Question

Can some help me on this

Answer 1

3*10^3

3*10^2

3*10^1

3*10^0

3*10^-1

3*10^-2

3*10^-3

Explanation:

work shown below

Answer 2

Power of 10

The Power of 10 refers to the number of times 10 is multiplied by itself (this is usually found by the exponent next to the 10)

`10^(1)` is the same at 10 × 1

`10^(2)` is the same as 10 × 10 = 100

`10^(3)` is the same as 10 × 10 × 10= 1000

A trick for positive exponents such as
`10^(2) , 10^(3) , 10^(4)` and so on is the use the exponent number as a reference to the number of zeros that will be placed behind the 1.
`10^(2)` = 100, and as you can see there are 2 zeros after the 1 in the 100, same as the 2 in the exponent.

The inverse is the same:

`10^(-1)` is the same as 10 ×0.1 =1

`10^(-2)` is the same as 10 × 0.1 × 0.1 = 0.10

`10^(-3)` is the same as 10 × 0.1 × 0.1 × 0.1 = 0.010

Another trick that will help with problems regarding the power of 10 is counting decimal places. This is mainly used for negative exponents.The picture attached provides a clearer explanation, but essentially, the exponent describes by how much the decimal place will move. In
`10^(-2)` , the decimal place in 10.0 (this is a different way to write 10) will move forward twice, leaving you with 0.1.

The only exception to these rules in
`10^(0)`, which will always be 1. Any number raised by the power of 0 will equal 1.

To answer this question, you will need to multiply 3 by one of the power of 10.

For 300, that will equal 3 ×
`10^(2)`.

Use these rules to find the rest of the answers.