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 multiply it by 256.7. Show your work.

1 answer

Let's choose the number 3.2 x 10^4 and multiply it by 256.7.

To do this, we can simply multiply the two numbers together:

3.2 x 10^4 * 256.7 = 819.2 x 10^4

However, we need to express the answer in proper scientific notation. To do this, we need to adjust the decimal point so that it is after the first non-zero digit. In this case, moving the decimal point to the left once gives us:

8.192 x 10^5

So, multiplying 3.2 x 10^4 by 256.7 gives us 8.192 x 10^5.