Question

week 5: understanding scientific notation pt. 1
due nov 30 by 11:59pm points 10 submitting an external tool
question
the gross domestic product (gdp) for the united states in 2018 was approximately $2.05×10^{13}$. if you wrote this number in standard notation, it would be the number 205 followed by how many zeroes?
× thats incorrect - mistakes are part of learning. keep trying!
10 zeroes
11 zeroes
12 zeroes
13 zeroes

Explanation:

Step1: Recall the formula for scientific notation

The formula for scientific notation is \(a\times10^{n}\), where \(1\leqslant a<10\) and \(n\) is an integer. In \(2.05\times 10^{13}\), we need to convert it to standard notation.

Step2: Move the decimal point

For \(2.05\times 10^{13}\), we move the decimal point 13 places to the right. Starting with \(2.05\), moving the decimal 13 places: \(2.05\times10^{13}=20500000000000\) (since moving the decimal 2 places from \(2.05\) gives \(205\), and then we have \(13 - 2=11\) more places to move, which means 11 zeros after 205)

Answer:

11 zeroes