Question

find the decimal expansion of the following rational numbers. also write which type of decimal expansion do they have. 1)25/16. (2)15/11. (3)67/13.​

Answer 1

Answer:

1) 25/16 = 1.5625 (terminating decimal).

★★★ terminating decimal means a decimal which has an end, i.e., which decimal has a limited or countable number of digits at the decimal part.

If the denominator of a fraction is an exponent of 2 or 5 or the both 2 and 5, then the decimal expansion of the fraction is a terminating decimal.

Here, denominator 16 = 2^4 (exponent of 2).

Hence, 25/16 has a terminating decimal expansion.

2) have non terminating recurring decimal (recurring means repeating).

3) have non-terminating non-recurring decimal.

Answer 2

Step-by-step explanation:

1.5625 is your answer it is a terminating decimal expansion