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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.

User Stwienert
by
9.2k points

2 Answers

3 votes

Answer:

Explanation:

The table below shows the approximate masses of a dust particle and a grain of pollen-example-1
User Ankit Parmar
by
8.7k points
6 votes

Answer:

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


User Nagy Nick
by
8.1k points

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