Question

evaluate. express your answer in scientific notation. 2,060,000 + 2.66 × 10⁵

Explanation:

Step1: Convert 2,060,000 to scientific notation

To convert 2,060,000 to scientific notation, we move the decimal point 6 places to the left, so it becomes \(2.06\times10^{6}\).

Step2: Convert \(2.66\times10^{5}\) to the same exponent as \(2.06\times10^{6}\)

We know that \(10^{6}=10\times10^{5}\), so \(2.66\times10^{5}=0.266\times10^{6}\).

Step3: Add the two numbers in scientific notation

Now we add \(2.06\times10^{6}\) and \(0.266\times10^{6}\). When adding numbers in scientific notation with the same exponent, we add the coefficients: \(2.06 + 0.266 = 2.326\). So the result is \(2.326\times10^{6}\).

Answer:

\(2.326\times10^{6}\)