Question

If k is an integer, and if $0.02468\times {10}^k$ is greater than 10,000, what is the least possible value of k?

• A. 7
• B. 4
• C. 6
• D. 5

Answer 1

The correct option is C 6

Multiplying 0.02468 by a positive power of 10 will shift the decimal point to the right. Simply shift the decimal point to the right until the result is greater than 10,000. Keep track of how many times you shift the decimal point. Shifting the decimal point 5 times results in 2,468. This is still less than 10,000. Shifting one more place yields 24,680, which is greater than 10,000.