Question

The correct number units and number of significant figures. (8.99 x 10-4 m) x (3.6 x 104)

A) 3.24 x 10-7 m2
B) 3.24 x 10-6 m2
C) 3.24 x 10-5 m2
D) 3.24 x 10-4 m2

Answer 1

To multiply two numbers in scientific notation, multiply the coefficients and add the exponents. The answer in scientific notation is 3.24 x 10^-2 m^2.

Step-by-step explanation:

To multiply two numbers in scientific notation, you multiply the coefficients (the numbers before the multiplication sign) and add the exponents (the numbers after the multiplication sign).

In this case, we have (8.99 x 10-4 m) x (3.6 x 104). Multiplying the coefficients gives us 8.99 x 3.6 = 32.364.

Adding the exponents gives us 10-4 + 104 = 100.

To write the answer in scientific notation, we need to move the decimal point to the appropriate place to have only one non-zero digit in front of it.

In this case, we need to move it to the left 2 places, giving us 3.24 x 10-2.

Since we are multiplying two lengths, the correct unit is square meters, so the final answer is 3.24 x 10-2 m2, which corresponds to option A.