8.03 x 10^-8 x 2.56 x 10^-2
show your work
To multiply two numbers written in scientific notation, you need to multiply their coefficients and then add their exponents.
(8.03 x 10^-8) x (2.56 x 10^-2)
Multiplying the coefficients: 8.03 x 2.56 = 20.5568
Adding the exponents: -8 + (-2) = -10
The final answer is 20.5568 x 10^-10.
To multiply two numbers written in scientific notation, we can multiply the coefficients and add the exponents.
Given: (8.03 × 10^-8) × (2.56 × 10^-2)
Step 1: Multiply the coefficients:
8.03 × 2.56 = 20.5568
Step 2: Add the exponents:
10^-8 + 10^-2 = 10^(-8+(-2)) = 10^-10
Therefore, the result is 20.5568 × 10^-10.
To multiply numbers written in scientific notation, you can follow these steps:
1. Multiply the two numbers without considering the powers of 10.
8.03 x 2.56 = 20.5568
2. Multiply the powers of 10 by adding the exponents.
10^-8 x 10^-2 = 10^(-8+(-2)) = 10^-10
3. Combine the result from step 1 with the result from step 2.
20.5568 x 10^-10 = 2.05568 x 10^-9
So the result of 8.03 x 10^-8 x 2.56 x 10^-2 is 2.05568 x 10^-9.