Question

the decimal representation of 43 by 2 ^4 into 5 will terminate after

Answer 1

Answer:

43/2^4 5 ^3= 43 ×5/2^4 5 ^3 ×5

43 ×5/2^4 5 ^4

43 ×5/(2×5)^4

43 ×5/(10)^4

215/10000

0.0215

4 places of decimal

Answer 2

$\frac{43}{ {2}^{4} } = \frac{43}{ {2}^{4} \times {5}^{0} }$

The decimal termination is given by :

k (2,5)

Where k is the maximum power of 2 or 5.

Here k = 4 .

Hence it will terminate after 4 decimal digits.