Question

Without actual division check whether 21/750 has terminating or non terminating recurring decimal expansion if terminating find the decimal without actual division

Answer 1

Answer:

Since, the factors of the denominator i.e. 750 contain 2, 3 and 5 but in the numerator also 3 and 7 are present thus we are left with 7/2^ × 5^3 . Now, since the denominator only contains 2 and 5 as its factors therefore, the number has a terminating decimal expansion.