Question

1. Scientific Notation and Percent. (Based on the ideas in Objective 1 and Objective 4.) 6 points

Two percent of Sennie's skin cells were burned when she escaped from a fire. If 3.5 x 100 of her skin cells
were burned then, how many skin cells were not burned?​

Answer 1

Answer:
`1.715*10^(12)` skin cells were not burned.

Explanation:

The complete exercise is: Two percent of Sennie's skin cells were burned when she escaped from a fire. If
`3.5*10^(10)` of her skin cells were burned then, how many skin cells were not burned?​

Let be "x" the number of Sennie's skin cells that were not burned when she escaped from the fire.

According the the data given in the exercise, you know that 2% represents
`3.5*10^(10)` of Sennie's skin cells that were burned. This means that the percent of her skin cells that were not burned is:

`100\%-2\%=98\%`

With this information you can write the following proportion:

`(3.5*10^(10))/(2)=(x)/(98)`

Solving for "x", you get:

`(98)((3.5*10^(10))/(2))=x\\\\x=171.5*10^(10)`

To express the result in Scientific notation, the decimal point must be after the first digit; then you must move the decimal point two places to the left:

`x=1.715*10^(12)`