Question

scientific operations
add these scientific notation numbers and give the answer in scientific notation:
(7.8 x 10⁷) + (3.2 x 10⁷)

Explanation:

Step1: Factor out \(10^7\)

Since both terms have \(10^7\), we can factor it out: \((7.8 + 3.2) \times 10^7\)

Step2: Add the coefficients

Calculate \(7.8 + 3.2 = 11\), so we have \(11 \times 10^7\)

Step3: Convert to proper scientific notation

In scientific notation, the coefficient must be between 1 and 10. So, \(11 \times 10^7 = 1.1 \times 10^8\) (because we move the decimal one place left, increasing the exponent by 1)

Answer:

\(1.1 \times 10^8\)