Question

scientific operations
add these scientific notation numbers and give the answer in scientific notation:
(9.8 x 10⁵) + (2.5 x 10⁴)

Explanation:

Step1: Convert to same exponent

Convert \(2.5 \times 10^4\) to \(0.25 \times 10^5\) (since \(10^4 = 0.1\times10^5\), so \(2.5\times10^4 = 2.5\times0.1\times10^5 = 0.25\times10^5\)).

Step2: Add the coefficients

Add \(9.8\) and \(0.25\): \(9.8 + 0.25 = 10.05\).

Step3: Adjust to scientific notation

Now we have \(10.05 \times 10^5\). Convert to proper scientific notation: \(1.005 \times 10^6\) (since \(10.05 = 1.005\times10^1\), so \(10.05\times10^5 = 1.005\times10^1\times10^5 = 1.005\times10^6\)).

Answer:

\(1.005 \times 10^6\)