Question

decimal expansion of rational number 97/50 will terminate after.​

Answer 1

Answer:

four decimal places

Step-by-step explanation:

four decimal places

Answer 2

Answer:

Decimal expansion of rational number  $\frac{97}{50}$will terminate after 2 places of decimals.

Step-by-step explanation:

Given fraction is $\frac{97}{50}$

To find,

The number of places the decimal expansion of the given rational number terminates

Recall the concept

A rational number can be expressed as a terminating decimal if the denominator of the rational number is of the form $2^mX5^n$

Solution:

Given rational numbers is $\frac{97}{50}$

The denominator of the rational number is 50

50 = 2×5², which is of the form  $2^mX5^n$

∴The rational number  $\frac{97}{50}$ is a terminating decimal

On dividing 97 by 50 we get

$\frac{97}{50}$ = 1.94

∴Decimal expansion of rational number  $\frac{97}{50}$will terminate after 2 places of decimals.

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