Question

calculate.
$(6.8 \times 10^5) + (1.13 \times 10^6)$
write your answer in scientific notation.

Explanation:

Step1: Convert to same exponent

Convert \(1.13\times10^{6}\) to \(11.3\times10^{5}\) (since \(10^{6}=10\times10^{5}\), so \(1.13\times10^{6}=1.13\times10\times10^{5}=11.3\times10^{5}\)) and \(6.8\times10^{5}\) remains.

Step2: Add the coefficients

Add the coefficients: \(6.8 + 11.3 = 18.1\). So we have \(18.1\times10^{5}\).

Step3: Convert to scientific notation

Convert \(18.1\times10^{5}\) to scientific notation. We know that \(18.1 = 1.81\times10^{1}\), so \(18.1\times10^{5}=1.81\times10^{1}\times10^{5}=1.81\times10^{6}\) (using the rule \(a^{m}\times a^{n}=a^{m + n}\)).

Answer:

\(1.81\times10^{6}\)