Question

Please explain this step by step: Without actual division determine the number of digits after the decimal point when the following vulgar fractions are converted into the terminating decimals: 1753/250.​

Answer 1

Answer:

Given,

An number = 13 125

To Find,

The decimal expansion of the given number without actual division.

Solution,

We know that,

125 = 5 x 5 x 5 = 5³

So,

13 125 =

Now, Multiply ans divide the number by 2³.

Then,

13 13 23 13x8 103

Here 5³ x 2³ = (5x2)³= 10³ (By using the identity)

So,

13×8 103 104 1000 0.104