Question

Find the multiplicative inverse of the each of the following rational numbers.

9 b. -7 c. 12/5 d. -7/9 e. -3/-5 f. 2/3 x 9/4 g. -2 x -3/5

h. 0/3

Answer 1

1/9
-1/7
5/12
-9/7
5/3
3/2×4/9
-1/2×-5/3
h part does not have any multiplicative inverse has any number multiplied by zero is equal to zero

Answer 2

multiplicate inverse means numerator becomes denominator and denominator becomes numerator.

a.

9 = 9/1   so we should write 1/9

for b.

-7 = -7/1 so we get -1/7 . Minus will stay there.

For multiplicate inverse signs will not change

Now c.

12/5 so we go = 5/12

d.

-7/9 = -9/7

e.

-3/-5 = 5/3 (I cut both signs. because in division method two minus means plus. same for multiplication)

f. 2/3  x 9/4 = 3/2 x 4/9 = 2/3 (calculated)

g. -2 x -3/5 = 6/5 inverse = 5/6 (sign cut in multiplication as I said before)

h. 0/3 = 3/0 = 0