Question

state whether the decimal expansion of the rational number 79 by by 2 to the power 3 into 5 to the power 4 will have a terminating decimal expansion if so after how many places of decimal will it terminate​

Answer 1

Step-by-step explanation:

Solution: Let x = p/q be a rational number, such that the prime factorization of q is of the form 2m5n, where n, m are non-negative integers. Then x has a decimal expansion which terminates. Example: Since the denominator is of the form 2m x 5n, the rational number has a terminating decimal expansion. mark brilliant