Question

(3.7 × 10⁴) + (5.2 × 10³)

Explanation:

Step1: Convert to same exponent

Convert \(5.2\times10^{3}\) to \(0.52\times10^{4}\) (since \(10^{3}=0.1\times10^{4}\), so \(5.2\times10^{3}=5.2\times0.1\times10^{4}=0.52\times10^{4}\))

Step2: Add the coefficients

Add \(3.7\) and \(0.52\): \(3.7 + 0.52 = 4.22\)

Step3: Combine with exponent

Combine with \(10^{4}\): \(4.22\times10^{4}\) (or \(42200\) in standard form)

Answer:

\(4.22\times10^{4}\) (or \(42200\))