Evaluate. Express each result in scientific and standard notation.
(4 x 10^2)(15 x 10^-6)
Online "*" is used to indicate multiplication, because "x" is often confused with an unknown.
(4 * 10^2)(15 * 10^-6) = 60 * 10^-4
To evaluate the expression (4 x 10^2)(15 x 10^-6), we can follow these steps:
Step 1: Multiply the coefficients (numbers) together: 4 x 15 = 60.
Step 2: Add the exponents of the powers of 10: 10^2 x 10^-6 = 10^(-4).
Step 3: Combine the coefficient and the power of 10: 60 x 10^-4.
Step 4: Simplify the expression by converting it to scientific notation. In scientific notation, the coefficient is a decimal between 1 and 10, multiplied by a power of 10.
To convert 60 x 10^-4 to scientific notation, we can write it as 6 x 10^1 x 10^-4.
Combining the powers of 10, we get 6 x 10^(1 - 4) = 6 x 10^-3.
So, the result in scientific notation is 6 x 10^-3.
To convert it to standard notation, we can multiply the coefficient by the power of 10:
6 x 10^-3 = 0.006
Therefore, the result in standard notation is 0.006.