Questions: Arrange the following values from smallest (top) to largest (bottom) 10^-5 10^-2 1 10^1 10^6

Arrange the following values from smallest (top) to largest (bottom)

10^-5 
10^-2 
1 
10^1 
10^6
Transcript text: Arrange the following values from smallest (top) to largest (bottom) \[ \begin{array}{l} \equiv 10^{-5} \\ \equiv 10^{1} \\ \equiv 1 \\ \equiv 10^{6} \\ \equiv 10^{-2} \end{array} \]
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Solution

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Solution Steps

Step 1: Convert Values to Decimal Form

First, we convert each of the given values to their decimal form for easier comparison:

  • \(10^{-5} = 0.00001\)
  • \(10^{1} = 10\)
  • \(1 = 1\)
  • \(10^{6} = 1,000,000\)
  • \(10^{-2} = 0.01\)
Step 2: Arrange Values in Ascending Order

Next, we arrange the decimal values from smallest to largest:

  1. \(10^{-5} = 0.00001\)
  2. \(10^{-2} = 0.01\)
  3. \(1 = 1\)
  4. \(10^{1} = 10\)
  5. \(10^{6} = 1,000,000\)

Final Answer

The values arranged from smallest to largest are:

\[ \begin{array}{l} 10^{-5} \\ 10^{-2} \\ 1 \\ 10^{1} \\ 10^{6} \end{array} \]

\(\boxed{\begin{array}{l} 10^{-5} \\ 10^{-2} \\ 1 \\ 10^{1} \\ 10^{6} \end{array}}\)

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