Calculate (9.3 × 10^6) + (1.8 × 10^4) and express your answer in scientific notation.

• A. 9.32 × 10^6
• B. 1.11 × 10^7
• C. 1.8 × 10^11
• D. 9.318 × 10^6

Answer: (D)

Verified step by step guidance

1. Identify the two numbers given in scientific notation: \$9.3 \times 10^{6}\( and \)1.8 \times 10^{4}$.
2. To add numbers in scientific notation, first express both numbers with the same exponent. Since \$9.3 \times 10^{6}\( has the larger exponent, rewrite \)1.8 \times 10^{4}\( as \)0.018 \times 10^{6}$ by shifting the decimal point two places to the left and increasing the exponent by 2.
3. Add the coefficients (the numbers in front) while keeping the exponent the same: \$9.3 + 0.018 = 9.318$.
4. Combine the sum of the coefficients with the common exponent to get \$9.318 \times 10^{6}$.
5. Verify that the result is in proper scientific notation, where the coefficient is between 1 and 10, which it is in this case.