To compare the given numbers in scientific notation, we first convert each number.
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123,893: \[ 123,893 = 1.23893 \times 10^5 \]
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31,892: \[ 31,892 = 3.1892 \times 10^4 \]
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12,786: \[ 12,786 = 1.2786 \times 10^4 \]
Now we have:
- \( 123,893 = 1.23893 \times 10^5 \)
- \( 31,892 = 3.1892 \times 10^4 \)
- \( 12,786 = 1.2786 \times 10^4 \)
Next, we will compare the numbers by examining their scientific notation:
Both \( 31,892 \) and \( 12,786 \) have a power of \( 10^4 \). To compare the coefficients:
- Coefficient for \( 31,892 \): \( 3.1892 \)
- Coefficient for \( 12,786 \): \( 1.2786 \)
Since \( 1.2786 < 3.1892 \), we can conclude that \( 12,786 < 31,892 \).
Next, we compare \( 31,892 \) with \( 123,893 \):
- Since \( 123,893 \) has a power of \( 10^5 \), it is larger than any number with \( 10^4 \).
Thus, the least value among the three numbers is \( 12,786 \).
In scientific notation, \( 12,786 \) is written as: \[ \boxed{1.2786 \times 10^4} \]
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