Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

week 5: understanding scientific notation pt. 1 due nov 30 by 11:59pm p…

Question

week 5: understanding scientific notation pt. 1
due nov 30 by 11:59pm points 10 submitting an external tool
if the number ( 3.92\times10^{10} ) is written in standard notation, it is the number 392 followed by how many zeroes?
select the correct answer below:
6 zeroes
7 zeroes
9 zeroes
5 zeroes
8 zeroes

Explanation:

Step1: Expand the scientific notation

$$3.92\times10^{10}=3.92\times10\times10^{9}=39.2\times10^{9}=392\times10^{8}$$

Step2: Count the number of zeros

Since \(10^{8}\) means \(1\) followed by \(8\) zeros, when we have \(392\times10^{8}\), it is \(392\) followed by \(8\) zeros.

Answer:

8 zeroes