Use scientific notation to determine which of these numbers has the least value: 123,893, 31,892, or 12,786. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)

Answer 1

To compare the numbers 123,893, 31,892, and 12,786 using scientific notation, we first need to convert each of them into scientific notation.

1. 123,893 can be expressed in scientific notation as: \[ 1.23893 \times 10^5 \]

2. 31,892 can be expressed in scientific notation as: \[ 3.1892 \times 10^4 \]

3. 12,786 can be expressed in scientific notation as: \[ 1.2786 \times 10^4 \]

Now we will compare these numbers:

• \(1.23893 \times 10^5\) (which is \(123,893\))
• \(3.1892 \times 10^4\) (which is \(31,892\))
• \(1.2786 \times 10^4\) (which is \(12,786\))

Next, convert all of them to the same exponent to make comparison easier. We can express the numbers with the exponent \(10^4\):

• \(1.23893 \times 10^5 = 12.3893 \times 10^4\)
• \(3.1892 \times 10^4 = 3.1892 \times 10^4\)
• \(1.2786 \times 10^4 = 1.2786 \times 10^4\)

Now we can compare their coefficients:

• \(12.3893\)
• \(3.1892\)
• \(1.2786\)

The smallest of these is \(1.2786\), which corresponds to \(12,786\).

Therefore, the number with the least value among the three given numbers is:

\[ 1.2786 \times 10^4 \]

Answer 2

simplify

Answer 3

To simplify the conclusion, we need to determine which number has the least value among 123,893, 31,892, and 12,786 using scientific notation.

We have:

1. 123,893: \(1.23893 \times 10^5\)
2. 31,892: \(3.1892 \times 10^4\)
3. 12,786: \(1.2786 \times 10^4\)

Now we can briefly compare their coefficients while keeping them in a common format. Converting all numbers to values of \(10^4\):

• 123,893: \(12.3893 \times 10^4\)
• 31,892: \(3.1892 \times 10^4\)
• 12,786: \(1.2786 \times 10^4\)

Among these, the coefficient with the smallest value is \(1.2786 \times 10^4\), representing \(12,786\).

Conclusion

Thus, the number with the least value is: \[ 1.2786 \times 10^4 \]