Question

After how many places the decimal expansion 23/(2^4×2^3 ) terminates.
a.3
b.4
c.7​

Answer 1

Answer:

At the denominator,

2^4 * 2^3 = 2^7

now,

• 23/2^7 (multiply and divide with 5^7)
• (23 * 5^7)/(2^7 * 5^7)
• (23 * 5^7)/(10^7)

Hence, the power of 10 at the denominator is 7, so the decimal will terminate after 7 decimals.

Hope you will find this useful :)

Answer 2

Answer:

Therefore, after 4 decimal places the decimal expansion of 23/(2⁴ X 5³) terminates.