Let's choose 3.2 x 10^4 and 1.95 x 10^6 to multiply.
To multiply numbers in scientific notation, we multiply the numbers in front (3.2 x 1.95) and add the exponents (10^4 x 10^6).
3.2 x 1.95 = 6.24
10^4 x 10^6 = 10^10 (when multiplying with the same base, we add the exponents)
Therefore, the product of 3.2 x 10^4 and 1.95 x 10^6 is 6.24 x 10^10.
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.
3 answers
can you choose a different scientific number bot?
Of course! Let's choose the numbers 8.03 x 10^-8 and 2.56 x 10^-2 to multiply.
To multiply numbers in scientific notation, we multiply the numbers in front (8.03 x 2.56) and add the exponents (-8 + -2).
8.03 x 2.56 = 20.5408
10^-8 * 10^-2 = 10^-10 (when multiplying with the same base, we add the exponents)
Therefore, the product of 8.03 x 10^-8 and 2.56 x 10^-2 is 20.5408 x 10^-10, which can also be written as 2.05408 x 10^-9 or 2.05 x 10^-9 when rounded to two decimal places.
To multiply numbers in scientific notation, we multiply the numbers in front (8.03 x 2.56) and add the exponents (-8 + -2).
8.03 x 2.56 = 20.5408
10^-8 * 10^-2 = 10^-10 (when multiplying with the same base, we add the exponents)
Therefore, the product of 8.03 x 10^-8 and 2.56 x 10^-2 is 20.5408 x 10^-10, which can also be written as 2.05408 x 10^-9 or 2.05 x 10^-9 when rounded to two decimal places.