Question

Write these numbers in standard form

Answer 1

a.
`4*10^(-5)`

b.
`5*10^(-5)`

c.
`6*10^(-6)`

d.
`8*10^(-10)`

Explanation:

To write the above given numbers in standard form, all you need to do is count how many places you have to move the decimal point till you get to a non-zero digit. The number of places you move the decimal point to the right would determine the value of the negative power you would raise to 10.

a. 0.00004:

To place our decimal point after the first non-zero digit in this number given, we would have to move the decimal point to 5 places. The digit 4, would now be multiples by 10 raised to the negative power of 4.

The standard form would be:
`4*10^(-5)`.

Now let's check if we're correct.

`4*10^(-1) = 4*(1)/(10^5) = 4*(1)/(100,000) = 4*0.00001 = 0.00004`

Follow same procedure as shown above to write the rest numbers in standard form.

You should have the following as their standard form:

b.
`0.00005 = 5*10^(-5)`

c.
`0.000006 = 6*10^(-6)`

d.
`0.0000000006 = 8*10^(-10)`