Question

Without actual division determine which of the following rational numbers have a terminating decimal representation , 5/50 explain terminaton​

Answer 1

Answer:

The rational not having denominator as multiple of 2 m×5 n will be non terminating.(1) 167

= 2×2×2×27− denominator is multiple of 2 m ×5 n

hence terminating.(2) 12523

= 5×5×523

-- denominator is multiple of 2 m×5 n

hence terminating.(3) 149

= 7×29

-- denominator is not multiple of 2 m×5 n

hence non-terminating(4) 4532

= 3×3×532

-- denominator is not multiple of 2 m×5 n

hence non-terminating.(5) 5043

= 5×5×243

-- denominator is multiple of 2 m×5 n

hence terminating(6) 4017

= 2×2×2×517

-- denominator is multiple of 2 m×5 n

hence terminating.(7) 7561

-- denominator is not multiple of 2 m×5 n

hence non-terminating.(8) 250123

= 5×5×5×2123

-- denominator is multiple of 2 m×5 n

hence terminating.(i), (ii), (v), (vi) and (viii) will have terminating decimal.