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) Responses 12,920,370,000 12,920,370,000 1.2740876635×1010 1.2740876635 times 10 superscript 10 baseline 1.292037×1010 1.292037 times 10 superscript 10 baseline 1.345763334×109

1 answer

To compare the numbers using scientific notation, we will convert each number into this format.

  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: \( 1.292037 \times 10^{10} \)

Now, we can compare the numbers based on their scientific notation forms.

  • \( 1.2740876635 \times 10^{10} \) (12,740,876,635)
  • \( 1.345763334 \times 10^{9} \) (1,345,763,334)
  • \( 1.292037 \times 10^{10} \) (12,920,370,000)

When comparing these numbers:

  1. The first two numbers are both multiplied by \( 10^{10} \), so we compare their coefficients:

    • \( 1.2740876635 < 1.292037 \)
    • Thus, \( 12,740,876,635 < 12,920,370,000 \).
  2. The second number has \( 10^{9} \), and since \( 1.345763334 \times 10^{9} = 0.1345763334 \times 10^{10} \), we can also compare:

    • \( 0.1345763334 \times 10^{10} < 1.2740876635 \times 10^{10} \)
    • So, \( 1,345,763,334 < 12,740,876,635 \).

Thus, the order from least to greatest is:

  1. \( 1,345,763,334 \)
  2. \( 12,740,876,635 \)
  3. \( 12,920,370,000 \)

Therefore, the number with the greatest value is: 12,920,370,000

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