Fill in the blank to compare the two values.

5×10^8 Choose... 8×^105

1 answer

To compare the two values \( 5 \times 10^8 \) and \( 8 \times 10^5 \), we can convert both values into the same power of ten for easier comparison.

  1. Convert \( 8 \times 10^5 \) to a similar power of ten as \( 5 \times 10^8 \):

    \( 8 \times 10^5 = 8 \times 10^5 \) can be rewritten with the same exponent:

    \[ 8 \times 10^5 = 0.08 \times 10^8 \]

  2. Now we compare:

    \[ 5 \times 10^8 \quad \text{and} \quad 0.08 \times 10^8 \]

Since \( 5 > 0.08 \), we conclude that:

\[ 5 \times 10^8 > 8 \times 10^5 \]

So the filled statement would be:

5×10^8 is greater than 8×10^5.