Question

calculate.
$(2.4 \times 10^{8})(8.9 \times 10^{-3})$
write your answer in scientific notation.

Explanation:

Step1: Multiply the coefficients

Multiply \(2.4\) and \(8.9\). So, \(2.4\times8.9 = 21.36\).

Step2: Multiply the powers of 10

Use the rule \(a^m\times a^n=a^{m + n}\). For \(10^{8}\times10^{-3}\), we get \(10^{8+( - 3)}=10^{5}\).

Step3: Combine the results

Now, combine the coefficient and the power of 10: \(21.36\times10^{5}\). But in scientific notation, the coefficient should be between \(1\) and \(10\). So, rewrite \(21.36\) as \(2.136\times10^{1}\). Then, \(2.136\times10^{1}\times10^{5}=2.136\times10^{6}\).

Answer:

\(2.136\times10^{6}\)