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