Question

Write whether the rational number 29/343 will have a terminating decimal expansion or a non-terminating
repeating decimal expansion

Answer 1

We will have non terminating repeating decimal number

1.( Rule :when we divide by 3 or 7 we get non terminating repeating decimal expansion)

2.When we divide a non terminating repeating decimal by 3 or 7 we get again  a different non terminating repeating decimal

3.so in question  we have to divide 29 by 7 (3 times)

so we get non terminating repeating decimal expansion

Answer 2

$\huge\red {Hlo}$

1. The decimal expansion of a rational number always either terminates after finitely many digits or begins to repeat the same sequence of digits over and over.

2. Moreover,any repeating or terminating decimal represents a rational number.