Question

a terminating non
of Without actually performing long division state wheather,
following in ratione no. will have
Terminating repeating decimal 1 , 12/15,,2 7/500. 3 11/5³*2³*7⁴
4. 13/5³*2¹¹
​

Answer 1

Answer:

IF EACH DENOMINATOR IS A FACTORS OF ONLY 2 AND 5 THEN THOSE FRACTIONS ARE TERMINATING

IF NOT THEY ARE NON TERMINATING

Step-by-step explanation:

$\frac{12}{15} = \frac{12}{5 \times 3} \: \: n.t \\ \frac{7}{500} = \frac{7}{5 \times 5 \times 5 \times 2 \times 2} \: \: \: t \\ \frac{11}{ {5}^{3} \times {2}^{3 } \times {7}^{4} } = non \: terminating \: because \: in \: denominator \: factors \: are \: not \: only \: 2 \: and \: 5$

$\frac{13}{ {5}^{3} \times {2}^{11} }$

because in denominator there are factors only 2 and 5

*T = Terminating

*N. t = Non Terminating