Question

R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the values of a and b?

Answer 1

`a = 3.7464`

`b = 16`

Explanation:

Given

See attachment for complete question

Required

Express the answer in
`a * 10^b`

From the question, we have:

`People = 4.46 * 10^9`

`Breath = 8.4 * 10^6` breath/person in a year

The number of breath is calculated by:

`Overall = People * Breath`

So, we have:

`Overall = 4.46 * 10^9 * 8.4 * 10^6`

Reorder

`Overall = 4.46 * 8.4* 10^9 * 10^6`

`Overall = 37.464* 10^(9+6)`

`Overall = 37.464* 10^(15)`

Using scientific notation
`a * 10^b`;

The value (a) must be in the following interval
`0 \le a \le 1`

So, we have:

`Overall = 3.7464 * 10 * 10^{15`

`Overall = 3.7464 * 10^{16`

By comparing the above with:
`a * 10^b`

`a = 3.7464`

`b = 16`