Compare Very Large and Very Small Numbers Quick Check

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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)
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

Answer 1

To compare the numbers \( 12,740,876,635 \), \( 1,345,763,334 \), and \( 12,920,370,000 \) in scientific notation, let's first convert each of them:

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

Now let's compare the scientific notation values:

• The first and third values are both in \( 10^{10} \) notation:

  • \( 1.2740876635 \times 10^{10} \)
  • \( 1.292037 \times 10^{10} \)

  Comparing the coefficients \( 1.2740876635 \) and \( 1.292037 \), we see that \( 1.292037 \) is greater.

• The second value is in \( 10^{9} \) notation:

  • \( 1.345763334 \times 10^{9} \)

This is much smaller than both \( 10^{10} \) numbers.

Therefore, the greatest value among these numbers is:

12,920,370,000 (or in scientific notation: \( 1.292037 \times 10^{10} \)).