Question

the table below shows the approximate masses of a dust particle and a grain of pollen.

Dust Particle 0.000000778 g
Grain of Pollen 0.00000000155 g

The mass of a dust particle can be estimated and written in the form a × 10^b, where a = 8 and b =

The mass of a grain of pollen can be estimated and written in the form a × 10^b, where a = 2 and b =

Based on the estimates, the mass of a dust particle is approximately BLANK
times larger than the mass of a grain of pollen.

Answer 1

Answer:

b = -7

and

b = -9

The dust particle has 400 times more mass than the pollen particle

Step-by-step explanation:

To answer this problem we use scientific notation.

We know that a number like:

0, 002

It can be written as:

$2 x 10 ^{- 3}$

Where 3 is the number of times the comma (,) must be run to the right to convert the quantity 0, 002 to 2.

0, 002

0| 0 0 2

0 0| 02 -----------1

0 0 0|2------------2

0 0 0 2| ----------3

$2 x 10^{-3}$

Therefore, for the given expression:

Powder particle 0.000000778 g

It can be written as:

 0.0000008 g

$= 8 x 10^{-7}$

b = -7

In the same way

Pollen grain 0.00000000155 g

It can be written as:

0.000000002 g

$2 x 10 ^{-9}$

b = -9

To know how big is the mass of the dust particle with respect to the pollen divide:

$\frac{8 x 10^{-7}}{2 x 10^{-9}}\\\\= 4 x 10^{-7- (-9)}\\\\= 4 x 10^2\\\\= 400$

The dust particle has 400 times more mass than the pollen particle

Answer 2

Answer:

Step-by-step explanation: