Question
8.03x10^-8 x 2.56x10^-2=?
show your work and write it in scientific notation.
show your work and write it in scientific notation.
Answers
GPT 3.5
To multiply two numbers in scientific notation, you need to multiply their decimal parts and their exponent parts separately, and then combine them.
Given:
First number: 8.03 × 10^-8
Second number: 2.56 × 10^-2
Multiplying the decimal parts: 8.03 × 2.56 = 20.5568
Multiplying the exponent parts: 10^-8 × 10^-2 = 10^(-8-2) = 10^-10
Therefore, the result is 20.5568 × 10^-10.
In scientific notation, we typically express the decimal part as a number between 1 and 10, so we need to express 20.5568 as 2.05568 × 10.
The final answer in scientific notation is:
2.05568 × 10^(-10)
Given:
First number: 8.03 × 10^-8
Second number: 2.56 × 10^-2
Multiplying the decimal parts: 8.03 × 2.56 = 20.5568
Multiplying the exponent parts: 10^-8 × 10^-2 = 10^(-8-2) = 10^-10
Therefore, the result is 20.5568 × 10^-10.
In scientific notation, we typically express the decimal part as a number between 1 and 10, so we need to express 20.5568 as 2.05568 × 10.
The final answer in scientific notation is:
2.05568 × 10^(-10)