What is the result of (75 x 10^3) + (25 x 10^4)?

What is the result of (75 x 10^3) + (25 x 10^4)?

• A. 30 x 10^4
• B. 32.5 x 10^4
• C. 35 x 10^4
• D. 37.5 x 10^4

Answer: (B)

To solve the expression (75 x 10^3) + (25 x 10^4), we first need to express both terms with the same exponent as it simplifies the addition process. The term (25 x 10^4) can be rewritten in terms of 10^3 by converting it as follows: 25 x 10^4 = 25 x (10^3 x 10^1) = 25 x 10^3 x 10 = 250 x 10^3. Now we can rewrite the initial expression to combine these two values: (75 x 10^3) + (250 x 10^3) = (75 + 250) x 10^3 = 325 x 10^3. Next, to express this result in terms of 10^4, we convert 325 x 10^3 to: 325 x 10^3 = 32.5 x 10^4. This conversion illustrates how moving the decimal point one place to the left (which is necessitated by changing the exponent from 3 to 4) scales the coefficient by a factor of 10, resulting in 32.5. Thus, the correct answer showing

To solve the expression (75 x 10^3) + (25 x 10^4), we first need to express both terms with the same exponent as it simplifies the addition process. The term (25 x 10^4) can be rewritten in terms of 10^3 by converting it as follows:

25 x 10^4 = 25 x (10^3 x 10^1) = 25 x 10^3 x 10 = 250 x 10^3.

Now we can rewrite the initial expression to combine these two values:

(75 x 10^3) + (250 x 10^3) = (75 + 250) x 10^3 = 325 x 10^3.

Next, to express this result in terms of 10^4, we convert 325 x 10^3 to:

325 x 10^3 = 32.5 x 10^4.

This conversion illustrates how moving the decimal point one place to the left (which is necessitated by changing the exponent from 3 to 4) scales the coefficient by a factor of 10, resulting in 32.5. Thus, the correct answer showing