or p - q where p and q are positive integers, its absolute value is its positive numerical value denoted by writing the rational number within modulus. Given rational number is - - 15 21 The rational number is in - p q form. Therefore, absolute value of - p q = - p q = p q Now, the absolute value of - - 15 21 = - - 15 21 = 15 21 = 15 21 Thus, 15 21 is the absolute value of - - 15 21

Check whether the absolute value of - 21 - 19 is 21 19 or not.

The absolute value of a rational number is its positive numerical value denoted by writing the rational number within modulus. Given, - 21 - 19 We know that the absolute value of - p - q = - p - q = p q Now, the absolute value of - 21 - 19 = 21 19 Hence, 21 19 is the absolute value of - 21 - 19

Check whether the absolute value of - - 5 7 is - 5 7 or not.

If any rational number is in form of - p q or p - q , where p and q are positive integers, its absolute value is its positive numerical value denoted by writing the rational number within modulus. Given the rational number is - - 5 7 The rational number is in - p q form. Therefore, absolute value of - p q = - p q = p q Now, the absolute value of - - 5 7 = - 5 7 Hence, - 5 7 is the absolute value of - - 5 7