Question

kithout dividing esfuess 33
(2) X(5)​

Answer 1

Answer:

what is kithout

Answer 2

Answer:

The decimal expansion of the rational number  \frac{33}{2^2\cdot 5}22⋅533  will terminate after 2 places.

Step-by-step explanation:

To find : The decimal expansion of the rational number  \frac{33}{2^2\cdot 5}22⋅533  will terminate after?

Solution :

The rational number is \dfrac{33}{2^2\cdot 5}22⋅533

Multiply and divide by 5,

\dfrac{33}{2^2\cdot 5}= \dfrac{33\times5}{2^2\cdot 5^2}22⋅533=22⋅5233×5

\dfrac{33}{2^2\cdot 5}= \dfrac{165}{(2\times 5)^2}22⋅533=(2×5)2165

\dfrac{33}{2^2\cdot 5}= \dfrac{165}{10^2}22⋅533=102165

\dfrac{33}{2^2\cdot 5}=1.6522⋅533=1.65

Therefore, the decimal expansion of the rational number  \frac{33}{2^2\cdot 5}22⋅533  will terminate after 2 places.

The decimal expansion of the rational number 33/22.5 will terminates after .