What exponent should you use to represent the power of 10 below?
$1,000,000=10^?$
Answer (1)
We are given the equation 1 , 000 , 000 = 1 0 ? .
Count the number of zeros in 1,000,000, which is 6.
Express 1,000,000 as 1 0 6 .
The exponent is 6 .
Explanation
Understanding the Problem We are given the equation 1 , 000 , 000 = 1 0 ? . Our goal is to find the exponent that makes this equation true. In other words, we want to express 1,000,000 as a power of 10.
Expressing as a Power of 10 Let's count the number of zeros in 1,000,000. We have 1,000,000, which has six zeros. This means that 1,000,000 can be written as 1 0 6 .
Finding the Exponent Therefore, the exponent we are looking for is 6. So, 1 , 000 , 000 = 1 0 6 .
Final Answer The exponent that should be used to represent the power of 10 is 6.
Examples
Understanding exponents is crucial in many real-world applications. For example, in computer science, data storage is often measured in powers of 2 (bytes, kilobytes, megabytes, etc.), which are related to powers of 10. Similarly, in finance, understanding exponential growth helps in calculating compound interest and investment returns. In everyday life, large numbers like population sizes or national debts are often expressed using exponents to make them more manageable and easier to understand.
