Question

is it correct to say that the number 343/2×7×5^2 had non terminating and repeating decimal expansion? (pls explain too)​

Answer 1

Answer:

It is non terminating and repeating decimal. for a no. To end with zero it should be in the form of2^n and 5^m but in this digit 3 n^2is. Also included therfore it is non terminating but repeating decimal expansion .

Answer 2

Answer:

No. $\frac{343}{2*7*5^{2} }$ has a terminating expansion. The value is 0.98.

Step-by-step explanation:

Here,

p = 343

q = $2*7*5^{2}$

Note than the fraction $\frac{p}{q}$ is not in its lowest form.

Step 1: Divide 343 by 7. This gives 49.

Step 2: Express $\frac{p}{q}$ as $\frac{49}{2^{1} *5^{2} }$

Hence, it terminates as the denominator can be expressed as $2^{m} *5^{n}$.