Question

Write the decimal expansion of 33/2²*5 without actual division

Answer 1

Answer:33/4 *5

=8.25 *5

=41.25

Answer 2

The required decimal expansion is $\frac{33}{2^2\times 5}=1.65$

Step-by-step explanation:

Given : Expression $\frac{33}{2^2\times 5}$

To find : Write the decimal expansion of expression without actual division?

Solution :

Expression $\frac{33}{2^2\times 5}$

Multiply and divide numerator and denominator by 5,

$\frac{33}{2^2\times 5}=\frac{33\times 5}{2^2\times 5\times 5}$

$\frac{33}{2^2\times 5}=\frac{165}{2^2\times 5^2}$

$\frac{33}{2^2\times 5}=\frac{165}{(2\times5)^2}$

$\frac{33}{2^2\times 5}=\frac{165}{(10)^2}$

$\frac{33}{2^2\times 5}=\frac{165}{100}$

$\frac{33}{2^2\times 5}=1.65$

Therefore, the required decimal expansion is $\frac{33}{2^2\times 5}=1.65$

#Learn more

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