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

12,920,370,000
12,920,370,000

1.292037×1010
1.292037 times 10 superscript 10 baseline

1.345763334×109
1.345763334 times 10 superscript 9 baseline

1.2740876635×10^10

Answer 1

To compare the given numbers using scientific notation:

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

Now, we can compare them:

• 12,740,876,635 (1.2740876635 × 10^10) is approximately \( 1.274 \times 10^{10} \).
• 1,345,763,334 (1.345763334 × 10^9) is approximately \( 0.1345763334 \times 10^{10} \) when adjusted to the same exponent.
• 12,920,370,000 (1.292037 × 10^10) is approximately \( 1.292 \times 10^{10} \).

Now, comparing the values:

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

The largest value is 12,920,370,000, which corresponds to \( 1.292037 \times 10^{10} \).

Thus, the correct response is:

12,920,370,000.