Question

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) Responses 12,920,370,000 12,920,370,000 1.345763334×109 1.345763334 times 10 superscript 9 baseline 1.292037×1010 1.292037 times 10 superscript 10 baseline 1.2740876635×1010

Answer 1

To compare the numbers 12,740,876,635; 1,345,763,334; and 12,920,370,000 using scientific notation, let's convert each number into that format.

1. **12,740,876,635** in scientific notation is:
\[
1.2740876635 \times 10^{10}
\]

2. **1,345,763,334** in scientific notation is:
\[
1.345763334 \times 10^{9}
\]

3. **12,920,370,000** in scientific notation is:
\[
1.292037 \times 10^{10}
\]

Now, we can compare the scientific notation values:

- **1.2740876635 × 10^10** (for 12,740,876,635)
- **1.345763334 × 10^9** (for 1,345,763,334) – Notice that because the exponent is 9, we can express it as \(0.1345763334 \times 10^{10}\) for a direct comparison.
- **1.292037 × 10^10** (for 12,920,370,000)

Now, compare the values with the same exponent \(10^{10}\):

- **1.2740876635** (from 12,740,876,635)
- **0.1345763334** (from 1,345,763,334)
- **1.292037** (from 12,920,370,000)

Clearly, \(1.2740876635 < 1.292037\) and \(0.1345763334\) is much smaller than both of those.

Thus, the number with the greatest value is:

**12,920,370,000**