Question

1. Fill in the blanks.
(i) The rational numbers
$\frac{ - 8}{3}$
and
$\frac{8}{3}$
are equidistant from _____.
(ii) The next rational number in the sequence
$\frac{ -15}{24}$
,
$\frac{20}{ - 32}$
,
$\frac{ - 25}{40}$

is ____.
(iii)
$\frac{ - 19}{5}$
lies between the integers ____ and ____.​
(Give with the explanation for all the questions).

Answer 1

Answer:

i) 0

ii) 30/-48

iii) -19/5 lies between -18/5 and -4

Step-by-step explanation:

i) as -8/3 and 8/3 are addictive inverse of each other

ii) by observing the pattern, we can see that the negative signs are coming alternative i.e. at one number it is at the numerator and then in the another number it comes in the denominator.......

and 15/24 + 5/8 gives us 20/32 and 20/32 + 5/8 gives us 25/40. therefore the next number will be 30/48

iii) as 19 comes between 18 and 20, the answer will be -18/5 and -20/5 and if -20/5 is written in the simplest form, it will be -4..

hope it helps..