Question

25, 2:49 pm
math 1215 final exam
1 perform the indicated operation
$(4 \times 10^5)(1.5 \times 10^3)$
$(4 \times 10^5)(1.5 \times 10^3) = \square$
(use scientific notation use the multiplication symbol in the math palette as needed.)

Explanation:

Step1: Multiply the coefficients

Multiply 4 and 1.5. So, \(4\times1.5 = 6\).

Step2: Add the exponents of 10

For numbers in scientific notation \(a\times10^{m}\) and \(b\times10^{n}\), when multiplying, we add the exponents: \(10^{5}\times10^{3}=10^{5 + 3}=10^{8}\).

Step3: Combine the results

Multiply the result from Step1 and Step2. So, \(6\times10^{8}\).

Answer:

\(6\times10^{8}\)