Question

the decimal expansion of the rational number 33/2².5 will terminate after?​

Answer 1

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

Step-by-step explanation:

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

Solution :

The rational number is $\dfrac{33}{2^2\cdot 5}$

Multiply and divide by 5,

$\dfrac{33}{2^2\cdot 5}= \dfrac{33\times5}{2^2\cdot 5^2}$

$\dfrac{33}{2^2\cdot 5}= \dfrac{165}{(2\times 5)^2}$

$\dfrac{33}{2^2\cdot 5}= \dfrac{165}{10^2}$

$\dfrac{33}{2^2\cdot 5}=1.65$

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

#Learn more

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

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Answer 2

Answer:

two decimal place

Step-by-step explanation:

33÷2²×5=

Multiply by 5 and divide by 5

=33×5÷2²×5

=165÷(2×5)²

=165÷100

=1.65