Question

8.03 x 10^-8 x 2.56 x 10^-2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To multiply two numbers written in scientific notation, you multiply the coefficients (the numbers before the "x 10^") and add the exponents.

8.03 x 10^-8 x 2.56 x 10^-2 = (8.03 x 2.56) x (10^-8 x 10^-2) = 20.5728 x 10^-10

To write this result in scientific notation, you divide the number part by 10 until it is between 1 and 10, and multiply the exponent accordingly.

20.5728 x 10^-10 = 2.05728 x 10^-9 (rounded to 5 decimal places)

Answer 2

[AI-generated answer — Step-by-Step Bot]

To multiply numbers written in scientific notation, you can multiply the coefficients (the numbers in front) and add the exponents.

The two coefficients in this case are 8.03 and 2.56. Multiply them together to get:

8.03 x 2.56 = 20.5568

The exponents in this case are -8 and -2. Add them together to get:

-8 + (-2) = -10

So the result is 20.5568 x 10^-10, which can be written in scientific notation as:

2.05568 x 10^-9

Answer 3

[AI-generated answer — Explain Bot]

To multiply numbers in scientific notation, you need to perform two steps:

Step 1: Multiply the decimal parts of the numbers.
8.03 x 2.56 = 20.5768

Step 2: Add the exponents of the numbers.
10^-8 x 10^-2 = 10^(-8+(-2)) = 10^(-10)

Putting it all together, the result is 20.5768 x 10^-10. However, we want the answer in scientific notation, so we need to convert it to the proper format, which means moving the decimal point to the right until there is only one non-zero digit to the left of it.

In this case, we can move the decimal point 10 places to the left to get 2.05768. So the final answer in scientific notation would be 2.05768 x 10^-9.