Question

scientific operations
subtract these scientific notation numbers and give the answer in scientific notation:
(3.5 x 10⁹) − (3 x 10⁹)

Explanation:

Step1: Factor out \(10^9\)

Since both terms have \(10^9\), we can factor it out: \((3.5 - 3)\times10^9\)

Step2: Subtract the coefficients

Calculate \(3.5 - 3 = 0.5\), so we have \(0.5\times10^9\)

Step3: Convert to proper scientific notation

In scientific notation, the coefficient must be between 1 and 10. So, \(0.5\times10^9 = 5\times10^8\) (because we move the decimal point one place to the right, we decrease the exponent by 1: \(10^9\) becomes \(10^8\) when the coefficient changes from \(0.5\) to \(5\))

Answer:

\(5\times10^8\)