write 0.8, 0.0000006, and 0.000000000004 as a fraction, a fraction with a negative exponent, and the product of a single-digit integer and an integer power of ten (10).

Respuesta :

0.8 is a decimal number to change it to a fraction make the denominator equal 10 because we have one decimal place

[tex]0.8=\frac{8}{10}[/tex]

we can simplify it by divide up and down by 2

[tex]0.8=\frac{8}{10}=\frac{4}{5}[/tex]

To write it with a negative exponent we will reciprocal it and make the exponent -1

[tex]0.8=(\frac{10}{8})^{-1}=(\frac{5}{4})^{-1}[/tex]

To write it as a product of a single-digit integer and an integer power of ten

Make the denominator 10 = 10^(-1)

[tex]0.8=8\times10^{-1}[/tex]

Let us do the same with 0.0000006

[tex]0.0000006=\frac{6}{10000000}[/tex]

Because we have 7 decimal places the denominator has 7 zeros

We can divide up and down by 2 to simplify it

[tex]0.0000006=\frac{6}{10000000}=\frac{3}{5000000}[/tex]

Let us write it with a negative exponent

[tex]0.0000006=(\frac{10000000}{6})^{-1}=(\frac{5000000}{3})^{-1}[/tex]

The number as a product of single-digit times 10 to the power is

[tex]0.0000006=6\times10^{-7}[/tex]

You can do the last number in the same way