Use scientific notation to compare these numbers: 12,740,876,635; 1,345,763,334; and 12,920,370,000, which

Question

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}.