What is the product of 7.1 x 10^3 and 5.8 x 10^2 expressed in scientific notation?

Answer 1

To find the product of (7.1 x 10^3) and (5.8 x 10^2), we multiply the two numbers together:

(7.1 x 10^3) * (5.8 x 10^2) = (7.1 * 5.8) * (10^3 * 10^2) = 41.18 * 10^(3+2) = 41.18 * 10^5

Since 41.18 is a decimal number larger than 1, we can convert it to scientific notation by moving the decimal point one place to the left and increasing the exponent by 1:

41.18 * 10^5 = 4.118 * 10^6

Therefore, the product of 7.1 x 10^3 and 5.8 x 10^2 expressed in scientific notation is 4.118 x 10^6.