Use scientific notation to determine which of these numbers is greater: 34,835,760 or 43,835,760. Write your answer in scientific notation, expressed to the exact decimal place. (1 point)

1 answer

To compare the two numbers 34,835,760 and 43,835,760 in scientific notation, we first convert each number to scientific notation:

  1. 34,835,760 can be expressed in scientific notation as: \[ 3.483576 \times 10^7 \]

  2. 43,835,760 can be expressed in scientific notation as: \[ 4.383576 \times 10^7 \]

Now, we compare the coefficients (3.483576 and 4.383576) since both numbers have the same exponent (10^7):

  • \(3.483576 < 4.383576\)

Therefore, 43,835,760 is greater than 34,835,760.

In summary, the larger number is:

\[ 4.383576 \times 10^7 \]