Rewrite 1/1,000,000 as a power of 10.
Understand the Problem
The question is asking to express the fraction 1/1,000,000 as a power of 10, which means finding an exponent that represents this value in the form of 10 raised to a certain power.
Answer
The fraction $\frac{1}{1,000,000}$ can be expressed as $10^{-6}$.
Answer for screen readers
The answer is $10^{-6}$.
Steps to Solve
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Understand the fraction To express $\frac{1}{1,000,000}$ as a power of 10, we need to recognize that $1,000,000$ can be written in exponent form.
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Convert 1,000,000 to power of 10 $1,000,000$ can be expressed as $10^6$, because $10^6 = 1,000,000$.
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Write the fraction using power of 10 Now we rewrite the fraction: $$ \frac{1}{1,000,000} = \frac{1}{10^6} $$
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Use negative exponent By using the property of exponents that states $\frac{1}{x^n} = x^{-n}$, we can express this as: $$ \frac{1}{10^6} = 10^{-6} $$
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Final power of 10 representation Thus, we conclude that: $$ \frac{1}{1,000,000} = 10^{-6} $$
The answer is $10^{-6}$.
More Information
The fraction $\frac{1}{1,000,000}$ is equivalent to $10^{-6}$, which is commonly used in scientific notation and various applications in science and mathematics to simplify large and small numbers.
Tips
- Failing to recognize that $1,000,000$ is $10^6$.
- Confusing the signs of the exponent, forgetting that the exponent must be negative for a fraction less than one.
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