Question

multiply. write your answer in scientific notation.
0.08·(1 × 10⁷)

Explanation:

Step1: Multiply the decimal and the coefficient

First, multiply \(0.08\) and \(1\). So, \(0.08\times1 = 0.08\).

Step2: Combine with the power of 10

Now, we have \(0.08\times10^{7}\). But we need to write this in scientific notation. Recall that scientific notation is in the form \(a\times10^{n}\) where \(1\leq a<10\).
Convert \(0.08\) to scientific notation: \(0.08=8\times 10^{- 2}\).
Then, \(8\times10^{-2}\times10^{7}\). Using the rule of exponents \(a^{m}\times a^{n}=a^{m + n}\), we add the exponents: \(-2 + 7=5\). So we get \(8\times10^{5}\).

Answer:

\(8\times10^{5}\)