Question

the decimal expansion of 2.305 is?​

Answer 1

SOLUTION

TO DETERMINE

The decimal expansion of 2.305

EVALUATION

Here the given number is 2.305

Now the decimal expansion is obtained as below

$\displaystyle \sf{2.305}$

$\displaystyle \sf{ = (2 \times 1) + \frac{3}{10} + \frac{0}{100} + \frac{5}{1000} }$

$\displaystyle \sf{ = 2 + 0.3 + 0.005}$

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Answer 2

Given:

2.305

To find:

Decimal expansion

Solution:

The decimal expansion of any number is to be represented in base 10.

Decimal expansion of 2.305:

$2.305$

$= > (2 \times {10}^{0}) + (3 \times {10}^{ - 1}) + 0 + (5 \times {10}^{ - 3})$

$= > 2 + 3 \times \dfrac{1}{10} + 0 + 5 \times \dfrac{1}{1000}$

$= > 2 + \dfrac{3}{10} + 0 + \dfrac{5}{1000}$

$=> 2 + 0.3 + 0 + 0.005$

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