Question

find the difference between (1.6 × 10⁸) and (8.2 × 10⁷). write the final answer in scientific notation.
-6.6 × 10¹
6.6 × 10⁻¹
7.8 × 10⁸
7.8 × 10⁷

Explanation:

Step1: Convert to same exponent

Convert \(1.6 \times 10^8\) to \(16 \times 10^7\) (since \(10^8 = 10\times10^7\), so \(1.6\times10^8 = 1.6\times10\times10^7 = 16\times10^7\)).

Step2: Subtract the numbers

Subtract \(8.2 \times 10^7\) from \(16 \times 10^7\): \((16 - 8.2)\times10^7 = 7.8\times10^7\).

Answer:

\(7.8 \times 10^7\) (corresponding to the option "7.8×10⁷")