Question

After how many decimal places will the decimal expansion of 23/2⁴×5³terminate?

Answer 1

Answer:

4 decimal places

Step-by-step explanation:

1. First we have to simplify the denominator,which is 2^4 × 5^3
2. The denominator can be written as 2³×5³×2
3. 2³×5³ is nothing but 10³
4. so now the fraction becomes 23 ÷ 10³×2
5. divide 23 by 2 now and we will get 11.5
6. finally the expression becomes 11.5 ÷ 10³
7. Now just move the decimal point 3 times to the left and get 0.0115

Answer is 4