Rogers Warner
08/19/2024 · Junior High School
Order \( 4060 \times 10^{-3}, 40.6 \times 10^{-3} \), and \( 0.406 \times 10^{2} \) from least to greatest by using
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Step-by-step Solution
To order the numbers \( 4060 \times 10^{-3} \), \( 40.6 \times 10^{-3} \), and \( 0.406 \times 10^{2} \), we can convert them to a common format for easier comparison.
1. **Convert \( 4060 \times 10^{-3} \)**:
\[
4060 \times 10^{-3} = 4060 / 1000 = 4.060
\]
2. **Convert \( 40.6 \times 10^{-3} \)**:
\[
40.6 \times 10^{-3} = 40.6 / 1000 = 0.0406
\]
3. **Convert \( 0.406 \times 10^{2} \)**:
\[
0.406 \times 10^{2} = 0.406 \times 100 = 40.6
\]
Now we have the following values:
- \( 4060 \times 10^{-3} = 4.060 \)
- \( 40.6 \times 10^{-3} = 0.0406 \)
- \( 0.406 \times 10^{2} = 40.6 \)
Now we can order these values from least to greatest:
- \( 0.0406 \) (which is \( 40.6 \times 10^{-3} \))
- \( 4.060 \) (which is \( 4060 \times 10^{-3} \))
- \( 40.6 \) (which is \( 0.406 \times 10^{2} \))
Thus, the order from least to greatest is:
\[
40.6 \times 10^{-3}, \quad 4060 \times 10^{-3}, \quad 0.406 \times 10^{2}
\]
Quick Answer
The order from least to greatest is: \( 40.6 \times 10^{-3}, 4060 \times 10^{-3}, 0.406 \times 10^{2} \).
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