Question

a scientists uses 2.8x^12 cells im one experiment which is 2000 times the number of cells she uses in a second experimeny. Write the number of cells the scientist used in her second experiment in scientific notation.Explain your answer​

Answer 1

`1.4*10^9` cells

Explanation:

Let the number of cells she used in 2nd experiment be "x"

Since the latter experiment she uses LESS, we can say:

"What number times 2000 gives us 2.8 * 10 ^ 12??"

We can create an equation such as:

`x*2000=2.8*10^(12)`

Thus, x would be:

`x*2000=2.8*10^(12)\\x=(2.8*10^(12))/(2000)`

Let's convert 2000 into scientific notation first. We would take decimal point to the left until we have 1 digit to left of decimal and make 10 raised to that many units we take left "to the power".

So

2000 = 2 * 10 ^3

Now, let's remember rule of dividing numbers in scientific notation:

`(a*10^b)/(c*10^d)=((a)/(c))*10^(b-d)`

Now, we do our problem using this rule:

`x=(2.8*10^(12))/(2000)\\x=(2.8*10^(12))/(2*10^3)\\x=((2.8)/(2))*10^(12-3)\\x=1.4*10^9`

Thus, she used
`1.4*10^9` cells in her 2nd experiment