Write down the decimal expansions of the following numbers which have terminating decimal expansions.

We know, =

Given rational number is

is terminating if

a) p and q are co-prime &

b) q is of the form of 2ⁿ 5^m where n and m are non-negative integers.

Firstly we check co-prime

29 = 29 × 1

343 = 7 × 7 × 7

29 and 343 have no common factors

Therefore, 29 and 343 are co-prime.

Now, we have to check that q is in the form of 2ⁿ5^m

343 = 7³

So, the denominator is not of the form 2ⁿ5^m

Thus, is a non-terminating repeating decimal.