Use scientific notation to compare these numbers: 12,740,876,635; 1,345,763,334; and 12,920,370,000, which has the greatest value?(1 point)

Question

Responses

Answer 1

To compare the numbers using scientific notation, we convert each number:

1. 12,740,876,635 → \(1.2740876635 \times 10^{10}\)
2. 1,345,763,334 → \(1.345763334 \times 10^{9}\)
3. 12,920,370,000 → \(1.292037 \times 10^{10}\)

Now, let's compare them:

• \(1.2740876635 \times 10^{10}\) (12,740,876,635)
• \(1.345763334 \times 10^{9}\) (1,345,763,334) is clearly much smaller because it has a smaller exponent.
• \(1.292037 \times 10^{10}\) (12,920,370,000)

Now comparing the two with the same exponent of \(10^{10}\):

• Between \(1.2740876635\) and \(1.292037\), \(1.292037\) is greater.

Thus, the largest number overall is:

12,920,370,000.

In conclusion, 12,920,370,000 has the greatest value.