Use scientific notation to determinate which of these numbers is greater 34,835,760 or 43,835,760 write your answer in scientific notation expresses to the exact decimal place

1 answer

To compare the two numbers \( 34,835,760 \) and \( 43,835,760 \) using scientific notation, we first convert both numbers into scientific notation.

  1. Convert \( 34,835,760 \) to scientific notation: \[ 34,835,760 = 3.483576 \times 10^7 \]

  2. Convert \( 43,835,760 \) to scientific notation: \[ 43,835,760 = 4.383576 \times 10^7 \]

Now we can compare the two numbers in scientific notation:

  • \( 3.483576 \times 10^7 \)
  • \( 4.383576 \times 10^7 \)

Since both numbers are multiplied by \( 10^7 \), we can directly compare the coefficients:

  • \( 3.483576 < 4.383576 \)

Thus, \( 4.383576 \times 10^7 \) (which is \( 43,835,760 \)) is greater than \( 3.483576 \times 10^7 \) (which is \( 34,835,760 \)).

Conclusion:

The greater number is \( 43,835,760 \), and in scientific notation, it is \[ \mathbf{4.383576 \times 10^7} \]