Question

Express as a rational number:

a) 5. 4(barred)
b) 0.625
c) 0.531(barred)

Answer 1

Answer:

part à

5.4 barred

Let x be = 5.4 barred ________equation 1

on multiplying both sides by 10 we get

10x = 54.4 barred_________ equation 2

On subtracting eq 1 from eq 2 we get

10x-x = 54.4 bar- 5.4 bar

9x=49

Now x =49/9

part b

0.625

=625/1000

=25/40

=5/8

part ç

0.531

Let x be =0.531 barred ____1

On multiplying both sides by 1000 we get

1000x = 531.531 barred ____2

On subtracting eq 1 from eq 2 we get

1000x - x = 531.531barred - 0.531

999x = 531

x = 531/999

x = 59/111