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 answer

To compare the numbers 12,740,876,635; 1,345,763,334; and 12,920,370,000 using scientific notation, we can convert each number.

  1. 12,740,876,635:

    • In scientific notation: \( 1.2740876635 \times 10^{10} \)
  2. 1,345,763,334:

    • In scientific notation: \( 1.345763334 \times 10^{9} \)
  3. 12,920,370,000:

    • In scientific notation: \( 1.2920370 \times 10^{10} \)

Now, let's compare these numbers.

  • \( 1.2740876635 \times 10^{10} \) (for 12,740,876,635) is approximately \( 1.27 \times 10^{10} \).
  • \( 1.345763334 \times 10^{9} \) is approximately \( 0.1345763334 \times 10^{10} \).
  • \( 1.2920370 \times 10^{10} \) (for 12,920,370,000) is approximately \( 1.29 \times 10^{10} \).

Now we compare:

  • \( 1.2740876635 \times 10^{10} \) (12,740,876,635)
  • \( 0.1345763334 \times 10^{10} \) (1,345,763,334)
  • \( 1.2920370 \times 10^{10} \) (12,920,370,000)

From this comparison:

  • 12,920,370,000 (\( 1.2920370 \times 10^{10} \)) is the greatest value.
  • 12,740,876,635 (\( 1.2740876635 \times 10^{10} \)) is the second greatest.
  • 1,345,763,334 (\( 1.345763334 \times 10^{9} \)) has the least value.

Thus, 12,920,370,000 has the greatest value.