Question

without actuall division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form​

Answer 1

Answer:

i) 0.115

ii) 0.192

v) 0.009375

vi) 0.00608

Step-by-step explanation:

Terminating decimals are decimals whose values stop at a certain digit. They are not recurring in nature. Thus, the results of the rational numbers above are terminating decimals and are solved blow.

$i) \: \: \frac{23}{ {2}^{3} \times {5}^{2} } = \frac{23}{8 \times 25} = \frac{23}{200} = 0.115$

$ii) \: \: \: \frac{24}{125} = 0.192$

$v) \: \: \frac{15}{1600} = 0.009375$

$vi) \: \: \frac{19}{3125} = 0.00608$