Questions: Select equivalents of one-ten-thousandth. 1/10^4 10^-4 0.0001 1/10,000

Solution Steps

To find the equivalents of one-ten-thousandth, we need to identify the expressions that are equal to $\frac{1}{10,000}$. This can be done by converting each option to its decimal or fractional form and comparing it to $\frac{1}{10,000}$.

The target value is one-ten-thousandth, which can be expressed as: $$\frac{1}{10,000} = 0.0001$$

We need to convert each given option to its decimal or fractional form to compare it with $0.0001$:

• $\frac{1}{10^{4}} = 0.0001$
• $0.001$
• $10^{-4} = 0.0001$
• $10,000$
• $0.0001$
• $100$
• $\frac{1}{10,000} = 0.0001$
• $\frac{1}{10^{3}} = 0.001$

We compare each option with $0.0001$:

• $\frac{1}{10^{4}} = 0.0001$ (Equivalent)
• $0.001$ (Not Equivalent)
• $10^{-4} = 0.0001$ (Equivalent)
• $10,000$ (Not Equivalent)
• $0.0001$ (Equivalent)
• $100$ (Not Equivalent)
• $\frac{1}{10,000} = 0.0001$ (Equivalent)
• $\frac{1}{10^{3}} = 0.001$ (Not Equivalent)

Final Answer