What is the sum of (75 x 10^3) + (2.5 x 10^4)?

To find the sum of ( (75 \times 10^3) + (2.5 \times 10^4) ), it is important to express both terms using the same power of 10.

First, note that ( 2.5 \times 10^4 ) can be rewritten in terms of ( 10^3 ). Since ( 10^4 ) is equal to ( 10^3 \times 10 ), we can rewrite the second term:

[ 2.5 \times 10^4 = 2.5 \times 10 \times 10^3 = 25 \times 10^3 ]

Now, we can sum the two terms:

[ (75 \times 10^3) + (25 \times 10^3) = (75 + 25) \times 10^3 = 100 \times 10^3 ]

Therefore, the sum is ( 100 \times 10^3 ), which corresponds to the first choice. It effectively demonstrates how to combine numbers in scientific notation while maintaining consistent powers of ten.