Represent 29 6 on a number line.

Given the rational number is 29 6 The given rational number is a positive and improper fraction. Now, converting the improper fraction into mixed fraction we get: 29 6 = 4 5 6 So, it lies between 4 and 5 on the number line. We need to divide the unit distance between 4 and 5 in 6 parts as 6 is the denominator. Now, moving to the right side of 4 by 5 places we get: Hence, the representation of 29 6 on the number line is shown above.

Represent 29 6 on a number line.

Given the rational number is 29 6 The given rational number is a positive and improper fraction. Now, converting the improper fraction into mixed fraction we get: 29 6 = 4 5 6 So, it lies between 4 and 5 on the number line. We need to divide the unit distance between 4 and 5 in 6 parts as 6 is the denominator. Now, moving to the right side of 4 by 5 places we get: Hence, the representation of 29 6 on the number line is shown above.

Check whether the standard form of - 22 - 55 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 - 22 - 55 The numerator is - 22 and the denominator is - 55 After multiplying the numerator and denominator by - 1 we get 22 55 The rational number is not in simplest form. To reduce it to the lowest term, we need to find the HCF of numerator and denominator. Now, HCF ( 22 , 55 ) = 11 So, dividing the numerator and the denominator by 11 , we get 22 ÷ 11 55 ÷ 11 = 2 5 Hence, 2 5 is the standard form of - 22 - 55 Therefore, - 2 5 is not the standard form of - 22 - 55

Check whether the standard form of 3 15 is 1 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 3 15 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 ( 3 , 15 ) = 3 So, dividing the numerator and the denominator by 3 , we get 3 ÷ 3 15 ÷ 3 = 1 5 Hence, 1 5 is the standard form of 3 15 Therefore, 1 5 is the standard form of 3 15

The standard form of 12 - 42 is - 2 7

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 12 - 42 The numerator is 12 and the denominator is - 42 After multiplying the numerator and denominator by - 1 , we get - 12 42 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 ( 12 , 42 ) = 6 So, dividing the numerator and the denominator by 6 , we get - 12 ÷ 6 42 ÷ 6 = - 2 7 Therefore, - 2 7 is the standard form of 12 - 42

The standard form of - 20 - 45 is - 4 9

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 - 20 - 45 The numerator is - 20 and the denominator is - 45 After multiplying the numerator and denominator by - 1 , we get 20 45 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 ( 20 , 45 ) = 5 So, dividing the numerator and the denominator by 5 , we get 20 ÷ 5 45 ÷ 5 = 4 9 So, 4 9 is the standard form of - 20 - 45 Therefore, - 4 9 is not a standard form of - 20 - 45

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