Question

Arrange -5/7,7/12,-2/3and11/8 in the ascending order of their magnitudes. Also, find the difference between the largest and the smallest of the rational numbers. Express this difference as a decimal correct to one decimal place

Answer 1

Answer:

Explanation:

1st number = - 5/9 = - 5/9 ×4/4 = - 20/36

2nd number =7/12 =7/12 ×3/3 =21/36

3rd number = - 2/3 = - 2/3×12/12 = - 24/36

4th number = 11/18 = 11/18 ×2/2 = 22/36.

Thus the ascending order of magnitude will be

-20/36 , 21/36, 22/36, -24/36

= -5/9, 7/12, 11/18, - 2/3

The largest rational number = 22/36

The smallest rational number = - 24/36

Thus, the difference between the largest and smallest of rational numbers

= 22/36-( - 24/36)

= (22+24)/36 = 46/36

= 1.2