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)
1.292037 × 10
10
12,920,370,000
1.345763334 × 10
9
1.2740876635 × 10
10

Answer 1

To compare the given numbers in scientific notation:

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

Now, let's compare these numbers in scientific notation:

- **1.2740876635 × 10^{10}** (from 12,740,876,635)
- **1.345763334 × 10^{9}** (from 1,345,763,334)
- **1.292037 × 10^{10}** (from 12,920,370,000)

Now, convert \( 1.345763334 \times 10^{9} \) to a power of ten that matches the others:
- \( 1.345763334 \times 10^{9} = 0.1345763334 \times 10^{10} \)

Now we can compare:
- \( 1.2740876635 \times 10^{10} \)
- \( 0.1345763334 \times 10^{10} \)
- \( 1.292037 \times 10^{10} \)

Among the three values:
- **1.2740876635 × 10^{10}** is the smallest,
- **1.292037 × 10^{10}** is greater than 1.2740876635 and is less than **1.345763334 × 10^{9}** when adjusted.

Thus, the greatest value is:

**12,920,370,000** or **1.292037 × 10^{10}**.