Join thousands of students who trust us to help them ace their exams!
Multiple Choice
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
0 Comments
Verified step by step guidance
1
Identify the two numbers given in scientific notation: \(9.3 \times 10^{6}\) and \(1.8 \times 10^{4}\).
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.
Add the coefficients (the numbers in front) while keeping the exponent the same: \$9.3 + 0.018 = 9.318$.
Combine the sum of the coefficients with the common exponent to get \(9.318 \times 10^{6}\).
Verify that the result is in proper scientific notation, where the coefficient is between 1 and 10, which it is in this case.