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

Explanation:

Answer 2

b = -7

and

b = -9

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

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:

`(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