Question

Express the following in the usual form
(a) 6.25×10-⁵

Answer 1

So we need to express
`6.25 * 10^(-5)`.

What is being used here is scientific notation, and when the exponent is negative, that means the number is less than 1.

As the exponent is -5, we have to move the coma 5 positions to the left (if it was positive we would have done that put to the right), so:

`6.25 * 10^(-5)=0.0000625`

If you don't understand what does it mean to move the coma to the left, see this example to understand it:

We move it one time from 6.25 --> 0.625

We move it two times from 6.25 --> 0.0625

We move it three times from 6.25 --> 0.00625

We move it four time from 6.25 --> 0.000625

What we are doing is adding 0 to the left and if the exponent was positive, we would add 0 to teh right.

So now we know that
`\boxed{6.25 * 10^(-5)=0.0000625}`

Answer 2

0.0000625

Explanation:

`10^(-5)=0.00001`

`6.25*10^(-5)=6.25*0.00001=0.0000625`