Question

calculate.
\\((8.629 \times 10^{11}) + (2.9 \times 10^8)\\)
write your answer in scientific notation.

Explanation:

Step1: Make exponents equal

To add numbers in scientific notation, we need the same exponent. Rewrite \(2.9\times10^{8}\) as \(0.0029\times10^{11}\) (since \(10^{8}=10^{11 - 3}=10^{11}\div10^{3}\), so \(2.9\div10^{3}=0.0029\)).

Step2: Add the coefficients

Now add the coefficients: \(8.629 + 0.0029 = 8.6319\).

Step3: Write in scientific notation

The result is \(8.6319\times10^{11}\) (because the exponent remains \(10^{11}\) as we adjusted the second number to have the same exponent).

Answer:

\(8.6319\times10^{11}\)