In this problem, you will practice added, subtracting, multiplying, and dividing numbers written in scientific notation. For each part, use the following numbers.

3.2 x 10^4, 1.95 x 10^6, 8.03 x 10^-8, 2.56 x 10^-2, 4.82 x 10^12
Choose one of the scientific numbers from the list and divide it by 0.3 (or
divide 0.3 by the number you choose). Show your work.

1 answer

Let's choose the number 3.2 x 10^4 from the list.

To divide 3.2 x 10^4 by 0.3, we can rewrite 0.3 as 3 x 10^-1 in scientific notation.

So, we have:

3.2 x 10^4 / (3 x 10^-1)

To divide these numbers, we can divide the coefficients (3.2 divided by 3) and subtract the exponents (10^4 divided by 10^-1).

3.2 / 3 = 1.0666666666666667

10^4 / 10^-1 = 10^(4 - (-1)) = 10^5

So, the result is:

1.0666666666666667 x 10^5

Alternatively, if we want to divide 0.3 by 3.2 x 10^4, we can rewrite 0.3 as 3 x 10^-1 in scientific notation.

So, we have:

0.3 / (3.2 x 10^4)

To divide these numbers, we can divide the coefficients (0.3 divided by 3.2) and subtract the exponents (10^-1 divided by 10^4).

0.3 / 3.2 = 0.09375

10^-1 / 10^4 = 10^(-1 - 4) = 10^-5

So, the result is:

0.09375 x 10^-5