Question

find the termminating decimal expiation 17/8 without long division​

Answer 1

Answer:

2.125

Step-by-step explanation:

We need to see prime factorisation of denominator. We have 8 in denominator which is 2^3 . So we need to make ten or multiple of ten in the denominator so that we can get the answer in terminating decimal form. In order to make 2^3(=8) in ten or multiple of ten we have to multiple it by 5^3 =(125).

To balance numerator and denominator , we have to multiple numerator and denominator by 125. So,     $\frac{17}{8} = (17*125)/ (8*125 )= 2125/1000= 2.125$