Question

without using long division so that the following rational number have a terminating decimal decimal expansion also find its decimal expansion 3 upon 8​

Answer 1

Answer:

Step-by-step explanation:

See analyse the denominator

if the denominator can be written in the form 2ᵃ5ᵇ where a and b can be any whole no.(0,1,2,3.....) it will have a terminating decimal, if not it will have a non-terminating recurring type decimal.

EGS. 1/64 here 64 is denominator that can be written as 2⁶5⁰ hence it would be an terminating decimal

2. 24/250 here 250 is denominator that can be written as 2¹5³ hence it would be an terminating decimal

3. 34/750  here 750 is denominator that can be written as 2¹3¹5³ hence it would be an non-terminating recurring decimal

Once you figure out the type of the decimal...the decimal expansion can be calculated with normal decimal expansion.