Questions: Select equivalents of one-ten-thousandth.
1/10^4
10^-4
0.0001
1/10,000
Transcript text: Select equivalents of one-ten-thousandth.
$\frac{1}{10^{4}}$
$10^{-4}$
0.0001
$\frac{1}{10,000}$
Solution
Solution Steps
To find the equivalents of one-ten-thousandth, we need to identify the expressions that are equal to 10,0001. This can be done by converting each option to its decimal or fractional form and comparing it to 10,0001.
Step 1: Identify the Target Value
The target value is one-ten-thousandth, which can be expressed as:
10,0001=0.0001
Step 2: Convert Each Option to Decimal or Fractional Form
We need to convert each given option to its decimal or fractional form to compare it with 0.0001:
1041=0.0001
0.001
10−4=0.0001
10,000
0.0001
100
10,0001=0.0001
1031=0.001
Step 3: Compare Each Option with the Target Value
We compare each option with 0.0001:
1041=0.0001 (Equivalent)
0.001 (Not Equivalent)
10−4=0.0001 (Equivalent)
10,000 (Not Equivalent)
0.0001 (Equivalent)
100 (Not Equivalent)
10,0001=0.0001 (Equivalent)
1031=0.001 (Not Equivalent)
Final Answer
The equivalents of one-ten-thousandth are:
1041,10−4,0.0001,10,0001