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?

A. 1.292037 x 10^10
B. 1.2740876635 x 10^10
C. 1.345763334 x 10^9

Answer 1

To compare the numbers using scientific notation:

1. **12,740,876,635** can be represented as:
\[
1.2740876635 \times 10^{10}
\]

2. **1,345,763,334** can be represented as:
\[
1.345763334 \times 10^9
\]
To make the comparison easier, convert this to the same power of ten:
\[
1.345763334 \times 10^9 = 0.1345763334 \times 10^{10}
\]

3. **12,920,370,000** can be represented as:
\[
1.292037 \times 10^{10}
\]

Now comparing the scientific notations:

- For **12,740,876,635**: \( 1.2740876635 \times 10^{10} \)
- For **1,345,763,334**: \( 0.1345763334 \times 10^{10} \)
- For **12,920,370,000**: \( 1.292037 \times 10^{10} \)

Now we can see that:
- \( 1.2740876635 \times 10^{10} \) (from 12,740,876,635)
- \( 0.1345763334 \times 10^{10} \) (from 1,345,763,334, which is much smaller)
- \( 1.292037 \times 10^{10} \) (from 12,920,370,000)

To find the greatest, we can simply compare the coefficients of those quantities with the same power of ten:

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

Clearly, \(1.292037\) is the largest.

Thus, the number with the greatest value is:

**12,920,370,000** (which is represented by **A. 1.292037 x 10^{10}**)