Question

163/150 will have terminating decimal expansion.state true or false.justify it

Answer 1

Answer:

False

163/150

163/2*5^2*3

scince the denominator is not in the form 2m x 5n so it's not a terminating decimal expansion

Answer 2

Answer:

163/150 will have terminating decimal expansion. The given statement is false.

Step-by-step explanation:

Terminating decimal numbers exist decimals that contain a finite number of decimal places. In other terms, these numbers end after a fixed number of digits after the decimal point.

For instance, 0.87, 82.25, 9.527, 224.9803, etc.

Given:

163/150

To find:

163/150 will have terminating decimal expansion is true or false.

Let, 163/150

$163/150 = 163/2*5^2*3$

We know if any terminating decimal number symbolizes in fraction then its denominator will be in the formation of $2^{m} *5^{n}$. m > n then we get the " m " number of decimal digits. n > m then we get the " n " number of decimal digits. 163/150 will never contain a terminating decimal expansion.

Therefore, the given statement is false.

#SPJ2