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 two of the scientific numbers from the list and multiply them. Show
your work.
Let's choose 3.2 x 10^4 and 4.82 x 10^12 to multiply.
To multiply these numbers, we need to multiply the numerical parts and add the exponents.
(3.2 x 4.82) x (10^4 x 10^12)
= 15.424 x 10^(4+12)
= 15.424 x 10^16
Therefore, the product of 3.2 x 10^4 and 4.82 x 10^12 is 15.424 x 10^16.
To multiply two numbers written in scientific notation, you need to multiply their coefficients and add their exponents. Let's choose the first two numbers from the list:
3.2 x 10^4 and 1.95 x 10^6
First, let's multiply the coefficients: 3.2 x 1.95 = 6.24
Next, we need to add the exponents: 10^4 x 10^6 = 10^(4+6) = 10^10
So the product of 3.2 x 10^4 and 1.95 x 10^6 is 6.24 x 10^10.
To multiply two numbers written in scientific notation, you need to multiply the coefficients (the numbers in front of the powers of 10) and add the exponents (the powers of 10).
Let's say we choose 3.2 x 10^4 and 1.95 x 10^6 from the given list.
To multiply them, we multiply the coefficients:
3.2 x 1.95 = 6.24
Then, we add the exponents:
10^4 x 10^6 = 10^(4+6) = 10^10
Therefore, the product of 3.2 x 10^4 and 1.95 x 10^6 is 6.24 x 10^10.