Question

Write the decimal expansion of the following rational numbers without actual division.(i) 35/50 (ii) 21/25 (iii) 7/8

Answer 1

For doing this first you should know that

25/100=0.25

1/100=0.01

Now,

We try to convert the fractions into the above form to get the decimals directly,

So,

i)35/50

We multiply the numerator and denominator by 2

We get,

70/100

=0.7

ii)

21/25

We multiply the numerator and denominator by 4

We get,

84/100

=0.84

iii)

Now, 100 is not divisible by 8 but 1000 is divisible by 8

So,

We multiply numerator and denominator by 125

We get,

875/1000

=0.875

Thus we can get the expansion without doing any actual division