Answer:
[tex]a = 3.7464[/tex]
[tex]b = 16[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Express the answer in [tex]a * 10^b[/tex]
From the question, we have:
[tex]People = 4.46 * 10^9[/tex]
[tex]Breath = 8.4 * 10^6[/tex] breath/person in a year
The number of breath is calculated by:
[tex]Overall = People * Breath[/tex]
So, we have:
[tex]Overall = 4.46 * 10^9 * 8.4 * 10^6[/tex]
Reorder
[tex]Overall = 4.46 * 8.4* 10^9 * 10^6[/tex]
[tex]Overall = 37.464* 10^{9+6}[/tex]
[tex]Overall = 37.464* 10^{15}[/tex]
Using scientific notation [tex]a * 10^b[/tex];
The value (a) must be in the following interval [tex]0 \le a \le 1[/tex]
So, we have:
[tex]Overall = 3.7464 * 10 * 10^{15[/tex]
[tex]Overall = 3.7464 * 10^{16[/tex]
By comparing the above with: [tex]a * 10^b[/tex]
[tex]a = 3.7464[/tex]
[tex]b = 16[/tex]
