Question

the decimal expansion of the rational number 79 by 2^3*5^4 will terminate after how many places of decimal ?

Answer 1

After 4 places

Because the degree of the denominator is 4

Answer 2

Answer: 4

Step-by-step explanation:

Given that:

⇒    $\dfrac{79}{2^{3} *5^4}$

⇒   $\dfrac{79}{2^3*5^4}$×$\dfrac{2}{2}$

⇒   $\dfrac{158}{2^4*5^4}$

⇒   $\dfrac{158}{10^4}$

=    $0.0158$

Hence, the decimal expansion of  the rational number will terminate after 4 places of decimal.