Question

without actually performing the long division state whether the following rational number will have a terminating decimal expansion of 15/800​

Answer 1

Step-by-step explanation:

we know that if denominator of rational number has in only 2 and 5 as factor and either 2 only and 5 only can also,then decimal expansion of that rational number is terminating

so ,we will use this property to find out wheater

15/800 is rational or not

let's do so,

if we see the factors of 800 ,then it is in factor of 2 and 5 ,so we can say that decimal expansion of when 15is divided by 800 is terminating

you can negelect my long statement, because I also know that long statement can be afraid by student but it is necessary okay ,I hope you will understand