Multiply write your answer in scientific notation

Question

0.06x (4x10 th the 3 power)

Answer 1

To multiply \(0.06\) by \(4 \times 10^3\), you can follow these steps:

1. Multiply the coefficients (the numbers in front): \[ 0.06 \times 4 = 0.24 \]

2. Then, you keep the power of ten: \[ 0.24 \times 10^3 \]

3. Now, convert \(0.24\) into scientific notation. \(0.24\) can be written as \(2.4 \times 10^{-1}\) (since you move the decimal one place to the right).

4. Combine the two parts: \[ (2.4 \times 10^{-1}) \times (10^3) = 2.4 \times 10^{3 - 1} = 2.4 \times 10^2 \]

So, the final answer in scientific notation is: \[ \boxed{2.4 \times 10^2} \]