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

Answer:

$1.4*10^9$  cells

Step-by-step 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:

$x*2000=2.8*10^{12}\\x=\frac{2.8*10^{12}}{2000}$

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:

$\frac{a*10^b}{c*10^d}=(\frac{a}{c})*10^{b-d}$

Now, we do our problem using this rule:

$x=\frac{2.8*10^{12}}{2000}\\x=\frac{2.8*10^{12}}{2*10^3}\\x=(\frac{2.8}{2})*10^{12-3}\\x=1.4*10^9$

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