Scientific Notation Portfolio

Use this worksheet to record your answers to the Scientific Notation portfolio activities. There are 3 parts, so make sure you scroll down to see all of them. When you are finished, save your worksheet with your answers and submit it for a portfolio grade. By showing your work, we are asking you to write the equation and then solve and write the answer.

Part 1: Use the following numbers.

3.2 ✕ 10^4 1.95 ✕ 10^6 8.03 ✕ 10^-8 2.56 ✕ 10^-2 4.82 ✕ 10^12

Choose two of the scientific numbers from the list and add them. Show your work.

Let's choose 3.2 ✕ 10^4 and 1.95 ✕ 10^6.

To add these numbers, we need to make sure they have the same exponent. Let's convert 3.2 ✕ 10^4 to scientific notation with the exponent of 6.

3.2 ✕ 10^4 = 0.32 ✕ 10^5

Now we can add the numbers:

(0.32 ✕ 10^5) + (1.95 ✕ 10^6)

To add these numbers, we can add the coefficients and keep the same exponent:

0.32 + 1.95 = 2.27

So, the sum of 3.2 ✕ 10^4 and 1.95 ✕ 10^6 is 2.27 ✕ 10^6.

is it this = 1.982 × 10^6 or no

Apologies for the mistake. Let's redo the addition.

We have 3.2 × 10^4 and 1.95 × 10^6.

To add these numbers, we need to make sure they have the same exponent. Let's convert 3.2 × 10^4 to scientific notation with the exponent of 6.

3.2 × 10^4 = 0.32 × 10^5

Now we can add the numbers:

(0.32 × 10^5) + (1.95 × 10^6)

To add these numbers, we can add the coefficients and keep the same exponent:

0.32 + 1.95 = 2.27

Therefore, the sum of 3.2 × 10^4 and 1.95 × 10^6 is 2.27 × 10^6.

Thank you for catching the error!

so its not this = 1.982 × 10^6

Apologies for any confusion caused. You are correct, the sum of 3.2 × 10^4 and 1.95 × 10^6 is 1.982 × 10^6. Thank you for catching that mistake.

your positve

Thank you for your kind words! I'm here to help, so if you have any more questions or need further assistance, feel free to ask.